{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bibliography" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some references for *How to Build a Wormhole*:\n", "\n", "* [Quantum Gravity in the Lab, Et al](https://arxiv.org/abs/1911.06314).\n", "* [Kindergarten Quantum Mechanics, Bob Coecke](https://arxiv.org/abs/quant-ph/0510032).\n", "* [Time-reversal formalism applied to maximal bipartite entanglement: Theoretical and experimental exploration, M. Laforest, J. Baugh, R. Laflamme](https://arxiv.org/abs/quant-ph/0510048).\n", "* [Braiding Majorana Fermions, Louis Kauffman and Samuel J. Lomonaco](https://arxiv.org/abs/1603.07827)\n", "* [Dear Qubitzers, GR=QM; Leonard Susskind](https://arxiv.org/abs/1708.03040).\n", "* [The Quantum Physics Sequence, Eliezer Yudkowsky](https://www.lesswrong.com/posts/hc9Eg6erp6hk9bWhn/the-quantum-physics-sequence)\n", "* [From quantum foundations via natural language meaning to a theory of everything, Bob Coecke](https://arxiv.org/abs/1602.07618)\n", "\n", "Some random lectures worth checking out:\n", "* [Quantum Teleportation in the Lab, Stefan Leichenauer](https://www.youtube.com/watch?v=9VT9U4tDK-w).\n", "* [A Quantum Circuit Interpretation of Evaporating Black Hole Geometry, Ying Zhao](https://www.youtube.com/watch?v=o8r56S-nXbI).\n", "* [New roles for wormholes, Douglas Standford](https://www.youtube.com/watch?v=-hfcApA9s8Q).\n", "* [Quantum Natural Language Processing, Bob Coecke](https://www.youtube.com/watch?v=mL-hWbwVphk).\n", " * Check out this [medium post](https://medium.com/cambridge-quantum-computing/quantum-natural-language-processing-748d6f27b31d) and this [repository](https://github.com/oxford-quantum-group/discopy). A word to the wise is to install pytket==0.4.1 with python 3.7, and also pytket-qiskit==0.3.6. \n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Re: The Majorana Representation\n", "\n", "\n", "Jason Zimba, & Roger Penrose (1993). On bell non-locality without probabilities: More curious geometry Studies in History and Philosophy of Science Part A, 24(5), 697 - 720.\n", "\n", "Jean-Pierre Amiet, & Stefan Weigert (1999). Coherent states and the reconstruction of pure spin states Journal of Optics B: Quantum and Semiclassical Optics, 1(5), L5–L8.\n", "\n", "Bengtsson, I. (Year is required!). Geometry of quantum states : an introduction to quantum entanglement. (Vol. 9780521814515) Cambridge University Press.\n", "\n", "H Mäkelä, & A Messina (2010). N-qubit states as points on the Bloch sphere Physica Scripta, T140, 014054.\n", "\n", "Kolenderski, P. (2010). Geometry of Pure States of N Spin-J System Open Systems & Information Dynamics, 17(02), 107–119.\n", "\n", "Markham, D. (2011). Entanglement and symmetry in permutation-symmetric states Physical Review A, 83(4).\n", "\n", "Ribeiro, P., & Mosseri, R. (2011). Entanglement in the Symmetric Sector of n-Qubits Physical Review Letters, 106(18).\n", "\n", "Martin Aulbach. (2011). Symmetric entanglement classes for n qubits.\n", "\n", "Devi, A., Sudha, & Rajagopal, A. (2011). Majorana representation of symmetric multiqubit states Quantum Information Processing, 11(3), 685–710.\n", "\n", "Liu, Y., Roy, A., & Stone, M. (2012). Non-Abelian Berry transport, spin coherent states and Majorana points Journal of Physics A: Mathematical and Theoretical, 45(13), 135304.\n", "\n", "Ganczarek, W., Kuś, M., & Życzkowski, K. (2012). Barycentric measure of quantum entanglement Physical Review A, 85(3).\n", "\n", "Bruno, P. (2012). Quantum Geometric Phase in Majorana’s Stellar Representation: Mapping onto a Many-Body Aharonov-Bohm Phase Physical Review Letters, 108(24).\n", "\n", "Baecklund, A., & Bengtsson, I. (2014). Four remarks on spin coherent states Physica Scripta, T163, 014012.\n", "\n", "Liu, H., & Fu, L. (2014). Representation of Berry Phase by the Trajectories of Majorana Stars Physical Review Letters, 113(24).\n", "\n", "Liu, H.D., Fu, L.B., & Wang, X.G. (2017). Coherent-State Approach for Majorana Representation Communications in Theoretical Physics, 67(6), 611.\n", "\n", "Chryssomalakos, C., Guzmán-González, E., & Serrano-Ensástiga, E. (2018). Geometry of spin coherent statesJournal of Physics A: Mathematical and Theoretical, 51(16), 165202.\n", "\n", "Patrick Bruno. (2018). Maxwell-Sylvester Multipoles and the Geometric Theory of Irreducible Tensor Operators of Quantum Spin Systems.\n", "\n", "Márton Vaitkus. (2018). A Physical Perspective on Control Points and Polar Forms: Bézier Curves, Angular Momentum and Harmonic Oscillators.\n", "\n", "M R Dennis (2004). Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere Journal of Physics A: Mathematical and General, 37(40), 9487–9500.\n", "\n", "Dennis, M. (2005). Correlations between Maxwell’s multipoles for Gaussian random functions on the sphere Journal of Physics A: Mathematical and General, 38(8), 1653–1658.\n", "\n", "Jeffrey R. Weeks. (2004). Maxwell's Multipole Vectors and the CMB.\n", "\n", "Bacry, H. Eigenstates of complex linear combinations of J1, J2, J3 for any representation of SU(2) Journal of mathematical physics, 19(5).\n", "\n", "Demosthenes Ellinas, & Vassilios Kovanis. (1993). Motion of Wavefunction Zeros in Spin-Boson Systems.\n", "\n", "Bacry, H. (1980). Constellations and projective classical groups Comm. Math. Phys., 72(2), 119–130.\n", "\n", "Markoulakis, E., Konstantaras, A., Chatzakis, J., Iyer, R., & Antonidakis, E. (2019). Real time observation of a stationary magnetonResults in Physics, 15, 102793.\n", "\n", "Gazeau, Jean-Pierre. Coherent States In Quantum Physics. Weinheim: Wiley-VCH, 2009.\n", "\n", "J M Radcliffe 1971 J. Phys. A: Gen. Phys. 4 313 \"Some properties of coherent spin states\"\n", "\n", "Yao, F., Li, D., Liu, H. et al. The Exact Curve Equation for Majorana Stars. Sci Rep 7, 15558 (2017). \n", "\n", "P Leboeuf 1991 J. Phys. A: Math. Gen. 24 4575 \"Phase space approach to quantum dynamics\"\n", "\n", "Majorana, Ettore, Il Nuovo Cimento, vol. 9, 1932, pp. 43-50, by P. Radicati di Brozolo. \"Oriented atoms in a variable magnetic field\"\n", "\n", "J H Hannay 1998 J. Phys. A: Math. Gen. 31 L53, \"The Berry phase for spin in the Majorana representation\"\n", "\n", "Schwinger, Julian. On Angular Momentum. Oak Ridge, Tennessee: U.S. Atomic Energy Commission , 1952.\n", "\n", "Liu Hao-Di, Fang Jie, Zheng Tai-Yu. Majorana Representation and Mean Field Approach for Interacting-Boson System. Communications in Theoretical Physics, 2017, 68(4): 439 \n", "\n", "Majorana Representation in Quantum Optics\n", "SU(2) Interferometry and Uncertainty Relations\n", "SAROOSH SHABBIR\n", "Doctoral Thesis in Physics KTH School of Engineering Sciences Stockholm, Sweden, 2017\n", "\n", "Majorana Representation and Mean Field Approach for Interacting-Boson System\n", "Liu Hao-Di , Fang Jie, Zheng Tai-Yu\n", "Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China\n", "\n", "A Quantum Constellation\n", "Qian Niu\n", "Department of Physics, The University of Texas at Austin, Austin, TX 78712-0264, USA\n", "International Center for Quantum Materials, Peking University, Beijing, China\n", "June 11, 2012• Physics 5, 65\n", "https://physics.aps.org/articles/v5/65\n", "\n", "Comments concerning Julian Schwinger’s\n", "“ON ANGULAR MOMENTUM”\n", "Nicholas Wheeler, Reed College Physics Department October 2000\n", "\n", "MAJORANA REPRESENTATION OF HIGHER SPIN STATES\n", "Nicholas Wheeler, Reed College Physics Department September 2000\n", "\n", "Remarks concerning the explicit construction of\n", "SPIN MATRICES FOR ARBITRARY SPIN\n", "Nicholas Wheeler, Reed College Physics Department August 2000\n", "\n", "\n", "The Dirac Algebra for Any Spin* David N. Williams\n", "Eidgen ̈ossiche Technische Hochschule Zu ̈rich\n", "Presented at the Lorentz Group Symposium, Institute for Theoretical Physics, Univer- sity of Colorado, Summer, 1964. Published in Lectures in Theoretical Physics, vol. VIIa, University of Colorado Press, Boulder, 1965, pp. 139-172. \n", "\n", "Scattering Equations:\n", "From Projective Spaces to Tropical Grassmannians\n", "Freddy Cachazo,a Nick Early,b Alfredo Guevara,a,c,d and Sebastian Mizeraa,c\n", "rXiv:1903.08904v2 [hep-th] 8 May 2019" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Atiyah Conjecture\n", "\n", "Edinburgh Lectures on Geometry, Analysis and Physics\n", "Sir Michael Atiyah Notes by Thomas Koppe\n", "arXiv:1009.4827v1 [math.AG] 24 Sep 201\n", "\n", "ATIYAH-SUTCLIFFE TYPE CONSTRUCTIONS EXIST FOR ALL CLASSICAL GROUPS\n", "JOSEPH MALKOUN\n", "arXiv:1508.04076v1 [math.MG] 17 Aug 2015\n", "\n", "CONFIGURATION SPACES OF POINTS, SYMMETRIC GROUPS AND POLYNOMIALS OF SEVERAL VARIABLES\n", "JOSEPH MALKOUN\n", "arXiv:1509.06629v2 [math.MG] 20 Nov 2015\n", "\n", "THE ATIYAH-SUTCLIFFE DETERMINANT\n", "J. MALKOUN\n", "arXiv:1903.05957v1 [math.MG] 14 Mar 2019\n", "\n", "Indistinguishability for Quantum Particles: Spin, Statistics and the Geometric Phase Author(s): M. V. Berry and J. M. Robbins\n", "Source: Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 453, No. 1963 (Aug. 8, 1997), pp. 1771-1790\n", "Published by: Royal Society\n", "Stable URL: https://www.jstor.org/stable/53019 Accessed: 14-06-2020 08:19 UTC\n", "\n", "THE GEOMETRY OF POINT PARTICLES\n", "Michael Atiyah † and Paul Sutcliffe ‡\n", "http://arxiv.org/abs/hep-th/0105179v2\n", "\n", "POLYHEDRA IN PHYSICS, CHEMISTRY AND GEOMETRY ∗\n", "Michael Atiyah † and Paul Sutcliffe ‡\n", "http://arXiv.org/abs/math-ph/0303071v1\n", "\n", "The Relativistic Geometry and Dynamics of Electrons M. F. Atiyah1 · J. Malkoun2\n", "Found Phys (2018) 48:199–208 https://doi.org/10.1007/s10701-018-0139-2\n", "\n", "The Geometry of Classical Particles\n", "Michael Atiyah\n", "Surveys in Differential Geometry, 2000: p 1-15\n", "\n", "Configurations of points\n", "M. Atiyah\n", "Phil. Trans. R. Soc. Lond. A 2001 359, 1375-1387 doi: 10.1098/rsta.2001.0840" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bohmian Mechanics\n", "\n", "Understanding Bohmian mechanics: A dialogue\n", "Roderich Tumulkaa)\n", "Dipartimento di Fisica and INFN sezione di Genova, Universita` di Genova, Via Dodecaneso 33, 16146 Genova, Italy\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Quantum Linguistics\n", "\n", "The Frobenius Anatomy of Relative Pronouns\n", "Stephen Clark Bob Coecke Mehrnoosh Sadrzadeh\n", "\n", "Lambek vs. Lambek: Functorial Vector Space Semantics and String Diagrams for Lambek Calculus\n", "Bob Coecke, Edward Grefenstette, Mehrnoosh Sadrzadeh\n", "arXiv:1302.0393v1 [math.LO] 2 Feb 201\n", "\n", "A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure\n", "Stephen Clark\n", "University of Cambridge Computer Laboratory\n", "Bob Coecke, Edward Grefenstette, Stephen Pulman\n", "University of Oxford Department of Computer Science\n", "Mehrnoosh Sadrzadeh\n", "Queen Mary, London\n", "School of Electronic Engineering and Computer Science\n", "arXiv:1305.0556v2 [cs.CL] 11 Oct 2013\n", "\n", "\n", "Category-Theoretic Quantitative Compositional Distributional Models of Natural Language Semantics\n", "Edward Grefenstette\n", "arXiv:1311.1539v1 [cs.CL] 6 Nov 2013\n", "\n", "The Frobenius anatomy of word meanings I: subject and object relative pronouns\n", "Mehrnoosh Sadrzadeh\n", "Queen Mary University of London School of Electronic Eng. and Computer Science\n", "mehrs@eecs.qmul.ac.uk\n", "Stephen Clark University of Cambridge Computer Laboratory sc609@cam.ac.uk\n", "Bob Coecke University of Oxford\n", "Dept. of Computer Science\n", "coecke@cs.ox.ac.uk\n", "http://arxiv.org/abs/1404.5278v1\n", "\n", "The Frobenius anatomy of word meanings II: possessive relative pronouns\n", "Mehrnoosh Sadrzadeh\n", "Queen Mary University of London\n", "School of Electronic Eng. and Computer Science\n", "mehrs@eecs.qmul.ac.uk\n", "Stephen Clark University of Cambridge Computer Laboratory\n", "Bob Coecke University of Oxford Dept. of Computer Science\n", "stephen.clark@cl.cam.ac.uk coecke@cs.ox.ac.uk\n", "http://arxiv.org/abs/1406.4690v1\n", "\n", "A Compositional Explanation of the ‘Pet Fish’ Phenomenon\n", "Bob Coecke1 and Martha Lewis1\n", "http://arxiv.org/abs/1509.06594v1\n", "\n", "Dual Density Operators and Natural Language Meaning\n", "Daniela Ashoush and Bob Coecke\n", "Kartsaklis, D., Lewis, M. and Rimell, L. (Eds):\n", "2016 Workshop on Semantic Spaces at the Intersection of NLP, Physics and Cognitive Science (SLPCS’16)\n", "EPTCS 221, 2016, pp. 1–10, doi:10.4204/EPTCS.221.1\n", "\n", "Double Dilation ‰ Double Mixing\n", "Maaike Zwart and Bob Coecke\n", "http://arxiv.org/abs/1704.02309v1\n", "\n", "Towards Compositional Distributional Discourse Analysis\n", "Bob Coecke, Giovanni de Felice, Dan Marsden & Alexis Toumi\n", "B. Coecke, J. Hedges, D. Kartsaklis, M. Lewis, D. Marsden (Eds.): 2018 Workshop on Compositional Approaches\n", "for Physics, NLP, and Social Sciences (CAPNS)\n", "EPTCS 283, 2018, pp. 1–12, doi:10.4204/EPTCS.283.1\n", "arXiv:1902.00032v1 [quant-ph] 31 Jan 2019\n", "\n", "The Mathematics of Text Structure\n", "Bob Coecke\n", "arXiv:1904.03478v2 [cs.CL] 28 Feb 2020\n", "\n", "Meaning updating of density matrices\n", "Bob Coecke\n", "Oxford University, Department of Computer Science Cambridge Quantum Computing Ltd. coecke@cs.ox.ac.uk\n", "Konstantinos Meichanetzidis\n", "Oxford University, Department of Computer Science Cambridge Quantum Computing Ltd. k.mei@cambridgequantum.com\n", "arXiv:2001.00862v1 [quant-ph] 3 Jan 2020\n", "\n", "Quantum Natural Language Processing on Near-Term Quantum Computers\n", "K. Meichanetzidis, G. De Felice, A. Toumi and B. Coecke\n", "http://arxiv.org/abs/2005.04147v1\n", "\n", "From word to sentence:\n", "a computational algebraic approach to grammar.\n", "Joachim Lambek\n", "McGill University, Montreal, Canada." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Categorical Quantum Mechanics\n", "\n", "CATEGORICAL QUANTUM MECHANICS\n", "Samson Abramsky and Bob Coecke\n", "http://arXiv.org/abs/0808.1023v1\n", "\n", "Quantum picturalism\n", "Bob Coecke∗\n", "arXiv:0908.1787v1 [quant-ph] 13 Aug 200\n", "\n", "Kindergarten Quantum Mechanics\n", "— lecture notes — Bob Coecke\n", "http://arXiv.org/abs/quant-ph/0510032v1\n", "\n", "Picturing Quantum Processes\n", "Bob Coecke Aleks Kissinger\n", "\n", "\n", "The algebra of entanglement and the geometry of composition\n", "Amar Hadzihasanovic\n", "http://arxiv.org/abs/1709.08086v2\n", "\n", "Categorical Semantics for Time Travel\n", "Nicola Pinzani\n", "Quantum Group University of Oxford nicola.pinzani@cs.ox.ac.uk\n", "Stefano Gogioso Quantum Group University of Oxford\n", "stefano.gogioso@cs.ox.ac.uk\n", "Bob Coecke Quantum Group University of Oxford\n", "bob.coecke@cs.ox.ac.uk\n", "\n", "A Diagrammatic Approach to Quantum Dynamics\n", "Stefano Gogioso\n", "arXiv:1905.13111v1 [quant-ph] 30 May 2019\n", "\n", "DisCoPy: Monoidal Categories in Python\n", "Giovanni de Felice, Alexis Toumi, Bob Coecke\n", "arXiv:2005.02975v1 [math.CT] 6 May 202\n", "\n", "The Logic of Entanglement\n", "Bob Coecke\n", "http://arXiv.org/abs/quant-ph/0402014v2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Foundations\n", "\n", "From quantum foundations via natural language meaning to a theory of everything\n", "Bob Coecke University of Oxford coecke@cs.ox.ac.uk\n", "http://arxiv.org/abs/1602.07618v1\n", "\n", "Mathematical Foundations of Quantum Mechanics\n", "J Von Neumann\n", "\n", "Role of the Observer in Quantum Theory\n", "Abner Shimony\n", "Citation: American Journal of Physics 31, 755 (1963); doi: 10.1119/1.1969073\n", "\n", "The Strong Free Will Theorem\n", "John Conway∗ and Simon Kochen∗\n", "http://arXiv.org/abs/0807.3286v1\n", "\n", "THE FREE WILL THEOREM\n", "JOHN CONWAY AND SIMON KOCHEN\n", "http://arXiv.org/abs/quant-ph/0604079v1\n", "\n", "The “Free Will Theorem”\n", "of Conway & Kochen\n", "Nicholas Wheeler, Reed College Physics Department November 2009\n", "\n", "\n", "Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics\n", "[arXiv v.3]\n", "CALT 68-2928\n", "Charles T. Sebens and Sean M. Carroll Forthcoming in The British Journal for the Philosophy of Science\n", "arXiv:1405.7577v3 [quant-ph] 29 May 2015\n", "\n", "Many Worlds, the Born Rule, and Self-Locating Uncertainty1\n", "Sean M. Carroll∗ and Charles T. Sebens†\n", "arXiv:1405.7907v3 [gr-qc] 25 Mar 2015\n", "\n", "“Space is blue and birds fly through it”\n", "Carlo Rovelli\n", "http://arxiv.org/abs/1712.02894v5\n", "\n", "Stable Facts, Relative Facts\n", "Andrea Di Biagio1, ∗ and Carlo Rovelli2, 3, 4,\n", "http://arxiv.org/abs/2006.15543v1†\n", "\n", "The dynamics of difference\n", "Lee Smolin∗\n", "http://arxiv.org/abs/1712.04799v3\n", "\n", "Quantum Multiverses∗\n", "James B. Hartle†\n", "arXiv:1801.08631v1 [gr-qc] 25 Jan 201\n", "\n", "QUANTUM MECHANICS IN THE LIGHT OF QUANTUM COSMOLOGY\n", "Murray Gell-Mann\n", "California Institute of Technology Pasadena, CA 91125 USA\n", "and\n", "James B. Hartle\n", "Department of Physics University of California Santa Barbara, CA 93106 USA\n", "\n", "Decoherence and the Transition from Quantum\n", "to Classical—Revisited Wojciech H. Zurek\n", "\n", "The Representation of Nature in Contemporary Physics\n", "Author(s): Werner Heisenberg\n", "Source: Daedalus, Vol. 87, No. 3, Symbolism in Religion and Literature (Summer, 1958), pp. 95-108\n", "Published by: The MIT Press on behalf of American Academy of Arts & Sciences\n", "Stable URL: https://www.jstor.org/stable/20026454\n", "Accessed: 06-06-2020 06:30 UTC\n", "\n", "\n", "The Copenhagen Interpretation*\n", "HENRY PIERCE STAPP\n", "AJP Volume 40\n", "\n", "The Quantum of Action and the Description of Nature\n", "Originally published in German in Naturwissenschaft, vol 17, 1929. First published in English in 1934 by Cambridge University Press.\n", "\n", "RogerPenrose\n", "The Road to Reality\n", "\n", "From d-dimensional Quantum to d + 1-dimensional Classical Systems Timothy H. Hsieh1\n", "\n", "CONFERENCE ON THE\n", "FOUNDATIONS OF QUANTUM MECHANICS\n", "XAVIER UNIVERSITY PHYSICS DEPARTMENT\n", "3800 Victory Parkway Cincinnati, Ohio 45207 http://www.xavier.edu/physics_dept/\n", "\n", "John Archibald Wheeler: Law Without Law\n", "Pages 182–213 in:\n", "Quantum Theory and Measurement\n", "Edited by\n", "John Archibald Wheeler\n", "and\n", "Wojciech Hubert Zurek\n", "Princeton Series in Physics Princeton University Press, 1983\n", "\n", "INFORMATION, PHYSICS, QUANTUM: THE SEARCH FOR LINKS\n", "John Archibald Wheeler * t\n", "\n", "Eugene Wigner\n", "Remarks on the Mind-Body Question\n", "\n", "S. Sternberg, Group theory and physics\n", "\n", "Nine formulations of quantum mechanics\n", "Daniel F. Styer,a) Miranda S. Balkin, Kathryn M. Becker, Matthew R. Burns, Christopher E. Dudley, Scott T. Forth, Jeremy S. Gaumer, Mark A. Kramer, David C. Oertel, Leonard H. Park, Marie T. Rinkoski, Clait T. Smith,\n", "and Timothy D. Wotherspoon\n", "Department of Physics, Oberlin College, Oberlin, Ohio 44074\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Time\n", "\n", "Time-reversal formalism applied to maximal bipartite entanglement: Theoretical and experimental exploration\n", "M. Laforest∗, J. Baugh, and R. Laflamme\n", "http://arxiv.org/abs/quant-ph/0510048v2\n", "\n", "Time from quantum entanglement: an experimental illustration\n", "Ekaterina Moreva1, 2, Giorgio Brida1, Marco Gramegna1, Vittorio Giovannetti3, Lorenzo Maccone4, Marco Genovese1\n", "arXiv:1310.4691v1 [quant-ph] 17 Oct 201\n", "\n", "Space-Time Circuit-to-Hamiltonian Construction and Its Applications\n", "Nikolas P. Breuckmann and Barbara M. Terhal\n", "http://arxiv.org/abs/1311.6101v3\n", "\n", "Feynman’s Clock for open quantum systems\n", "David G. Tempel ‡ and Ala ́n Aspuru-Guzik§\n", "arXiv:1406.5631v1 [quant-ph] 21 Jun 2014\n", "\n", "The Feynman-Kitaev computer’s clock: bias, gaps, idling and pulse tuning\n", "Libor Caha∗1, Zeph Landau2, and Daniel Nagaj†3\n", "arXiv:1712.07395v2 [quant-ph] 4 Jul 2018\n", "\n", "Quantum Time\n", "Vittorio Giovannetti,1 Seth Lloyd2 , Lorenzo Maccone3\n", "http://arxiv.org/abs/1504.04215v3\n", "\n", "Is Time’s Arrow Perspectival?\n", "Carlo Rovelli\n", "arXiv:1505.01125v2 [physics.hist-ph] 10 May 2015\n", "\n", "Evolution without evolution, and without ambiguities\n", "C. Marlettoa and V. Vedrala,b\n", "http://arxiv.org/abs/1610.04773v2\n", "\n", "Temporal Observables and Entangled Histories\n", "Jordan S. Cotler1 and Frank A. Wilczek2, 3, 4, 5\n", "arXiv:1702.05838v1 [quant-ph] 20 Feb 2017\n", "\n", "Quantizing time: Interacting clocks and systems\n", "Alexander R. H. Smith1 and Mehdi Ahmadi2\n", "arXiv:1712.00081v3 [quant-ph] 2 Jul 201\n", "\n", "The Trinity of Relational Quantum Dynamics\n", "Philipp A. Ho ̈hn,1, ∗ Alexander R. H. Smith,2, † and Maximilian P. E. Lock3\n", "http://arxiv.org/abs/1912.00033v1\n", "\n", "Evolution without evolution: Dynamics described by stationary observables\n", "Page and Wooters June 15, 1983\n", "\n", "Time in Quantum Theory* H. D. Zeh\n", "www.zeh-hd.de\n", "Compendium of Quantum Physicis - Concepts, Experiments, History and Philosophy, ed. by F. Weinert, K. Hentschel, D. Greenberger, B. Falkenburg (Springer 2008) – version of October 2007\n", "\n", "\n", "Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators\n", "Ashmeet Singh∗ and Sean M. Carroll†\n", "arXiv:1806.10134v2 [quant-ph] 23 Apr 2020" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Coherent States\n", "\n", "A pedestrian introduction to coherent and squeezed states\n", "Bijan Bagchi1, Rupamanjari Ghosh2 and Avinash Khare3\n", "http://arxiv.org/abs/2004.08829v3\n", "\n", "The growth and zeros of Bargmann functions\n", "To cite this article: A Vourdas 2010 J. Phys.: Conf. Ser. 213 012001\n", "\n", "Coherent States in Quantum Physics\n", "John-Pierre Gazeau\n", "\n", "The Continuous Transition from Micro to Macro-Mechanics\n", "Schrodinger\n", "Die Naturwissenschaften 28 p 664-666 1926\n", "\n", "SIGNAL ANALYSIS AND QUANTUM FORMALISM: QUANTIZATIONS WITH NO PLANCK CONSTANT\n", "JEAN PIERRE GAZEAUA AND CÉLESTIN HABONIMANAB\n", "http://arxiv.org/abs/2001.04916v1\n", "\n", "COVARIANT INTEGRAL QUANTIZATION OF THE UNIT DISK\n", "M. A. DEL OLMOA AND J.P. GAZEAUB,C\n", "http://arxiv.org/abs/1810.10399v1\n", "\n", "FROM CLASSICAL TO QUANTUM MODELS: THE REGULARISING RÔLE OF INTEGRALS, SYMMETRY AND PROBABILITIES\n", "JEAN-PIERRE GAZEAUA,B\n", "arXiv:1801.02604v2 [quant-ph] 10 Apr 2018\n", "\n", "A baby Majorana quantum formalism\n", "Herv ́e Bergeron\n", "Univ Paris-Sud, ISMO, UMR 8214, 91405 Orsay, France E-mail: herve.bergeron@u-psud.fr\n", "Evaldo M. F. Curado\n", "Centro Brasileiro de Pesquisas Fisicas and Instituto Nacional de Ciˆencia e Tecnologia - Sistemas Complexos\n", "Rua Xavier Sigaud 150, 22290-180 - Rio de Janeiro, RJ, Brazil\n", "E-mail: evaldo@cbpf.br\n", "Jean-Pierre Gazeau\n", "APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris Cit ́e, 75205 Paris, France E-mail: gazeau@apc.in2p3.fr\n", "Ligia M.C.S. Rodrigues\n", "Centro Brasileiro de Pesquisas Fisicas Rua Xavier Sigaud 150, 22290-180 - Rio de Janeiro, RJ, Brazil\n", "E-mail: ligia@cbpf.br 01 June 2017\n", "arXiv:1701.04026v3 [quant-ph] 3 Jun 2017\n", "\n", "POVM QUANTIZATION\n", "JEAN PIERRE GAZEAU AND BARBARA HELLER\n", "http://arxiv.org/abs/1408.6090v1\n", "\n", "INTEGRAL QUANTIZATIONS WITH TWO BASIC EXAMPLES\n", "HERVE BERGERON AND JEAN PIERRE GAZEAU\n", "http://arxiv.org/abs/1308.2348v2\n", "\n", "Action-angle coherent states for quantum systems with cylindric phase space\n", "Isiaka Aremua, Jean Pierre Gazeau2∗, and Mahouton Norbert Hounkonnou1†\n", "http://arxiv.org/abs/1111.4908v2\n", "\n", "Complex and real Hermite polynomials and related quantizations\n", "Nicolae Cotfas1, Jean Pierre Gazeau2, and Katarzyna G ́orska3\n", "http://arxiv.org/abs/1001.3248v1\n", "\n", "Coherent States and Bayesian Duality\n", "S. Twareque Ali 1 J.-P. Gazeau 2 B. Heller 3\n", "http://arxiv.org/abs/0803.2269v1\n", "\n", "Finite tight frames and some applications Nicolae Cotfas1 and Jean Pierre Gazeau2\n", "http://arxiv.org/abs/0803.0077v4\n", "\n", "Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval\n", "J.-P. Gazeau, T. Garidi, E. Huguet, M. Lachieze Rey, and J. Renaud\n", "http://arxiv.org/abs/quant-ph/0303090v1\n", "\n", "Quantization of the sphere with coherent states\n", "preprintAPS/CS\n", "Marc Lachieze Rey1,2,\n", "Jean-Pierre Gazeau1,3, Eric Huguet1,4, Jacques Renaud1,5 and Tarik Garidi1,6,\n", "1- F ́ed ́eration de Recherches Astroparticules et Cosmologie Boite 7020, Universit ́e Paris 7 Denis Diderot, F-75251 Paris Cedex 05, France\n", "2 Service d’Astrophysique, C.E. Saclay,\n", "91191 Gif sur Yvette cedex, France, marclr@cea.fr\n", "3 gazeau@ccr.jussieu.fr\n", "4 eric.huguet@obspm.fr\n", "5 renaud@ccr.jussieu.fr 6 garidi@ccr.jussieu.fr\n", "http://arxiv.org/abs/math-ph/0302056v1\n", "\n", "Coherent States and Modified de Broglie-Bohm Complex Quantum Trajectories\n", "Moncy V. John · Kiran Mathew\n", "arXiv:1104.3197v4 [quant-ph] 26 Sep 2013\n", "\n", "Joint ICTP-TWAS School on Coherent State Transforms, Time- Frequency and Time-Scale Analysis, Applications\n", "2 - 20 June 2014\n", "Coherent states, POVM, quantization and measurement\n", "J-P. Gazeau\n", "U. Paris 7 France\n", "\n", "Beyond Coherent State Quantization\n", "Laure Gouba1\n", "arXiv:1909.03928v1 [math-ph] 9 Sep 2019\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Games\n", "\n", "PLAYING PRISONER’S DILEMMA WITH QUANTUM RULES ∗\n", "JIANGFENG DU\n", "Department of Modern Physics, University of Science and Technology of China, Hefei, 230027, People’s Republic of China\n", "and\n", "Department of Physics,\n", "National University of Singapore, Lower Fent Ridge, Singapore 119260\n", "djf@ustc.edu.cn\n", "XIAODONG XU, HUI LI, XIANYI ZHOU, and RONGDIAN HAN\n", "Department of Modern Physics, University of Science and Technology of China, Hefei, 230027, People’s Republic of China\n", "http://arXiv.org/abs/quant-ph/0301042v2\n", "\n", "Towards compositional game theory\n", "Julian Hedges" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Geometric Quantum Mechanics\n", "\n", "Geometrical Formulation of Quantum Mechanics\n", "Abhay Ashtekar1,2 and Troy A. Schilling1,3\n", "http://arXiv.org/abs/gr-qc/9706069v1\n", "\n", "MATHEMATICAL FOUNDATIONS OF GEOMETRIC QUANTIZATION\n", "Arturo Echeverr ́ia-Enr ́iquez, Miguel C. Mun ̃oz-Lecanda∗, Narciso Roma ́n-Roy†,\n", "Carles Victoria-Monge‡\n", "http://arXiv.org/abs/math-ph/9904008v1\n", "\n", "Geometric Quantum Mechanics\n", "B y Dorje C. Brody1 and Lane P. Hughston2\n", "http://arXiv.org/abs/quant-ph/9906086v2\n", "\n", "https://johncarlosbaez.wordpress.com/2018/12/01/geometric-quantization-part-1/\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Oscillators\n", "\n", "Jordan-Schwinger map, 3D harmonic oscillator constants of motion, and classical and quantum parameters characterizing electromagnetic wave polarization\n", "R D Mota1∗, M A Xicot ́encatl1 and V D Granados2\n", "http://arXiv.org/abs/0801.4744v1\n", "\n", "Quantization of the Harmonic Oscillator – Ariadne’s Thread in Quantization\n", "\n", "SU(N) Coherent States Manu Mathur1 and H. S. Mani 2\n", "http://arXiv.org/abs/quant-ph/0206005v1\n", "\n", "Irreducible SU(3) Schwinger Bosons\n", "Ramesh Anishetty,Manu Mathur,Indrakshi Raychowdhury\n", "JOURNAL OF MATHEMATICAL PHYSICS 50, 053503 2009\n", "\n", "The Schwinger Representation of a Group: Concept and Applications\n", "S. Chaturvedi\n", "School of Physics, University of Hyderabad, Hyderabad 500 046, India - scsp@uohyd.ernet.in\n", "G. Marmo\n", "Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and INFN, Via Cintia, 80126 Napoli, Italy - giuseppe.marmo@na.infn.it\n", "N. Mukunda\n", "Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India - nmukunda@cts.iisc.ernet.in\n", "R.Simon\n", "The Institute of Mathematical Sciences, C. I. T. Campus, Chennai 600 113, India - simon@imsc.res.in\n", "A. Zampini\n", "Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and INFN, Via Cintia, 80126 Napoli, Italy - alessandro.zampini@na.infn.it\n", "http://arXiv.org/abs/quant-ph/0505012v1\n", "\n", "An oscillator-representation of elementary particles\n", "Y Sobouti\n", "Institute for Advanced Studies in Basic Sciences (IASBS) No. 444, Prof. Sobouti Blvd., Zanjan 45137-66731, Iran" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other\n", "\n", " From: Logical Empiricism: Historical and Contemporary Perspectives, Paolo Parrini, Wesley C. Salmon, and Merrilee H. Salmon (eds.). Pittsburgh, PA: University of Pittsburgh Press 2003, 233-262. Repr. in Michael Heidelberger, Nature from Within: Gustav Theodor Fechner and His Psychophysical Worldview. Pittsburgh, PA: University of Pittsburgh Press, chapter five.\n", "The Mind-Body Problem in the Origin\n", "of Logical Empiricism:\n", "Herbert Feigl and Psychophysical Parallelism\n", "–––––––––\n", "MICHAEL HEIDELBERGER\n", "Universität Tübingen\n", "\n", "On Psychology and Metaphysics\n", "Philosophical Fragments of Bernard Riemann\n", "\n", "Transfite Life\n", "Oskar Goldberg and the Vitalist Imagination\n", "\n", "Quantum Eraser Using A Modified Stern-Gerlach Setup\n", "Tabish Qureshi∗) and Zini Rahman∗∗) Centre for Theoretical Physics\n", "Jamia Millia Islamia, New Delhi-110025, India.\n", "http://arxiv.org/abs/quant-ph/0501010v3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loops\n", "\n", "Quantum tetrahedron and its classical limit\n", "Daniel R. Terno∗\n", "http://arxiv.org/abs/0808.2533v2\n", "\n", "\n", "The Fine Structure of SU(2) Intertwiners from U(N) Representations Laurent Freidel1 and Etera R. Livine2\n", "http://arxiv.org/abs/0911.3553v1\n", "\n", "Twisted geometries:\n", "A geometric parametrisation of SU(2) phase space\n", "Laurent Freidela and Simone Spezialeb∗\n", "http://arxiv.org/abs/1001.2748v3\n", "\n", "Quantum Tetrahedra\n", "Mauro Carfora\n", "Annalisa Marzuoli\n", "Mario Rasetti\n", "http://arxiv.org/abs/1001.4402v1\n", "\n", "U(N) Coherent States for Loop Quantum Gravity Laurent Freidel1 and Etera R. Livine2\n", "http://arxiv.org/abs/1005.2090v1\n", "\n", "From twistors to twisted geometries\n", "Laurent Freidela and Simone Spezialeb∗\n", "http://arxiv.org/abs/1006.0199v1\n", "\n", "Dynamics for a 2-vertex Quantum Gravity Model\n", "Enrique F. Borja,1, 2 Jacobo D ́ıaz-Polo,3 In ̃aki Garay,1 and Etera R. Livine4\n", "http://arxiv.org/abs/1006.2451v2\n", "\n", "Polyhedra in loop quantum gravity\n", "Eugenio Bianchia, Pietro Don ́aa,b and Simone Spezialea\n", "http://arxiv.org/abs/1009.3402v2\n", "\n", "U(N) tools for Loop Quantum Gravity: The Return of the Spinor\n", "Enrique F. Borja,1, 2 Laurent Freidel,3 In ̃aki Garay,1 and Etera R. Livine4\n", "http://arxiv.org/abs/1010.5451v1\n", "\n", "U(N) invariant dynamics for a simplified loop quantum gravity model\n", "Enrique F. Borja\n", "Institute for Theoretical Physics III, University of Erlangen-Nu ̈rnberg, Staudtstraße 7, D-91058 Erlangen (Germany).\n", "Departamento de F ́ısica Te ́orica and IFIC, Centro Mixto Universidad de Valencia-CSIC. Facultad de F ́ısica, Universidad de Valencia, Burjassot-46100, Valencia (Spain).\n", "E-mail: efborja@theorie3.physik.uni-erlangen.de Jacobo D ́ıaz-Polo\n", "Institute for Gravitation and the Cosmos & Physics Department, Penn State, University Park, PA 16802-6300, U.S.A.\n", "E-mail: jacobo@gravity.psu.edu In ̃aki Garay\n", "Institute for Theoretical Physics III, University of Erlangen-Nu ̈rnberg, Staudtstraße 7, D-91058 Erlangen (Germany).\n", "E-mail: igael@theorie3.physik.uni-erlangen.de Etera R. Livine\n", "Laboratoire de Physique, ENS Lyon, CNRS-UMR 5672, 46 All ́ee d’Italie, Lyon 69007, France. E-mail: etera.livine@ens-lyon.fr\n", "http://arxiv.org/abs/1012.3832v1\n", "\n", "Spinor Representation for Loop Quantum Gravity\n", "Etera Livine, Johannes Tambornino\n", "http://arxiv.org/abs/1105.3385v2\n", "\n", "U(N) and holomorphic methods for LQG and Spin Foams\n", "Enrique F. Borja\n", "Institute for Theoretical Physics III, University of Erlangen-Nürnberg,\n", "Staudtstraße 7, D-91058 Erlangen (Germany).\n", "Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC. Facultad de Física, Universidad de Valencia, Burjassot-46100, Valencia (Spain). E-mail: efborja@theorie3.physik.uni-erlangen.de\n", "Jacobo Diaz-Polo\n", "Department of Physics and Astronomy, Louisiana State University Baton Rouge, LA, 70803-4001.\n", "E-mail: jacobo@phys.lsu.edu\n", "Iñaki Garay\n", "Institute for Theoretical Physics III, University of Erlangen-Nürnberg, Staudtstraße 7, D-91058 Erlangen (Germany).\n", "E-mail: igael@theorie3.physik.uni-erlangen.de\n", "http://arxiv.org/abs/1110.4578v1\n", "\n", "Dynamics for a simple graph using the U(N) framework for loop quantum gravity\n", "Enrique F. Borja1,2, Jacobo D ́ıaz-Polo3, Laurent Freidel4, In ̃aki Garay1, Etera R. Livine4,5\n", "http://arxiv.org/abs/1110.6017v1\n", "\n", "\n", "Generating Functions for Coherent Intertwiners\n", "Valentin Bonzom1, ∗ and Etera R. Livine2, 1, †\n", "http://arxiv.org/abs/1205.5677v1\n", "\n", "Holonomy Operator and Quantization Ambiguities on Spinor Space\n", "Etera R. Livine, Johannes Tambornino1\n", "http://arxiv.org/abs/1302.7142v2\n", "\n", "Deformations of Polyhedra and Polygons by the Unitary Group\n", "Etera R. Livine1, 2 , ∗\n", "http://arxiv.org/abs/1307.2719v1\n", "\n", "Spinning geometry = Twisted geometry\n", "Laurent Freidel1, ∗ and Jonathan Ziprick1, 2, †\n", "arXiv:1308.0040v2 [gr-qc] 23 Jan 2014\n", "\n", "Polyhedra in spacetime from null vectors\n", "Yasha Neiman∗\n", "http://arxiv.org/abs/1308.1982v2\n", "\n", "SO∗(2N) coherent states for loop quantum gravity\n", "Florian Girelli1, ∗ and Giuseppe Sellaroli1, †\n", "arXiv:1701.07519v1 [math-ph] 25 Jan 2017\n", "\n", "An algorithm to reconstruct convex polyhedra from their face normals and areas\n", "Giuseppe Sellaroli\n", "\n", "rXiv:1712.00825v1 [cs.CG] 3 Dec 2017\n", "\n", "Quantum Spacetime on a Quantum Simulator\n", "Keren Li,1, 2 , ∗ Youning Li,1, 2 , ∗ Muxin Han,3, 4 , ∗ Sirui Lu,1 Jie Zhou,5 Dong Ruan,1 Guilu Long,1 YidunWan,6,7,8,† DaweiLu,8,2,‡ BeiZeng,9,2,10,8,§ andRaymondLaflamme2,5,10\n", "arXiv:1712.08711v1 [quant-ph] 23 Dec 2017\n", "\n", "Gluing polyhedra with entanglement in loop quantum gravity\n", "Bekir Bayta ̧s,a Eugenio Bianchi,a Nelson Yokomizo b\n", "arXiv:1805.05856v2 [gr-qc] 3 Jul 2018\n", "\n", "Spin Foam Vertex Amplitudes on Quantum Computer - Preliminary Results\n", "Jakub Mielczareka\n", "rXiv:1810.07100v2 [gr-qc] 18 Jun 2019\n", "\n", "Gauge fields and quantum entanglement\n", "Jakub Mielczarek1 , ∗ and Tomasz Trze ́sniewski1\n", "arXiv:1911.10208v1 [hep-th] 22 Nov 2019\n", "\n", "Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity\n", "Ilkka Mäkinen\n", "arXiv:1910.06821v2 [gr-qc] 18 Oct 2019\n", "\n", "Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators\n", "Florian Girelli∗, Etera R. Livine†\n", "http://arXiv.org/abs/gr-qc/0501075v2\n", "\n", "Quantum Gravity\n", "Carlo Rovelli\n", "\n", "Covariant Loop Quantum Gravity\n", "An elementary introduction to Quantum Gravity and Spinfoam Theory\n", "CARLO ROVELLI AND FRANCESCA VIDOTTO\n", "\n", "Carlo Rovelli. A new look at loop quantum gravity. Classical and Quantum Gravity, IOP Publishing, 2011, 28 (11), pp.114005. 10.1088/0264-9381/28/11/114005 . hal-00705156" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neural Networks\n", "\n", "Clebsch–Gordan Nets: a Fully Fourier Space Spherical Convolutional Neural Network\n", "Risi Kondor1∗ Zhen Lin1∗ Shubhendu Trivedi2∗\n", "arXiv:1806.09231v2 [stat.ML] 10 Nov 2018\n", "\n", "The Complexity of Explaining Neural Networks Through (group) Invariants\n", "Danielle Ensign\n", "School of Computing, University of Utah\n", "Scott Neville\n", "School of Computing, University of Utah\n", "Arnab Paul\n", "Intel Labs, Oregon\n", "Suresh Venkatasubramanian\n", "\n", "Machine learning-based classification of vector vortex beams\n", "Taira Giordani,1 Alessia Suprano,1 Emanuele Polino,1 Francesca Acanfora,1 Luca Innocenti,2 Alessandro Ferraro,2 Mauro Paternostro,2 Nicolo` Spagnolo,1 and Fabio Sciarrino1, 3\n", "rXiv:2005.07949v1 [quant-ph] 16 May 2020" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Polarization\n", "\n", "Direct discrimination of structured light by humans\n", "Dusan Sarenaca,1, Connor Kapahia,b , Andrew E. Silvac, David G. Corya,d, Ivar Taminiaua, Benjamin Thompsonc , and Dmitry A. Pushina,b\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SLOCC / Ellipsoids\n", "\n", "Quantum Steering Ellipsoids\n", "Sania Jevtic,1,2 Matthew Pusey,3,2 David Jennings,2 and Terry Rudolph2\n", "\n", "rXiv:1303.4724v2 [quant-ph] 9 Jul 2014\n", "\n", "Quantum steering ellipsoids, extremal physical states and monogamy\n", "Antony Milne1, Sania Jevtic2, David Jennings1, Howard Wiseman3 and Terry Rudolph1\n", "rXiv:1403.0418v3 [quant-ph] 20 Mar 2015\n", "\n", "Geometric representation of two-qubit entanglement witnesses\n", "Antony Milne,∗ David Jennings, and Terry Rudolph\n", "arXiv:1407.8440v2 [quant-ph] 10 Jul 2015\n", "\n", "Einstein-Podolsky-Rosen steering and the steering ellipsoid\n", "Sania Jevtic,1 Michael J. W. Hall,2 Malcolm R. Anderson,3 Marcin Zwierz,4, 2 and Howard M. Wiseman2\n", "arXiv:1411.1517v2 [quant-ph] 17 Mar 2015\n", "\n", "Steering Bell-diagonal states\n", "Quan Quan1, Huangjun Zhu2,3*, Si-Yuan Liu1‡, Shao-Ming Fei4,5, Heng Fan6,7,1, and\n", "Wen-Li Yang1,8\n", "http://arxiv.org/abs/1601.00113v2\n", "\n", "Local filtering operations on two qubits\n", "Frank Verstraete, Jeroen Dehaene, Bart De Moor∗\n", "Katholieke Universiteit Leuven, Department of Electrical Engineering, Research Group SISTA Kard. Mercierlaan 94, B-3001 Leuven, Belgium\n", "(February 1, 2008)\n", "http://arXiv.org/abs/quant-ph/0011111v1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Sphere\n", "\n", "Hopf Fibration and Quantum Entanglement in Qubit Systems\n", "P. A. Pinilla∗ and J. R. Luthra†\n", "http://arxiv.org/abs/0904.4925v1\n", "\n", "Physics of the Lorentz Group\n", "Sibel Ba ̧skal\n", "Department of Physics, Middle East Technical University, 06800 Ankara, Turkey\n", "Young S Kim\n", "Center for Fundamental Physics, University of Maryland, College Park, Maryland, MD 20742, USA\n", "Marilyn E Noz\n", "Department of Radiology, New York University, New York, NY 10016, USA\n", "\n", "An introduction to spinors\n", "Andrew M. Steane\n", "http://arxiv.org/abs/1312.3824v1\n", "\n", "Two and Three-Qubits Geometry, Quaternionic and Octonionic Conformal Maps, and Intertwining Stereographic Projection\n", "G. Najarbashi a ∗,B. Seifi a †, S. Mirzaei a ‡\n", "arXiv:1501.06013v2 [quant-ph] 12 Nov 2015\n", "\n", "From the Lorentz Group to the Celestial Sphere\n", "Blagoje Oblak∗\n", "arXiv:1508.00920v3 [math-ph] 4 May 2018\n", "\n", "The conformal transformation of the night sky E Minguzzi\n", "http://arxiv.org/abs/1606.07665v2\n", "\n", "TWO AND THREE QUBITS GEOMETRY AND HOPF FIBRATIONS\n", "REMY MOSSERI\n", "http://arxiv.org/abs/quant-ph/0310053v1\n", "\n", "The Geometry of The Night Sky or, An Ape Pointing at The Stars\n", "Aaron Fenyes\n", "\n", "Spin Geometry\n", "H. BLAINE LAWSON, JR. and MARIE-LOUISE MICHELSOH\n", "\n", "A Child’s Guide to Spinors\n", "William O. Straub Pasadena, California 91104 December 31, 2016\n", "\n", "Lorentz Transformation, Poincaré Vectors and Poincaré Sphere in Various Branches of Physics\n", "Tiberiu Tudor 1,2\n", "\n", "Mathematical Apparatus of The Theory of Angular MOmentum Yutsis Levinson Vanagas\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spin Networks\n", "\n", "A SPIN NETWORK PRIMER\n", "SETH A. MAJOR\n", "http://arXiv.org/abs/gr-qc/9905020v2\n", "\n", "ANGULAR MOMENTUM: AN APPROACH TO COMBINATORIAL SPACE-TIME\n", "ROGER PENROSE\n", "\n", "Roger Penrose\n", "On the Nature of Quantum Geometry\n", "\n", "Angular momentum coupling: spin networks and their evaluation by integration over SU(2).\n", "N. G. Jones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spinor Helicity Variables\n", "\n", "TASI Lectures on Scattering Amplitudes\n", "Clifford Cheung\n", "http://arxiv.org/abs/1708.03872v1\n", "\n", "Scattering Amplitudes For All Masses and Spins Nima Arkani-Hamed,1 Tzu-Chen Huang2 Yu-tin Huang,3,4\n", "arXiv:1709.04891v1 [hep-th] 14 Sep 2017" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SYK and Majorana Fermions\n", "\n", "Braiding With Majorana Fermions\n", "Louis H. Kauffmana and Samuel J. Lomonaco Jr.2b\n", "http://arxiv.org/abs/1603.07827v1\n", "\n", "Majorana Fermions and Representations of the Braid Group\n", "Louis H. Kauffman\n", "http://arxiv.org/abs/1710.04650v2\n", "\n", "Operator growth in the SYK model\n", "Daniel A. Roberts,ab Douglas Stanford,a and Alexandre Streichercd\n", "arXiv:1802.02633v1 [hep-th] 7 Feb 2018\n", "\n", "An introduction to the SYK model\n", "Vladimir Rosenhaus\n", "arXiv:1807.03334v1 [hep-th] 9 Jul 2018\n", "\n", "A Traversable Wormhole Teleportation Protocol in the SYK Model\n", "Ping Gao1 and Daniel Louis Jafferis2\n", "arXiv:1911.07416v2 [hep-th] 20 Nov 2019\n", "\n", "SYK wormhole formation in real time\n", "Juan Maldacena1 and Alexey Milekhin2\n", "arXiv:1912.03276v1 [hep-th] 6 Dec 2019\n", "\n", "Size of bulk fermions in the SYK model\n", "Yuri D. Lensky,a Xiao-Liang Qia and Pengfei Zhangb\n", "arXiv:2002.01961v1 [hep-th] 5 Feb 2020\n", "\n", "The Fermionic canonical commutation relations and the Jordan-Wigner transform\n", "Michael A. Nielsen1, ∗" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wormholes\n", "\n", "\n", "Computational Complexity and Black Hole Horizons\n", "Leonard Susskind\n", "arXiv:1402.5674v2 [hep-th] 25 Feb 2014\n", "\n", "Entanglement is not Enough Leonard Susskind\n", "arXiv:1411.0690v1 [hep-th] 3 Nov 2014\n", "\n", "Copenhagen vs Everett, Teleportation, and ER=EPR\n", "Leonard Susskind\n", "arXiv:1604.02589v2 [hep-th] 23 Apr 2016\n", "\n", "Teleportation Through the Wormhole\n", "Leonard Susskind and Ying Zhao\n", "arXiv:1707.04354v1 [hep-th] 13 Jul 2017\n", "\n", "Dear Qubitzers, GR=QM.\n", "Leonard Susskind\n", "arXiv:1708.03040v1 [hep-th] 10 Aug 2017\n", "\n", "Why do Things Fall?\n", "Leonard Susskind\n", "arXiv:1802.01198v2 [hep-th] 22 Apr 2018\n", "\n", "Operator scrambling and quantum chaos\n", "Xiao Chen1 , ∗ and Tianci Zhou2 , †\n", "arXiv:1804.08655v1 [cond-mat.str-el] 23 Apr 2018\n", "\n", "Three Lectures on Complexity and Black Holes Leonard Susskind\n", "arXiv:1810.11563v1 [hep-th] 27 Oct 2018\n", "\n", "Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK\n", "Xiao-Liang Qia and Alexandre Streicherab\n", "arXiv:1810.11958v3 [hep-th] 15 Nov 2019\n", "\n", "Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes\n", "Adam R. Brown,1, 2 Hrant Gharibyan,2, 3 Stefan Leichenauer,1 Henry W. Lin,1, 4 Sepehr Nezami,1, 2 Grant Salton,3, 2 Leonard Susskind,1, 2 Brian Swingle,5 and Michael Walter6\n", "arXiv:1911.06314v1 [quant-ph] 14 Nov 2019\n", "\n", "Leonard Susskind\n", "World as Hologram\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tensor Networks and Error Correcting Codes\n", "\n", "Quantum error-correction in black holes\n", "Beni Yoshida (Perimeter Institute)\n", "\n", "Algorithms for entanglement renormalization\n", "G. Evenbly1 and G. Vidal1\n", "arXiv:0707.1454v4 [cond-mat.str-el] 13 Apr 2009\n", "\n", "Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence\n", "arXiv:1503.06237v2 [hep-th] 22 Jul 2015\n", "\n", "Classical Holographic Codes\n", "Enrico M. Brehma and Benedikt Richtera,b,c\n", "arXiv:1609.03560v3 [hep-th] 8 Sep 2017\n", "\n", "De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity\n", "Ning Bao,1, 2, ∗ ChunJun Cao,1, † Sean M. Carroll,1, ‡ and Aidan Chatwin-Davies1, §\n", "arXiv:1709.03513v2 [hep-th] 1 Feb 2018\n", "\n", "A PEDAGOGICAL OVERVIEW ON 2D AND 3D TORIC CODES AND THE ORIGIN OF THEIR TOPOLOGICAL ORDERS\n", "M. F. ARAUJO DE RESENDE\n", "arXiv:1712.01258v2 [quant-ph] 6 Sep 2019\n", "\n", "Quantum Tensor Networks in a Nutshell\n", "Jacob Biamonte1, 2, ∗ and Ville Bergholm1, †\n", "rXiv:1708.00006v1 [quant-ph] 31 Jul 2017\n", "\n", "Learning Unitaries by Gradient Descent\n", "Bobak Toussi Kiani,1 Seth Lloyd,1 and Reevu Maity2\n", "arXiv:2001.11897v3 [quant-ph] 18 Feb 2020\n", "\n", "TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models\n", "Martin Ganahl,1 Ashley Milsted,1 Stefan Leichenauer,2 Jack Hidary,2 and Guifre Vidal1, 2\n", "arXiv:1906.12030v1 [physics.comp-ph] 28 Jun 2019\n", "\n", "TensorNetwork on TensorFlow:\n", "A Spin Chain Application Using Tree Tensor Networks\n", "Ashley Milsted,1 Martin Ganahl,1 Stefan Leichenauer,2 Jack Hidary,2 and Guifre Vidal1, 2\n", "arXiv:1905.01331v1 [cond-mat.str-el] 3 May 2019\n", "\n", "Humanly traversable wormholes\n", "Juan Maldacena1 and Alexey Milekhin2\n", "arXiv:2008.06618v1 [hep-th] 15 Aug 2020\n", "\n", "TASI Lectures on the Emergence of Bulk Physics in AdS/CFT\n", "Daniel Harlow∗\n", "PoS(TASI2017)002" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Symplectic Spaces and Non-inertial Frames\n", "\n", "Horizon temperature without space-time1\n", "Michele Arzanoa,b\n", "http://arxiv.org/abs/2003.14083v1\n", "\n", "Generating entangled fermions by accelerated measurements on the vacuum\n", "David C. M. Ostapchuk∗ and Robert B. Mann†\n", "arXiv:0903.0219v1 [quant-ph] 2 Mar 2009\n", "\n", "Gaussian Quantum Information\n", "Christian Weedbrook\n", "Center for Quantum Information and Quantum Control, Department of Electrical and Computer Engineering and Department of Physics, University of Toronto, Toronto, M5S 3G4, Canada and\n", "Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA\n", "Stefano Pirandola\n", "Department of Computer Science, University of York, Deramore Lane, York YO10 5GH, United Kingdom\n", "Rau ́l Garc ́ıa-Patro ́n\n", "Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA and Max-Planck-Institut fu ̈ r Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, D-85748, Germany\n", "Nicolas J. Cerf\n", "Quantum Information and Communication, Ecole Polytechnique, Universite ́ Libre de Bruxelles, 1050 Brussels, Belgium and\n", "Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA\n", "Timothy C. Ralph\n", "Centre for Quantum Computation and Communication Technology, Department of Physics, University of Queensland, Brisbane, Queensland 4072, Australia\n", "Jeffrey H. Shapiro\n", "Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA\n", "Seth Lloyd\n", "Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA and Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge MA 02139, USA\n", "http://arxiv.org/abs/1110.3234v1\n", "\n", "Unitary Inequivalent Representations and Quantum Physics\n", "Arman Stepanian∗, Mahsa Kohandel†\n", "rXiv:1312.3239v7 [quant-ph] 3 Feb 2017\n", "\n", "Bosonic quadratic Hamiltonians\n", "Jan Dereziński\n", "http://arxiv.org/abs/1608.03289v2\n", "\n", "From Hamiltonians to complex symplectic transformations\n", "Gianfranco Cariolaro and Gianfranco Pierobon∗\n", "http://arxiv.org/abs/1704.02008v1\n", "\n", "Accelerated quantum walk, two-particle entanglement generation and localization\n", "Shivani Singh,1, 2 Radhakrishnan Balu,3, 4 Raymond Laflamme,5, 6 and C. M. Chandrashekar1, 2 , ∗\n", "rXiv:1810.02754v2 [quant-ph] 9 Jul 2019\n", "\n", "Alice falls into a black hole: Entanglement in non-inertial frames\n", "I. Fuentes-Schuller∗⋄‡, R. B. Mann†‡\n", "http://arxiv.org/abs/quant-ph/0410172v3\n", "\n", "\n", "THE SYMPLECTIZATION OF SCIENCE\n", "Symplectic Geometry Lies at the Very Foundations of Physics and Mathematics\n", "\n", "Mark J. Gotay\n", "Department of Mathematics University of Hawai‘i 2565 The Mall Honolulu, HI 96822 USA\n", "James A.Isenberg\n", "Institute of Theoretical Science and Department of Mathematics University of Oregon\n", "Eugene, OR 97403-5203 USA\n", "\n", "\n", "Quantum Communication in Rindler Spacetime\n", "Kamil Bra ́dler1, Patrick Hayden1,2, and Prakash Panangaden1\n", "\n", "\n", "Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir\n", "M. J. Woolley1 and A. A. Clerk2\n", "\n", "How to Generate Random\n", "Matrices from the Classical\n", "Compact Groups\n", "Francesco Mezzadri\n", "\n", "Entanglement of Dirac field modes for uniformly accelerated observers\n", "Gelo Noel M. Tabia1, ∗\n", "\n", "Canonical Transformations in\n", "Quantum Field Theory\n", "Lecture notes by M. Blasone\n", "\n", "Entanglement between the future and past in the quantum vacuum\n", "S. Jay Olson∗ and Timothy C. Ralph\n", "arXiv:1003.0720v1 [quant-ph] 3 Mar 2010\n", "\n", "\n", "Squeezed light\n", "A. I. Lvovsky\n", "arXiv:1401.4118v2 [quant-ph] 28 Jul 2016\n", "\n", "Continuous variable quantum information: Gaussian states and beyond\n", "Gerardo Adesso, Sammy Ragy, and Antony R. Lee \n", "arXiv:1401.4679v3 [quant-ph] 14 Mar 2014\n", "\n", "General Multimode Squeezed States\n", "Gan Qin1,2∗, Ke-lin Wang2, and Tong-zhong Li1,3\n", "http://arXiv.org/abs/quant-ph/0109020v1\n", "\n", "HOLSTEIN-PRIMAKOFF/BOGOLIUBOV TRANSFORMATIONS AND THE MULTIBOSON SYSTEM\n", "Michael Martin Nieto1\n", "Theoretical Division, Los Alamos National Laboratory University of California\n", "Los Alamos, New Mexico 87545, U.S.A.\n", "and\n", "Abteilung fu ̈r Quantenphysik\n", "Universit ̈at Ulm\n", "D-89069 Ulm, GERMANY\n", "D. Rodney Truax2 Department of Chemistry University of Calgary Calgary, Alberta T2N 1N4, Canada\n", "http://arXiv.org/abs/quant-ph/9506025v2\n", "\n", "\n", "8 The Unruh effect\n", "Mukhanov and Winitzki\n", "\n", "Degradation of entanglement between two accelerated parties: Bell states under the Unruh effect\n", "Benedikt Richter1,2 and Yasser Omar1,2,3\n", "10.1103/PhysRevA.92.022334\n", "\n", "Quantum steering between two accelerated parties\n", "Shu-Min Wu, Zuo-Chen Li and Hao-Sheng Zeng\n", "Laser Phys. Lett. 17 (2020) 035202 (5pp) https://doi.org/10.1088/1612-202X/ab6d66\n", "\n", "When Quantum Fields Meet Gravity: The Unruh Effect\n", "https://towardsdatascience.com/when-quantum-fields-meet-gravity-the-unruh-effect-69d03783d6bb?gi=fbb88251c64d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantum Reference Frames\n", "\n", "A view from nowhere: quantum reference frames and uncertainty\n", "Michael Dickson\n", "Studies in History and Philosophy of Modern Physics 35 (2004) 195–220\n", "\n", "Dynamics of a quantum reference frame undergoing selective measurements and coherent interactions\n", "Mehdi Ahmadi,1, 2 David Jennings,1, 2 and Terry Rudolph1, 2\n", "arXiv:1005.0798v1 [quant-ph] 5 May 2010\n", "\n", "Physics within a quantum reference frame\n", "Renato M. Angelo,1, 2 Nicolas Brunner,2 Sandu Popescu,2 Anthony J. Short,3 and Paul Skrzypczyk2\n", "http://arxiv.org/abs/1007.2292v2\n", "\n", "Teleportation transfers only speakable quantum information\n", "Giulio Chiribella1, Vittorio Giovannetti2, Lorenzo Maccone3, Paolo Perinotti3\n", "http://arxiv.org/abs/1008.0967v3\n", "\n", "Changing quantum reference frames\n", "Matthew C. Palmer,1 Florian Girelli,2 and Stephen D. Bartlett1\n", "arXiv:1307.6597v3 [quant-ph] 21 May 2014\n", "\n", "Quantum mechanics and the covariance of physical laws in quantum reference frames\n", "1,2,∗ 1,2 ˇ 1,2 Flaminia Giacomini, Esteban Castro-Ruiz, and Caslav Brukner\n", "arXiv:1712.07207v2 [quant-ph] 6 Feb 2019\n", "\n", "A change of perspective: switching quantum reference frames via a perspective-neutral framework\n", "Augustin Vanrietvelde, Philipp A. Höhn, Flaminia Giacomini, Esteban Castro-Ruiz\n", "arXiv:1809.00556v4 [quant-ph] 22 Jan 2020\n", "\n", "Quantum reference frames for general symmetry groups\n", "Anne-Catherine de la Hamette1, 2 , ∗ and Thomas D. Galley2 , †\n", "arXiv:2004.14292v2 [quant-ph] 12 May 2020\n", "\n", "Superselection rules and quantum protocols\n", "Alexei Kitaev,1 Dominic Mayers,1,2 and John Preskill1\n", "http://arxiv.org/abs/quant-ph/0310088v2\n", "\n", "Toy Model for a Relational Formulation of Quantum Theory\n", "David Poulin∗\n", "http://arxiv.org/abs/quant-ph/0505081v2\n", "\n", "Dialogue Concerning Two Views on Quantum Coherence: Factist and Fictionist\n", "Stephen D. Bartlett,1 Terry Rudolph,2,3 and Robert W. Spekkens4\n", "http://arxiv.org/abs/quant-ph/0507214v2\n", "\n", "Quantum communication, reference frames and gauge theory\n", "S.J. van Enk\n", "http://arxiv.org/abs/quant-ph/0602079v2\n", "\n", "Reference frames, superselection rules, and quantum information\n", "1 2,3 4\n", "Stephen D. Bartlett, Terry Rudolph, and Robert W. Spekkens\n", "http://arXiv.org/abs/quant-ph/0610030v3\n", "\n", "Dynamics of a Quantum Reference Frame\n", "David Poulin Jon Yard\n", "http://arxiv.org/abs/quant-ph/0612126v2\n", "\n", "Quantum frames of reference\n", "Y. Aharonov, T. Kaufherr\n", "Physical Review D Vol. 30 No. 2 15 July 1984" ] } ], "metadata": { "kernelspec": { "display_name": "VPython", "language": "python", "name": "vpython" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }