Bibliography

Some references for How to Build a Wormhole:

Some random lectures worth checking out:

Re: The Majorana Representation

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.

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.

Bengtsson, I. (Year is required!). Geometry of quantum states : an introduction to quantum entanglement. (Vol. 9780521814515) Cambridge University Press.

H Mäkelä, & A Messina (2010). N-qubit states as points on the Bloch sphere Physica Scripta, T140, 014054.

Kolenderski, P. (2010). Geometry of Pure States of N Spin-J System Open Systems & Information Dynamics, 17(02), 107–119.

Markham, D. (2011). Entanglement and symmetry in permutation-symmetric states Physical Review A, 83(4).

Ribeiro, P., & Mosseri, R. (2011). Entanglement in the Symmetric Sector of n-Qubits Physical Review Letters, 106(18).

Martin Aulbach. (2011). Symmetric entanglement classes for n qubits.

Devi, A., Sudha, & Rajagopal, A. (2011). Majorana representation of symmetric multiqubit states Quantum Information Processing, 11(3), 685–710.

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.

Ganczarek, W., Kuś, M., & Życzkowski, K. (2012). Barycentric measure of quantum entanglement Physical Review A, 85(3).

Bruno, P. (2012). Quantum Geometric Phase in Majorana’s Stellar Representation: Mapping onto a Many-Body Aharonov-Bohm Phase Physical Review Letters, 108(24).

Baecklund, A., & Bengtsson, I. (2014). Four remarks on spin coherent states Physica Scripta, T163, 014012.

Liu, H., & Fu, L. (2014). Representation of Berry Phase by the Trajectories of Majorana Stars Physical Review Letters, 113(24).

Liu, H.D., Fu, L.B., & Wang, X.G. (2017). Coherent-State Approach for Majorana Representation Communications in Theoretical Physics, 67(6), 611.

Chryssomalakos, C., Guzmán-González, E., & Serrano-Ensástiga, E. (2018). Geometry of spin coherent statesJournal of Physics A: Mathematical and Theoretical, 51(16), 165202.

Patrick Bruno. (2018). Maxwell-Sylvester Multipoles and the Geometric Theory of Irreducible Tensor Operators of Quantum Spin Systems.

Márton Vaitkus. (2018). A Physical Perspective on Control Points and Polar Forms: Bézier Curves, Angular Momentum and Harmonic Oscillators.

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.

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.

Jeffrey R. Weeks. (2004). Maxwell's Multipole Vectors and the CMB.

Bacry, H. Eigenstates of complex linear combinations of J1, J2, J3 for any representation of SU(2) Journal of mathematical physics, 19(5).

Demosthenes Ellinas, & Vassilios Kovanis. (1993). Motion of Wavefunction Zeros in Spin-Boson Systems.

Bacry, H. (1980). Constellations and projective classical groups Comm. Math. Phys., 72(2), 119–130.

Markoulakis, E., Konstantaras, A., Chatzakis, J., Iyer, R., & Antonidakis, E. (2019). Real time observation of a stationary magnetonResults in Physics, 15, 102793.

Gazeau, Jean-Pierre. Coherent States In Quantum Physics. Weinheim: Wiley-VCH, 2009.

J M Radcliffe 1971 J. Phys. A: Gen. Phys. 4 313 "Some properties of coherent spin states"

Yao, F., Li, D., Liu, H. et al. The Exact Curve Equation for Majorana Stars. Sci Rep 7, 15558 (2017).

P Leboeuf 1991 J. Phys. A: Math. Gen. 24 4575 "Phase space approach to quantum dynamics"

Majorana, Ettore, Il Nuovo Cimento, vol. 9, 1932, pp. 43-50, by P. Radicati di Brozolo. "Oriented atoms in a variable magnetic field"

J H Hannay 1998 J. Phys. A: Math. Gen. 31 L53, "The Berry phase for spin in the Majorana representation"

Schwinger, Julian. On Angular Momentum. Oak Ridge, Tennessee: U.S. Atomic Energy Commission , 1952.

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

Majorana Representation in Quantum Optics SU(2) Interferometry and Uncertainty Relations SAROOSH SHABBIR Doctoral Thesis in Physics KTH School of Engineering Sciences Stockholm, Sweden, 2017

Majorana Representation and Mean Field Approach for Interacting-Boson System Liu Hao-Di , Fang Jie, Zheng Tai-Yu Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China

A Quantum Constellation Qian Niu Department of Physics, The University of Texas at Austin, Austin, TX 78712-0264, USA International Center for Quantum Materials, Peking University, Beijing, China June 11, 2012• Physics 5, 65 https://physics.aps.org/articles/v5/65

Comments concerning Julian Schwinger’s “ON ANGULAR MOMENTUM” Nicholas Wheeler, Reed College Physics Department October 2000

MAJORANA REPRESENTATION OF HIGHER SPIN STATES Nicholas Wheeler, Reed College Physics Department September 2000

Remarks concerning the explicit construction of SPIN MATRICES FOR ARBITRARY SPIN Nicholas Wheeler, Reed College Physics Department August 2000

The Dirac Algebra for Any Spin* David N. Williams Eidgen ̈ossiche Technische Hochschule Zu ̈rich 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.

Scattering Equations: From Projective Spaces to Tropical Grassmannians Freddy Cachazo,a Nick Early,b Alfredo Guevara,a,c,d and Sebastian Mizeraa,c rXiv:1903.08904v2 [hep-th] 8 May 2019

Atiyah Conjecture

Edinburgh Lectures on Geometry, Analysis and Physics Sir Michael Atiyah Notes by Thomas Koppe arXiv:1009.4827v1 [math.AG] 24 Sep 201

ATIYAH-SUTCLIFFE TYPE CONSTRUCTIONS EXIST FOR ALL CLASSICAL GROUPS JOSEPH MALKOUN arXiv:1508.04076v1 [math.MG] 17 Aug 2015

CONFIGURATION SPACES OF POINTS, SYMMETRIC GROUPS AND POLYNOMIALS OF SEVERAL VARIABLES JOSEPH MALKOUN arXiv:1509.06629v2 [math.MG] 20 Nov 2015

THE ATIYAH-SUTCLIFFE DETERMINANT J. MALKOUN arXiv:1903.05957v1 [math.MG] 14 Mar 2019

Indistinguishability for Quantum Particles: Spin, Statistics and the Geometric Phase Author(s): M. V. Berry and J. M. Robbins Source: Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 453, No. 1963 (Aug. 8, 1997), pp. 1771-1790 Published by: Royal Society Stable URL: https://www.jstor.org/stable/53019 Accessed: 14-06-2020 08:19 UTC

THE GEOMETRY OF POINT PARTICLES Michael Atiyah † and Paul Sutcliffe ‡ http://arxiv.org/abs/hep-th/0105179v2

POLYHEDRA IN PHYSICS, CHEMISTRY AND GEOMETRY ∗ Michael Atiyah † and Paul Sutcliffe ‡ http://arXiv.org/abs/math-ph/0303071v1

The Relativistic Geometry and Dynamics of Electrons M. F. Atiyah1 · J. Malkoun2 Found Phys (2018) 48:199–208 https://doi.org/10.1007/s10701-018-0139-2

The Geometry of Classical Particles Michael Atiyah Surveys in Differential Geometry, 2000: p 1-15

Configurations of points M. Atiyah Phil. Trans. R. Soc. Lond. A 2001 359, 1375-1387 doi: 10.1098/rsta.2001.0840

Bohmian Mechanics

Understanding Bohmian mechanics: A dialogue Roderich Tumulkaa) Dipartimento di Fisica and INFN sezione di Genova, Universita` di Genova, Via Dodecaneso 33, 16146 Genova, Italy

Quantum Linguistics

The Frobenius Anatomy of Relative Pronouns Stephen Clark Bob Coecke Mehrnoosh Sadrzadeh

Lambek vs. Lambek: Functorial Vector Space Semantics and String Diagrams for Lambek Calculus Bob Coecke, Edward Grefenstette, Mehrnoosh Sadrzadeh arXiv:1302.0393v1 [math.LO] 2 Feb 201

A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure Stephen Clark University of Cambridge Computer Laboratory Bob Coecke, Edward Grefenstette, Stephen Pulman University of Oxford Department of Computer Science Mehrnoosh Sadrzadeh Queen Mary, London School of Electronic Engineering and Computer Science arXiv:1305.0556v2 [cs.CL] 11 Oct 2013

Category-Theoretic Quantitative Compositional Distributional Models of Natural Language Semantics Edward Grefenstette arXiv:1311.1539v1 [cs.CL] 6 Nov 2013

The Frobenius anatomy of word meanings I: subject and object relative pronouns Mehrnoosh Sadrzadeh Queen Mary University of London School of Electronic Eng. and Computer Science mehrs@eecs.qmul.ac.uk Stephen Clark University of Cambridge Computer Laboratory sc609@cam.ac.uk Bob Coecke University of Oxford Dept. of Computer Science coecke@cs.ox.ac.uk http://arxiv.org/abs/1404.5278v1

The Frobenius anatomy of word meanings II: possessive relative pronouns Mehrnoosh Sadrzadeh Queen Mary University of London School of Electronic Eng. and Computer Science mehrs@eecs.qmul.ac.uk Stephen Clark University of Cambridge Computer Laboratory Bob Coecke University of Oxford Dept. of Computer Science stephen.clark@cl.cam.ac.uk coecke@cs.ox.ac.uk http://arxiv.org/abs/1406.4690v1

A Compositional Explanation of the ‘Pet Fish’ Phenomenon Bob Coecke1 and Martha Lewis1 http://arxiv.org/abs/1509.06594v1

Dual Density Operators and Natural Language Meaning Daniela Ashoush and Bob Coecke Kartsaklis, D., Lewis, M. and Rimell, L. (Eds): 2016 Workshop on Semantic Spaces at the Intersection of NLP, Physics and Cognitive Science (SLPCS’16) EPTCS 221, 2016, pp. 1–10, doi:10.4204/EPTCS.221.1

Double Dilation ‰ Double Mixing Maaike Zwart and Bob Coecke http://arxiv.org/abs/1704.02309v1

Towards Compositional Distributional Discourse Analysis Bob Coecke, Giovanni de Felice, Dan Marsden & Alexis Toumi B. Coecke, J. Hedges, D. Kartsaklis, M. Lewis, D. Marsden (Eds.): 2018 Workshop on Compositional Approaches for Physics, NLP, and Social Sciences (CAPNS) EPTCS 283, 2018, pp. 1–12, doi:10.4204/EPTCS.283.1 arXiv:1902.00032v1 [quant-ph] 31 Jan 2019

The Mathematics of Text Structure Bob Coecke arXiv:1904.03478v2 [cs.CL] 28 Feb 2020

Meaning updating of density matrices Bob Coecke Oxford University, Department of Computer Science Cambridge Quantum Computing Ltd. coecke@cs.ox.ac.uk Konstantinos Meichanetzidis Oxford University, Department of Computer Science Cambridge Quantum Computing Ltd. k.mei@cambridgequantum.com arXiv:2001.00862v1 [quant-ph] 3 Jan 2020

Quantum Natural Language Processing on Near-Term Quantum Computers K. Meichanetzidis, G. De Felice, A. Toumi and B. Coecke http://arxiv.org/abs/2005.04147v1

From word to sentence: a computational algebraic approach to grammar. Joachim Lambek McGill University, Montreal, Canada.

Categorical Quantum Mechanics

CATEGORICAL QUANTUM MECHANICS Samson Abramsky and Bob Coecke http://arXiv.org/abs/0808.1023v1

Quantum picturalism Bob Coecke∗ arXiv:0908.1787v1 [quant-ph] 13 Aug 200

Kindergarten Quantum Mechanics — lecture notes — Bob Coecke http://arXiv.org/abs/quant-ph/0510032v1

Picturing Quantum Processes Bob Coecke Aleks Kissinger

The algebra of entanglement and the geometry of composition Amar Hadzihasanovic http://arxiv.org/abs/1709.08086v2

Categorical Semantics for Time Travel Nicola Pinzani Quantum Group University of Oxford nicola.pinzani@cs.ox.ac.uk Stefano Gogioso Quantum Group University of Oxford stefano.gogioso@cs.ox.ac.uk Bob Coecke Quantum Group University of Oxford bob.coecke@cs.ox.ac.uk

A Diagrammatic Approach to Quantum Dynamics Stefano Gogioso arXiv:1905.13111v1 [quant-ph] 30 May 2019

DisCoPy: Monoidal Categories in Python Giovanni de Felice, Alexis Toumi, Bob Coecke arXiv:2005.02975v1 [math.CT] 6 May 202

The Logic of Entanglement Bob Coecke http://arXiv.org/abs/quant-ph/0402014v2

Foundations

From quantum foundations via natural language meaning to a theory of everything Bob Coecke University of Oxford coecke@cs.ox.ac.uk http://arxiv.org/abs/1602.07618v1

Mathematical Foundations of Quantum Mechanics J Von Neumann

Role of the Observer in Quantum Theory Abner Shimony Citation: American Journal of Physics 31, 755 (1963); doi: 10.1119/1.1969073

The Strong Free Will Theorem John Conway∗ and Simon Kochen∗ http://arXiv.org/abs/0807.3286v1

THE FREE WILL THEOREM JOHN CONWAY AND SIMON KOCHEN http://arXiv.org/abs/quant-ph/0604079v1

The “Free Will Theorem” of Conway & Kochen Nicholas Wheeler, Reed College Physics Department November 2009

Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics [arXiv v.3] CALT 68-2928 Charles T. Sebens and Sean M. Carroll Forthcoming in The British Journal for the Philosophy of Science arXiv:1405.7577v3 [quant-ph] 29 May 2015

Many Worlds, the Born Rule, and Self-Locating Uncertainty1 Sean M. Carroll∗ and Charles T. Sebens† arXiv:1405.7907v3 [gr-qc] 25 Mar 2015

“Space is blue and birds fly through it” Carlo Rovelli http://arxiv.org/abs/1712.02894v5

Stable Facts, Relative Facts Andrea Di Biagio1, ∗ and Carlo Rovelli2, 3, 4, http://arxiv.org/abs/2006.15543v1†

The dynamics of difference Lee Smolin∗ http://arxiv.org/abs/1712.04799v3

Quantum Multiverses∗ James B. Hartle† arXiv:1801.08631v1 [gr-qc] 25 Jan 201

QUANTUM MECHANICS IN THE LIGHT OF QUANTUM COSMOLOGY Murray Gell-Mann California Institute of Technology Pasadena, CA 91125 USA and James B. Hartle Department of Physics University of California Santa Barbara, CA 93106 USA

Decoherence and the Transition from Quantum to Classical—Revisited Wojciech H. Zurek

The Representation of Nature in Contemporary Physics Author(s): Werner Heisenberg Source: Daedalus, Vol. 87, No. 3, Symbolism in Religion and Literature (Summer, 1958), pp. 95-108 Published by: The MIT Press on behalf of American Academy of Arts & Sciences Stable URL: https://www.jstor.org/stable/20026454 Accessed: 06-06-2020 06:30 UTC

The Copenhagen Interpretation* HENRY PIERCE STAPP AJP Volume 40

The Quantum of Action and the Description of Nature Originally published in German in Naturwissenschaft, vol 17, 1929. First published in English in 1934 by Cambridge University Press.

RogerPenrose The Road to Reality

From d-dimensional Quantum to d + 1-dimensional Classical Systems Timothy H. Hsieh1

CONFERENCE ON THE FOUNDATIONS OF QUANTUM MECHANICS XAVIER UNIVERSITY PHYSICS DEPARTMENT 3800 Victory Parkway Cincinnati, Ohio 45207 http://www.xavier.edu/physics_dept/

John Archibald Wheeler: Law Without Law Pages 182–213 in: Quantum Theory and Measurement Edited by John Archibald Wheeler and Wojciech Hubert Zurek Princeton Series in Physics Princeton University Press, 1983

INFORMATION, PHYSICS, QUANTUM: THE SEARCH FOR LINKS John Archibald Wheeler * t

Eugene Wigner Remarks on the Mind-Body Question

S. Sternberg, Group theory and physics

Nine formulations of quantum mechanics 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, and Timothy D. Wotherspoon Department of Physics, Oberlin College, Oberlin, Ohio 44074

Time

Time-reversal formalism applied to maximal bipartite entanglement: Theoretical and experimental exploration M. Laforest∗, J. Baugh, and R. Laflamme http://arxiv.org/abs/quant-ph/0510048v2

Time from quantum entanglement: an experimental illustration Ekaterina Moreva1, 2, Giorgio Brida1, Marco Gramegna1, Vittorio Giovannetti3, Lorenzo Maccone4, Marco Genovese1 arXiv:1310.4691v1 [quant-ph] 17 Oct 201

Space-Time Circuit-to-Hamiltonian Construction and Its Applications Nikolas P. Breuckmann and Barbara M. Terhal http://arxiv.org/abs/1311.6101v3

Feynman’s Clock for open quantum systems David G. Tempel ‡ and Ala ́n Aspuru-Guzik§ arXiv:1406.5631v1 [quant-ph] 21 Jun 2014

The Feynman-Kitaev computer’s clock: bias, gaps, idling and pulse tuning Libor Caha∗1, Zeph Landau2, and Daniel Nagaj†3 arXiv:1712.07395v2 [quant-ph] 4 Jul 2018

Quantum Time Vittorio Giovannetti,1 Seth Lloyd2 , Lorenzo Maccone3 http://arxiv.org/abs/1504.04215v3

Is Time’s Arrow Perspectival? Carlo Rovelli arXiv:1505.01125v2 [physics.hist-ph] 10 May 2015

Evolution without evolution, and without ambiguities C. Marlettoa and V. Vedrala,b http://arxiv.org/abs/1610.04773v2

Temporal Observables and Entangled Histories Jordan S. Cotler1 and Frank A. Wilczek2, 3, 4, 5 arXiv:1702.05838v1 [quant-ph] 20 Feb 2017

Quantizing time: Interacting clocks and systems Alexander R. H. Smith1 and Mehdi Ahmadi2 arXiv:1712.00081v3 [quant-ph] 2 Jul 201

The Trinity of Relational Quantum Dynamics Philipp A. Ho ̈hn,1, ∗ Alexander R. H. Smith,2, † and Maximilian P. E. Lock3 http://arxiv.org/abs/1912.00033v1

Evolution without evolution: Dynamics described by stationary observables Page and Wooters June 15, 1983

Time in Quantum Theory* H. D. Zeh www.zeh-hd.de 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

Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators Ashmeet Singh∗ and Sean M. Carroll† arXiv:1806.10134v2 [quant-ph] 23 Apr 2020

Coherent States

A pedestrian introduction to coherent and squeezed states Bijan Bagchi1, Rupamanjari Ghosh2 and Avinash Khare3 http://arxiv.org/abs/2004.08829v3

The growth and zeros of Bargmann functions To cite this article: A Vourdas 2010 J. Phys.: Conf. Ser. 213 012001

Coherent States in Quantum Physics John-Pierre Gazeau

The Continuous Transition from Micro to Macro-Mechanics Schrodinger Die Naturwissenschaften 28 p 664-666 1926

SIGNAL ANALYSIS AND QUANTUM FORMALISM: QUANTIZATIONS WITH NO PLANCK CONSTANT JEAN PIERRE GAZEAUA AND CÉLESTIN HABONIMANAB http://arxiv.org/abs/2001.04916v1

COVARIANT INTEGRAL QUANTIZATION OF THE UNIT DISK M. A. DEL OLMOA AND J.P. GAZEAUB,C http://arxiv.org/abs/1810.10399v1

FROM CLASSICAL TO QUANTUM MODELS: THE REGULARISING RÔLE OF INTEGRALS, SYMMETRY AND PROBABILITIES JEAN-PIERRE GAZEAUA,B arXiv:1801.02604v2 [quant-ph] 10 Apr 2018

A baby Majorana quantum formalism Herv ́e Bergeron Univ Paris-Sud, ISMO, UMR 8214, 91405 Orsay, France E-mail: herve.bergeron@u-psud.fr Evaldo M. F. Curado Centro Brasileiro de Pesquisas Fisicas and Instituto Nacional de Ciˆencia e Tecnologia - Sistemas Complexos Rua Xavier Sigaud 150, 22290-180 - Rio de Janeiro, RJ, Brazil E-mail: evaldo@cbpf.br Jean-Pierre Gazeau APC, UMR 7164, Univ Paris Diderot, Sorbonne Paris Cit ́e, 75205 Paris, France E-mail: gazeau@apc.in2p3.fr Ligia M.C.S. Rodrigues Centro Brasileiro de Pesquisas Fisicas Rua Xavier Sigaud 150, 22290-180 - Rio de Janeiro, RJ, Brazil E-mail: ligia@cbpf.br 01 June 2017 arXiv:1701.04026v3 [quant-ph] 3 Jun 2017

POVM QUANTIZATION JEAN PIERRE GAZEAU AND BARBARA HELLER http://arxiv.org/abs/1408.6090v1

INTEGRAL QUANTIZATIONS WITH TWO BASIC EXAMPLES HERVE BERGERON AND JEAN PIERRE GAZEAU http://arxiv.org/abs/1308.2348v2

Action-angle coherent states for quantum systems with cylindric phase space Isiaka Aremua, Jean Pierre Gazeau2∗, and Mahouton Norbert Hounkonnou1† http://arxiv.org/abs/1111.4908v2

Complex and real Hermite polynomials and related quantizations Nicolae Cotfas1, Jean Pierre Gazeau2, and Katarzyna G ́orska3 http://arxiv.org/abs/1001.3248v1

Coherent States and Bayesian Duality S. Twareque Ali 1 J.-P. Gazeau 2 B. Heller 3 http://arxiv.org/abs/0803.2269v1

Finite tight frames and some applications Nicolae Cotfas1 and Jean Pierre Gazeau2 http://arxiv.org/abs/0803.0077v4

Examples of Berezin-Toeplitz Quantization: Finite sets and Unit Interval J.-P. Gazeau, T. Garidi, E. Huguet, M. Lachieze Rey, and J. Renaud http://arxiv.org/abs/quant-ph/0303090v1

Quantization of the sphere with coherent states preprintAPS/CS Marc Lachieze Rey1,2, Jean-Pierre Gazeau1,3, Eric Huguet1,4, Jacques Renaud1,5 and Tarik Garidi1,6, 1- F ́ed ́eration de Recherches Astroparticules et Cosmologie Boite 7020, Universit ́e Paris 7 Denis Diderot, F-75251 Paris Cedex 05, France 2 Service d’Astrophysique, C.E. Saclay, 91191 Gif sur Yvette cedex, France, marclr@cea.fr 3 gazeau@ccr.jussieu.fr 4 eric.huguet@obspm.fr 5 renaud@ccr.jussieu.fr 6 garidi@ccr.jussieu.fr http://arxiv.org/abs/math-ph/0302056v1

Coherent States and Modified de Broglie-Bohm Complex Quantum Trajectories Moncy V. John · Kiran Mathew arXiv:1104.3197v4 [quant-ph] 26 Sep 2013

Joint ICTP-TWAS School on Coherent State Transforms, Time- Frequency and Time-Scale Analysis, Applications 2 - 20 June 2014 Coherent states, POVM, quantization and measurement J-P. Gazeau U. Paris 7 France

Beyond Coherent State Quantization Laure Gouba1 arXiv:1909.03928v1 [math-ph] 9 Sep 2019

Games

PLAYING PRISONER’S DILEMMA WITH QUANTUM RULES ∗ JIANGFENG DU Department of Modern Physics, University of Science and Technology of China, Hefei, 230027, People’s Republic of China and Department of Physics, National University of Singapore, Lower Fent Ridge, Singapore 119260 djf@ustc.edu.cn XIAODONG XU, HUI LI, XIANYI ZHOU, and RONGDIAN HAN Department of Modern Physics, University of Science and Technology of China, Hefei, 230027, People’s Republic of China http://arXiv.org/abs/quant-ph/0301042v2

Towards compositional game theory Julian Hedges

Geometric Quantum Mechanics

Geometrical Formulation of Quantum Mechanics Abhay Ashtekar1,2 and Troy A. Schilling1,3 http://arXiv.org/abs/gr-qc/9706069v1

MATHEMATICAL FOUNDATIONS OF GEOMETRIC QUANTIZATION Arturo Echeverr ́ia-Enr ́iquez, Miguel C. Mun ̃oz-Lecanda∗, Narciso Roma ́n-Roy†, Carles Victoria-Monge‡ http://arXiv.org/abs/math-ph/9904008v1

Geometric Quantum Mechanics B y Dorje C. Brody1 and Lane P. Hughston2 http://arXiv.org/abs/quant-ph/9906086v2

https://johncarlosbaez.wordpress.com/2018/12/01/geometric-quantization-part-1/

Oscillators

Jordan-Schwinger map, 3D harmonic oscillator constants of motion, and classical and quantum parameters characterizing electromagnetic wave polarization R D Mota1∗, M A Xicot ́encatl1 and V D Granados2 http://arXiv.org/abs/0801.4744v1

Quantization of the Harmonic Oscillator – Ariadne’s Thread in Quantization

SU(N) Coherent States Manu Mathur1 and H. S. Mani 2 http://arXiv.org/abs/quant-ph/0206005v1

Irreducible SU(3) Schwinger Bosons Ramesh Anishetty,Manu Mathur,Indrakshi Raychowdhury JOURNAL OF MATHEMATICAL PHYSICS 50, 053503 2009

The Schwinger Representation of a Group: Concept and Applications S. Chaturvedi School of Physics, University of Hyderabad, Hyderabad 500 046, India - scsp@uohyd.ernet.in G. Marmo Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and INFN, Via Cintia, 80126 Napoli, Italy - giuseppe.marmo@na.infn.it N. Mukunda Centre for High Energy Physics, Indian Institute of Science, Bangalore 560 012, India - nmukunda@cts.iisc.ernet.in R.Simon The Institute of Mathematical Sciences, C. I. T. Campus, Chennai 600 113, India - simon@imsc.res.in A. Zampini Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and INFN, Via Cintia, 80126 Napoli, Italy - alessandro.zampini@na.infn.it http://arXiv.org/abs/quant-ph/0505012v1

An oscillator-representation of elementary particles Y Sobouti Institute for Advanced Studies in Basic Sciences (IASBS) No. 444, Prof. Sobouti Blvd., Zanjan 45137-66731, Iran

Other

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. The Mind-Body Problem in the Origin of Logical Empiricism: Herbert Feigl and Psychophysical Parallelism ––––––––– MICHAEL HEIDELBERGER Universität Tübingen

On Psychology and Metaphysics Philosophical Fragments of Bernard Riemann

Transfite Life Oskar Goldberg and the Vitalist Imagination

Quantum Eraser Using A Modified Stern-Gerlach Setup Tabish Qureshi∗) and Zini Rahman∗∗) Centre for Theoretical Physics Jamia Millia Islamia, New Delhi-110025, India. http://arxiv.org/abs/quant-ph/0501010v3

Loops

Quantum tetrahedron and its classical limit Daniel R. Terno∗ http://arxiv.org/abs/0808.2533v2

The Fine Structure of SU(2) Intertwiners from U(N) Representations Laurent Freidel1 and Etera R. Livine2 http://arxiv.org/abs/0911.3553v1

Twisted geometries: A geometric parametrisation of SU(2) phase space Laurent Freidela and Simone Spezialeb∗ http://arxiv.org/abs/1001.2748v3

Quantum Tetrahedra Mauro Carfora Annalisa Marzuoli Mario Rasetti http://arxiv.org/abs/1001.4402v1

U(N) Coherent States for Loop Quantum Gravity Laurent Freidel1 and Etera R. Livine2 http://arxiv.org/abs/1005.2090v1

From twistors to twisted geometries Laurent Freidela and Simone Spezialeb∗ http://arxiv.org/abs/1006.0199v1

Dynamics for a 2-vertex Quantum Gravity Model Enrique F. Borja,1, 2 Jacobo D ́ıaz-Polo,3 In ̃aki Garay,1 and Etera R. Livine4 http://arxiv.org/abs/1006.2451v2

Polyhedra in loop quantum gravity Eugenio Bianchia, Pietro Don ́aa,b and Simone Spezialea http://arxiv.org/abs/1009.3402v2

U(N) tools for Loop Quantum Gravity: The Return of the Spinor Enrique F. Borja,1, 2 Laurent Freidel,3 In ̃aki Garay,1 and Etera R. Livine4 http://arxiv.org/abs/1010.5451v1

U(N) invariant dynamics for a simplified loop quantum gravity model Enrique F. Borja Institute for Theoretical Physics III, University of Erlangen-Nu ̈rnberg, Staudtstraße 7, D-91058 Erlangen (Germany). 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). E-mail: efborja@theorie3.physik.uni-erlangen.de Jacobo D ́ıaz-Polo Institute for Gravitation and the Cosmos & Physics Department, Penn State, University Park, PA 16802-6300, U.S.A. E-mail: jacobo@gravity.psu.edu In ̃aki Garay Institute for Theoretical Physics III, University of Erlangen-Nu ̈rnberg, Staudtstraße 7, D-91058 Erlangen (Germany). E-mail: igael@theorie3.physik.uni-erlangen.de Etera R. Livine Laboratoire de Physique, ENS Lyon, CNRS-UMR 5672, 46 All ́ee d’Italie, Lyon 69007, France. E-mail: etera.livine@ens-lyon.fr http://arxiv.org/abs/1012.3832v1

Spinor Representation for Loop Quantum Gravity Etera Livine, Johannes Tambornino http://arxiv.org/abs/1105.3385v2

U(N) and holomorphic methods for LQG and Spin Foams Enrique F. Borja Institute for Theoretical Physics III, University of Erlangen-Nürnberg, Staudtstraße 7, D-91058 Erlangen (Germany). 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 Jacobo Diaz-Polo Department of Physics and Astronomy, Louisiana State University Baton Rouge, LA, 70803-4001. E-mail: jacobo@phys.lsu.edu Iñaki Garay Institute for Theoretical Physics III, University of Erlangen-Nürnberg, Staudtstraße 7, D-91058 Erlangen (Germany). E-mail: igael@theorie3.physik.uni-erlangen.de http://arxiv.org/abs/1110.4578v1

Dynamics for a simple graph using the U(N) framework for loop quantum gravity Enrique F. Borja1,2, Jacobo D ́ıaz-Polo3, Laurent Freidel4, In ̃aki Garay1, Etera R. Livine4,5 http://arxiv.org/abs/1110.6017v1

Generating Functions for Coherent Intertwiners Valentin Bonzom1, ∗ and Etera R. Livine2, 1, † http://arxiv.org/abs/1205.5677v1

Holonomy Operator and Quantization Ambiguities on Spinor Space Etera R. Livine, Johannes Tambornino1 http://arxiv.org/abs/1302.7142v2

Deformations of Polyhedra and Polygons by the Unitary Group Etera R. Livine1, 2 , ∗ http://arxiv.org/abs/1307.2719v1

Spinning geometry = Twisted geometry Laurent Freidel1, ∗ and Jonathan Ziprick1, 2, † arXiv:1308.0040v2 [gr-qc] 23 Jan 2014

Polyhedra in spacetime from null vectors Yasha Neiman∗ http://arxiv.org/abs/1308.1982v2

SO∗(2N) coherent states for loop quantum gravity Florian Girelli1, ∗ and Giuseppe Sellaroli1, † arXiv:1701.07519v1 [math-ph] 25 Jan 2017

An algorithm to reconstruct convex polyhedra from their face normals and areas Giuseppe Sellaroli

rXiv:1712.00825v1 [cs.CG] 3 Dec 2017

Quantum Spacetime on a Quantum Simulator 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 arXiv:1712.08711v1 [quant-ph] 23 Dec 2017

Gluing polyhedra with entanglement in loop quantum gravity Bekir Bayta ̧s,a Eugenio Bianchi,a Nelson Yokomizo b arXiv:1805.05856v2 [gr-qc] 3 Jul 2018

Spin Foam Vertex Amplitudes on Quantum Computer - Preliminary Results Jakub Mielczareka rXiv:1810.07100v2 [gr-qc] 18 Jun 2019

Gauge fields and quantum entanglement Jakub Mielczarek1 , ∗ and Tomasz Trze ́sniewski1 arXiv:1911.10208v1 [hep-th] 22 Nov 2019

Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity Ilkka Mäkinen arXiv:1910.06821v2 [gr-qc] 18 Oct 2019

Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators Florian Girelli∗, Etera R. Livine† http://arXiv.org/abs/gr-qc/0501075v2

Quantum Gravity Carlo Rovelli

Covariant Loop Quantum Gravity An elementary introduction to Quantum Gravity and Spinfoam Theory CARLO ROVELLI AND FRANCESCA VIDOTTO

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

Neural Networks

Clebsch–Gordan Nets: a Fully Fourier Space Spherical Convolutional Neural Network Risi Kondor1∗ Zhen Lin1∗ Shubhendu Trivedi2∗ arXiv:1806.09231v2 [stat.ML] 10 Nov 2018

The Complexity of Explaining Neural Networks Through (group) Invariants Danielle Ensign School of Computing, University of Utah Scott Neville School of Computing, University of Utah Arnab Paul Intel Labs, Oregon Suresh Venkatasubramanian

Machine learning-based classification of vector vortex beams 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 rXiv:2005.07949v1 [quant-ph] 16 May 2020

Polarization

Direct discrimination of structured light by humans Dusan Sarenaca,1, Connor Kapahia,b , Andrew E. Silvac, David G. Corya,d, Ivar Taminiaua, Benjamin Thompsonc , and Dmitry A. Pushina,b

SLOCC / Ellipsoids

Quantum Steering Ellipsoids Sania Jevtic,1,2 Matthew Pusey,3,2 David Jennings,2 and Terry Rudolph2

rXiv:1303.4724v2 [quant-ph] 9 Jul 2014

Quantum steering ellipsoids, extremal physical states and monogamy Antony Milne1, Sania Jevtic2, David Jennings1, Howard Wiseman3 and Terry Rudolph1 rXiv:1403.0418v3 [quant-ph] 20 Mar 2015

Geometric representation of two-qubit entanglement witnesses Antony Milne,∗ David Jennings, and Terry Rudolph arXiv:1407.8440v2 [quant-ph] 10 Jul 2015

Einstein-Podolsky-Rosen steering and the steering ellipsoid Sania Jevtic,1 Michael J. W. Hall,2 Malcolm R. Anderson,3 Marcin Zwierz,4, 2 and Howard M. Wiseman2 arXiv:1411.1517v2 [quant-ph] 17 Mar 2015

Steering Bell-diagonal states Quan Quan1, Huangjun Zhu2,3*, Si-Yuan Liu1‡, Shao-Ming Fei4,5, Heng Fan6,7,1, and Wen-Li Yang1,8 http://arxiv.org/abs/1601.00113v2

Local filtering operations on two qubits Frank Verstraete, Jeroen Dehaene, Bart De Moor∗ Katholieke Universiteit Leuven, Department of Electrical Engineering, Research Group SISTA Kard. Mercierlaan 94, B-3001 Leuven, Belgium (February 1, 2008) http://arXiv.org/abs/quant-ph/0011111v1

The Sphere

Hopf Fibration and Quantum Entanglement in Qubit Systems P. A. Pinilla∗ and J. R. Luthra† http://arxiv.org/abs/0904.4925v1

Physics of the Lorentz Group Sibel Ba ̧skal Department of Physics, Middle East Technical University, 06800 Ankara, Turkey Young S Kim Center for Fundamental Physics, University of Maryland, College Park, Maryland, MD 20742, USA Marilyn E Noz Department of Radiology, New York University, New York, NY 10016, USA

An introduction to spinors Andrew M. Steane http://arxiv.org/abs/1312.3824v1

Two and Three-Qubits Geometry, Quaternionic and Octonionic Conformal Maps, and Intertwining Stereographic Projection G. Najarbashi a ∗,B. Seifi a †, S. Mirzaei a ‡ arXiv:1501.06013v2 [quant-ph] 12 Nov 2015

From the Lorentz Group to the Celestial Sphere Blagoje Oblak∗ arXiv:1508.00920v3 [math-ph] 4 May 2018

The conformal transformation of the night sky E Minguzzi http://arxiv.org/abs/1606.07665v2

TWO AND THREE QUBITS GEOMETRY AND HOPF FIBRATIONS REMY MOSSERI http://arxiv.org/abs/quant-ph/0310053v1

The Geometry of The Night Sky or, An Ape Pointing at The Stars Aaron Fenyes

Spin Geometry H. BLAINE LAWSON, JR. and MARIE-LOUISE MICHELSOH

A Child’s Guide to Spinors William O. Straub Pasadena, California 91104 December 31, 2016

Lorentz Transformation, Poincaré Vectors and Poincaré Sphere in Various Branches of Physics Tiberiu Tudor 1,2

Mathematical Apparatus of The Theory of Angular MOmentum Yutsis Levinson Vanagas

Spin Networks

A SPIN NETWORK PRIMER SETH A. MAJOR http://arXiv.org/abs/gr-qc/9905020v2

ANGULAR MOMENTUM: AN APPROACH TO COMBINATORIAL SPACE-TIME ROGER PENROSE

Roger Penrose On the Nature of Quantum Geometry

Angular momentum coupling: spin networks and their evaluation by integration over SU(2). N. G. Jones

Spinor Helicity Variables

TASI Lectures on Scattering Amplitudes Clifford Cheung http://arxiv.org/abs/1708.03872v1

Scattering Amplitudes For All Masses and Spins Nima Arkani-Hamed,1 Tzu-Chen Huang2 Yu-tin Huang,3,4 arXiv:1709.04891v1 [hep-th] 14 Sep 2017

SYK and Majorana Fermions

Braiding With Majorana Fermions Louis H. Kauffmana and Samuel J. Lomonaco Jr.2b http://arxiv.org/abs/1603.07827v1

Majorana Fermions and Representations of the Braid Group Louis H. Kauffman http://arxiv.org/abs/1710.04650v2

Operator growth in the SYK model Daniel A. Roberts,ab Douglas Stanford,a and Alexandre Streichercd arXiv:1802.02633v1 [hep-th] 7 Feb 2018

An introduction to the SYK model Vladimir Rosenhaus arXiv:1807.03334v1 [hep-th] 9 Jul 2018

A Traversable Wormhole Teleportation Protocol in the SYK Model Ping Gao1 and Daniel Louis Jafferis2 arXiv:1911.07416v2 [hep-th] 20 Nov 2019

SYK wormhole formation in real time Juan Maldacena1 and Alexey Milekhin2 arXiv:1912.03276v1 [hep-th] 6 Dec 2019

Size of bulk fermions in the SYK model Yuri D. Lensky,a Xiao-Liang Qia and Pengfei Zhangb arXiv:2002.01961v1 [hep-th] 5 Feb 2020

The Fermionic canonical commutation relations and the Jordan-Wigner transform Michael A. Nielsen1, ∗

Wormholes

Computational Complexity and Black Hole Horizons Leonard Susskind arXiv:1402.5674v2 [hep-th] 25 Feb 2014

Entanglement is not Enough Leonard Susskind arXiv:1411.0690v1 [hep-th] 3 Nov 2014

Copenhagen vs Everett, Teleportation, and ER=EPR Leonard Susskind arXiv:1604.02589v2 [hep-th] 23 Apr 2016

Teleportation Through the Wormhole Leonard Susskind and Ying Zhao arXiv:1707.04354v1 [hep-th] 13 Jul 2017

Dear Qubitzers, GR=QM. Leonard Susskind arXiv:1708.03040v1 [hep-th] 10 Aug 2017

Why do Things Fall? Leonard Susskind arXiv:1802.01198v2 [hep-th] 22 Apr 2018

Operator scrambling and quantum chaos Xiao Chen1 , ∗ and Tianci Zhou2 , † arXiv:1804.08655v1 [cond-mat.str-el] 23 Apr 2018

Three Lectures on Complexity and Black Holes Leonard Susskind arXiv:1810.11563v1 [hep-th] 27 Oct 2018

Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK Xiao-Liang Qia and Alexandre Streicherab arXiv:1810.11958v3 [hep-th] 15 Nov 2019

Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes 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 arXiv:1911.06314v1 [quant-ph] 14 Nov 2019

Leonard Susskind World as Hologram

Tensor Networks and Error Correcting Codes

Quantum error-correction in black holes Beni Yoshida (Perimeter Institute)

Algorithms for entanglement renormalization G. Evenbly1 and G. Vidal1 arXiv:0707.1454v4 [cond-mat.str-el] 13 Apr 2009

Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence arXiv:1503.06237v2 [hep-th] 22 Jul 2015

Classical Holographic Codes Enrico M. Brehma and Benedikt Richtera,b,c arXiv:1609.03560v3 [hep-th] 8 Sep 2017

De Sitter Space as a Tensor Network: Cosmic No-Hair, Complementarity, and Complexity Ning Bao,1, 2, ∗ ChunJun Cao,1, † Sean M. Carroll,1, ‡ and Aidan Chatwin-Davies1, § arXiv:1709.03513v2 [hep-th] 1 Feb 2018

A PEDAGOGICAL OVERVIEW ON 2D AND 3D TORIC CODES AND THE ORIGIN OF THEIR TOPOLOGICAL ORDERS M. F. ARAUJO DE RESENDE arXiv:1712.01258v2 [quant-ph] 6 Sep 2019

Quantum Tensor Networks in a Nutshell Jacob Biamonte1, 2, ∗ and Ville Bergholm1, † rXiv:1708.00006v1 [quant-ph] 31 Jul 2017

Learning Unitaries by Gradient Descent Bobak Toussi Kiani,1 Seth Lloyd,1 and Reevu Maity2 arXiv:2001.11897v3 [quant-ph] 18 Feb 2020

TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models Martin Ganahl,1 Ashley Milsted,1 Stefan Leichenauer,2 Jack Hidary,2 and Guifre Vidal1, 2 arXiv:1906.12030v1 [physics.comp-ph] 28 Jun 2019

TensorNetwork on TensorFlow: A Spin Chain Application Using Tree Tensor Networks Ashley Milsted,1 Martin Ganahl,1 Stefan Leichenauer,2 Jack Hidary,2 and Guifre Vidal1, 2 arXiv:1905.01331v1 [cond-mat.str-el] 3 May 2019

Humanly traversable wormholes Juan Maldacena1 and Alexey Milekhin2 arXiv:2008.06618v1 [hep-th] 15 Aug 2020

TASI Lectures on the Emergence of Bulk Physics in AdS/CFT Daniel Harlow∗ PoS(TASI2017)002

Symplectic Spaces and Non-inertial Frames

Horizon temperature without space-time1 Michele Arzanoa,b http://arxiv.org/abs/2003.14083v1

Generating entangled fermions by accelerated measurements on the vacuum David C. M. Ostapchuk∗ and Robert B. Mann† arXiv:0903.0219v1 [quant-ph] 2 Mar 2009

Gaussian Quantum Information Christian Weedbrook 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 Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA Stefano Pirandola Department of Computer Science, University of York, Deramore Lane, York YO10 5GH, United Kingdom Rau ́l Garc ́ıa-Patro ́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 Nicolas J. Cerf Quantum Information and Communication, Ecole Polytechnique, Universite ́ Libre de Bruxelles, 1050 Brussels, Belgium and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA Timothy C. Ralph Centre for Quantum Computation and Communication Technology, Department of Physics, University of Queensland, Brisbane, Queensland 4072, Australia Jeffrey H. Shapiro Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge MA 02139, USA Seth Lloyd 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 http://arxiv.org/abs/1110.3234v1

Unitary Inequivalent Representations and Quantum Physics Arman Stepanian∗, Mahsa Kohandel† rXiv:1312.3239v7 [quant-ph] 3 Feb 2017

Bosonic quadratic Hamiltonians Jan Dereziński http://arxiv.org/abs/1608.03289v2

From Hamiltonians to complex symplectic transformations Gianfranco Cariolaro and Gianfranco Pierobon∗ http://arxiv.org/abs/1704.02008v1

Accelerated quantum walk, two-particle entanglement generation and localization Shivani Singh,1, 2 Radhakrishnan Balu,3, 4 Raymond Laflamme,5, 6 and C. M. Chandrashekar1, 2 , ∗ rXiv:1810.02754v2 [quant-ph] 9 Jul 2019

Alice falls into a black hole: Entanglement in non-inertial frames I. Fuentes-Schuller∗⋄‡, R. B. Mann†‡ http://arxiv.org/abs/quant-ph/0410172v3

THE SYMPLECTIZATION OF SCIENCE Symplectic Geometry Lies at the Very Foundations of Physics and Mathematics

Mark J. Gotay Department of Mathematics University of Hawai‘i 2565 The Mall Honolulu, HI 96822 USA James A.Isenberg Institute of Theoretical Science and Department of Mathematics University of Oregon Eugene, OR 97403-5203 USA

Quantum Communication in Rindler Spacetime Kamil Bra ́dler1, Patrick Hayden1,2, and Prakash Panangaden1

Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir M. J. Woolley1 and A. A. Clerk2

How to Generate Random Matrices from the Classical Compact Groups Francesco Mezzadri

Entanglement of Dirac field modes for uniformly accelerated observers Gelo Noel M. Tabia1, ∗

Canonical Transformations in Quantum Field Theory Lecture notes by M. Blasone

Entanglement between the future and past in the quantum vacuum S. Jay Olson∗ and Timothy C. Ralph arXiv:1003.0720v1 [quant-ph] 3 Mar 2010

Squeezed light A. I. Lvovsky arXiv:1401.4118v2 [quant-ph] 28 Jul 2016

Continuous variable quantum information: Gaussian states and beyond Gerardo Adesso, Sammy Ragy, and Antony R. Lee arXiv:1401.4679v3 [quant-ph] 14 Mar 2014

General Multimode Squeezed States Gan Qin1,2∗, Ke-lin Wang2, and Tong-zhong Li1,3 http://arXiv.org/abs/quant-ph/0109020v1

HOLSTEIN-PRIMAKOFF/BOGOLIUBOV TRANSFORMATIONS AND THE MULTIBOSON SYSTEM Michael Martin Nieto1 Theoretical Division, Los Alamos National Laboratory University of California Los Alamos, New Mexico 87545, U.S.A. and Abteilung fu ̈r Quantenphysik Universit ̈at Ulm D-89069 Ulm, GERMANY D. Rodney Truax2 Department of Chemistry University of Calgary Calgary, Alberta T2N 1N4, Canada http://arXiv.org/abs/quant-ph/9506025v2

8 The Unruh effect Mukhanov and Winitzki

Degradation of entanglement between two accelerated parties: Bell states under the Unruh effect Benedikt Richter1,2 and Yasser Omar1,2,3 10.1103/PhysRevA.92.022334

Quantum steering between two accelerated parties Shu-Min Wu, Zuo-Chen Li and Hao-Sheng Zeng Laser Phys. Lett. 17 (2020) 035202 (5pp) https://doi.org/10.1088/1612-202X/ab6d66

When Quantum Fields Meet Gravity: The Unruh Effect https://towardsdatascience.com/when-quantum-fields-meet-gravity-the-unruh-effect-69d03783d6bb?gi=fbb88251c64d

Quantum Reference Frames

A view from nowhere: quantum reference frames and uncertainty Michael Dickson Studies in History and Philosophy of Modern Physics 35 (2004) 195–220

Dynamics of a quantum reference frame undergoing selective measurements and coherent interactions Mehdi Ahmadi,1, 2 David Jennings,1, 2 and Terry Rudolph1, 2 arXiv:1005.0798v1 [quant-ph] 5 May 2010

Physics within a quantum reference frame Renato M. Angelo,1, 2 Nicolas Brunner,2 Sandu Popescu,2 Anthony J. Short,3 and Paul Skrzypczyk2 http://arxiv.org/abs/1007.2292v2

Teleportation transfers only speakable quantum information Giulio Chiribella1, Vittorio Giovannetti2, Lorenzo Maccone3, Paolo Perinotti3 http://arxiv.org/abs/1008.0967v3

Changing quantum reference frames Matthew C. Palmer,1 Florian Girelli,2 and Stephen D. Bartlett1 arXiv:1307.6597v3 [quant-ph] 21 May 2014

Quantum mechanics and the covariance of physical laws in quantum reference frames 1,2,∗ 1,2 ˇ 1,2 Flaminia Giacomini, Esteban Castro-Ruiz, and Caslav Brukner arXiv:1712.07207v2 [quant-ph] 6 Feb 2019

A change of perspective: switching quantum reference frames via a perspective-neutral framework Augustin Vanrietvelde, Philipp A. Höhn, Flaminia Giacomini, Esteban Castro-Ruiz arXiv:1809.00556v4 [quant-ph] 22 Jan 2020

Quantum reference frames for general symmetry groups Anne-Catherine de la Hamette1, 2 , ∗ and Thomas D. Galley2 , † arXiv:2004.14292v2 [quant-ph] 12 May 2020

Superselection rules and quantum protocols Alexei Kitaev,1 Dominic Mayers,1,2 and John Preskill1 http://arxiv.org/abs/quant-ph/0310088v2

Toy Model for a Relational Formulation of Quantum Theory David Poulin∗ http://arxiv.org/abs/quant-ph/0505081v2

Dialogue Concerning Two Views on Quantum Coherence: Factist and Fictionist Stephen D. Bartlett,1 Terry Rudolph,2,3 and Robert W. Spekkens4 http://arxiv.org/abs/quant-ph/0507214v2

Quantum communication, reference frames and gauge theory S.J. van Enk http://arxiv.org/abs/quant-ph/0602079v2

Reference frames, superselection rules, and quantum information 1 2,3 4 Stephen D. Bartlett, Terry Rudolph, and Robert W. Spekkens http://arXiv.org/abs/quant-ph/0610030v3

Dynamics of a Quantum Reference Frame David Poulin Jon Yard http://arxiv.org/abs/quant-ph/0612126v2

Quantum frames of reference Y. Aharonov, T. Kaufherr Physical Review D Vol. 30 No. 2 15 July 1984