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    "<div class=\"row\">\n",
    "<div class=\"col-md-12\">\n",
    "<h1>Index</h1><br>\n",
    "</div>\n",
    "</div>\n",
    "\n",
    "<div class=\"row\">\n",
    "<div class=\"col-md-12\">\n",
    "<p>This index contains our collection of <a href=\"http://jupyter.org/\">Jupyter</a> notebooks\n",
    "for introducing and demonstrating features of QuTiP.\n",
    "Going through these notebooks should be a good way to get familiarized with the software.\n",
    "If you are new to scientific computing with Python, you might also find it\n",
    "useful to have a look at these IPython notebook\n",
    "<a href=\"http://jrjohansson.github.io/\">Lectures on scientific computing with Python</a>.\n",
    "</p>\n",
    "<p>The following are the contents of this page:</p>\n",
    "<ul>\n",
    "<li><a href=\"#example-notebooks\">Example notebooks</a>\n",
    "\t<ul>\n",
    "\t<li><a href=\"#python-introduction\">Python Introduction</a></li>\n",
    "\t<li><a href=\"#basics\">Basics</a></li>\n",
    "\t<li><a href=\"#visualizations\">Visualization</a></li>\n",
    "\t<li><a href=\"#quantum-information-processing\">Quantum information processing</a></li>\n",
    "\t<ul>\n",
    "\t<li><a href=\"#quantum-circuits\">Quantum circuits and algorithms</a></li>\n",
    "\t<li><a href=\"#nisq\">Noisy quantum devices</a></li>\n",
    "\t</ul>\n",
    "\t<li><a href=\"#time-evolution\">Time evolution</a></li>\n",
    "\t<li><a href=\"#optimal-control\">Optimal control</a></li>\n",
    "\t<li><a href=\"#piqs\">Permutational invariant Lindblad dynamics</a></li>\n",
    "\t</ul>\n",
    "</li>\n",
    "<li><a href=\"#development-nbs\">Development notebooks</a></li>\n",
    "</ul>\n",
    "</div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<div class=\"row\">\n",
    "<div class=\"col-md-12\">\n",
    "<h3 id=\"example-notebooks\">Example notebooks</h3>\n",
    "</div>\n",
    "</div>\n",
    "\n",
    "<div class=\"row\">\n",
    "<div class=\"col-md-12\">\n",
    "<p>These notebooks demonstrate and introduce specific functionality in QuTiP.\n",
    "</p>\n",
    "\n",
    "</div>\n",
    "</div>\n",
    "\n",
    "<div class=\"row\">\n",
    "<div class=\"col-md-6\">\n",
    "<h4 id=\"python-introduction\">Python Introduction</h4>\n",
    "<ul>\n",
    "<li><a href=\"python/Beginning_Python.ipynb\">Quick introduction to Python</a></li>\n",
    "<li><a href=\"python/NumPy_Array_Basics.ipynb\">Overview of NumPy Arrays</a></li>\n",
    "<li><a href=\"python/Matplotlib_Plotting.ipynb\">Brief introduction to Matplotlib</a></li>\n",
    "</ul>\n",
    "<p>For a more in depth discussion see: <a href='https://github.com/jrjohansson/scientific-python-lectures'>Lectures on scientific computing with Python</a>.</p>\n",
    "\n",
    "<h4 id=\"basics\">Basics</h4>\n",
    "<ul>\n",
    "<li> <a href=\"examples/eseries.ipynb\">Exponential series</a> </li>\n",
    "<li> <a href=\"examples/ultrastrong-coupling-groundstate.ipynb\">Groundstates: Jaynes-Cummings model in the ultrastrong coupling regime</a> </li>\n",
    "<li> <a href=\"examples/superop-contract.ipynb\">Superoperators, Pauli basis and channel contraction</a> </li>\n",
    "</ul>\n",
    "\n",
    "<h4 id=\"visualizations\">Visualization</h4>\n",
    "<ul>\n",
    "<li> <a href=\"examples/visualization-exposition.ipynb\">Visualization demos</a> </li>\n",
    "<li> <a href=\"examples/energy-levels.ipynb\">Energy-level diagrams</a> </li>\n",
    "<li> <a href=\"examples/bloch-sphere-animation.ipynb\">Bloch-sphere animation</a> </li>\n",
    "<li> <a href=\"examples/bloch_sphere_with_colorbar.ipynb\">Bloch sphere with colorbar</a> </li>\n",
    "<li> <a href=\"examples/JC-model-wigner-function.ipynb\">Wigner functions</a> </li>\n",
    "<li> <a href=\"examples/pseudo-probability-functions.ipynb\">Pseudo-probability functions</a> </li>\n",
    "<li> <a href=\"examples/quantum-process-tomography.ipynb\">Process tomography</a> </li>\n",
    "<li> <a href=\"examples/qubism-and-schmidt-plots.ipynb\">Qubism visualizations</a> </li>\n",
    "</ul>\n",
    "\n",
    "<h4 id=\"quantum-information-processing\">Quantum information processing</h4>\n",
    "<p>This section requires an additional package <a href='https://github.com/qutip/qutip-qip'>qutip-qip</a>.</p>\n",
    "<h5 id=\"quantum-circuits\">Quantum circuits</h5>\n",
    "<ul>\n",
    "<li> <a href=\"examples/quantum-gates.ipynb\">Quantum gates and circuits</a> </li>\n",
    "<li> <a href=\"examples/qip-toffoli-cnot.ipynb\">Toffoli gate to CNOT</a> </li>\n",
    "<li> <a href=\"examples/qasm.ipynb\">Importing and exporting QASM circuits</a> </li>\n",
    "<li> <a href=\"examples/teleportation.ipynb\">Quantum teleportation</a> </li>\n",
    "</ul>\n",
    "\n",
    "<h5 id=\"nisq\">Pulse-level circuit simulation</h5>\n",
    "<ul>\n",
    "<li> <a href=\"examples/qip-noisy-device-simulator.ipynb\">The noisy quantum device simulator</a> </li>\n",
    "<li> <a href=\"examples/qip-processor-DJ-algorithm.ipynb\">Simulating the Deutsch–Jozsa algorithm with noise</a> </li>\n",
    "<li> <a href=\"examples/qip-customize-device.ipynb\">Simulating custom devices</a> </li>\n",
    "<li> <a href=\"examples/qip-optpulseprocessor.ipynb\">Optimal pulse processor</a> </li>\n",
    "<li> <a href=\"examples/qip-scheduler.ipynb\">The pulse scheduler</a> </li>\n",
    "\n",
    "\n",
    "\n",
    "</ul>\n",
    "\n",
    "\n",
    "</div>\n",
    "\n",
    "<div class=\"col-md-6\">\n",
    "\n",
    "<h4 id=\"time-evolution\">Time evolution</h4>\n",
    "<ul>\n",
    "<li> <a href=\"examples/qobjevo.ipynb\">The <code>QobjEvo</code> class for optimised time-dependence</a> </li>\n",
    "<li> <a href=\"examples/qubit-dynamics.ipynb\">Master equation solver: Qubit dynamics</a> </li>\n",
    "<li> <a href=\"examples/rabi-oscillations.ipynb\">Master equation solver: Vacuum Rabi oscillations</a> </li>\n",
    "<li> <a href=\"examples/spin-chain.ipynb\">Master equation solver: Spin chain</a> </li>\n",
    "<li> <a href=\"examples/trilinear.ipynb\">Monte-Carlo solver: Trilinear oscillators</a> </li>\n",
    "<li> <a href=\"examples/photon_birth_death.ipynb\">Monte-Carlo solver: Birth and death of photons in a cavity</a> </li>\n",
    "<li> <a href=\"examples/brmesolve.ipynb\">Bloch-Redfield master equation solver</a> </li>\n",
    "<li> <a href=\"examples/brmesolve-time-dependent-Liouvillian.ipynb\">Time-dependent Bloch-Redfield quantum dot</a> </li>\n",
    "<li> <a href=\"examples/floquet-dynamics.ipynb\">Floquet formalism</a> </li>\n",
    "<li> <a href=\"examples/quasi-steadystate-driven-system.ipynb\">Quasi-steadystate of time-dependent (periodic) systems</a> </li>\n",
    "<li> <a href=\"examples/landau-zener.ipynb\">Time-dependent master equation: Landau-Zener transitions</a> </li>\n",
    "<li> <a href=\"examples/landau-zener-stuckelberg.ipynb\">Time-dependent master equation: Landau-Zener-Stuckelberg inteferometry</a> </li>\n",
    "<li> <a href=\"examples/smesolve-heterodyne.ipynb\">Stochastic master equation: Heterodyne detection</a> </li>\n",
    "<li> <a href=\"examples/smesolve-inefficient-detection.ipynb\">Stochastic master equation: Inefficient detection</a> </li>\n",
    "<li> <a href=\"examples/smesolve-jc-photocurrent.ipynb\">Stochastic master equation: Jaynes-Cummings model with photocurrent detection</a> </li>\n",
    "<li> <a href=\"examples/optomechanical-steadystate.ipynb\">Steady state solvers: Optomechanical system</a> </li>\n",
    "<li> <a href=\"examples/homodyned-Jaynes-Cummings-emission.ipynb\">Homodyned Jaynes-Cummings emission</a> </li>\n",
    "<li> <a href=\"examples/measures-trajectories-cats-kerr.ipynb\">Monte-Carlo vs stochastic trajectories: Cat states become coherent states</a> </li>\n",
    "</ul>\n",
    "\n",
    "\n",
    "<h4 id=\"optimal-control\">Optimal control</h4>\n",
    "<ul>\n",
    "<li> <a href=\"examples/optimal-control-overview.ipynb\">Overview</a> </li>\n",
    "<li> <a href=\"examples/control-pulseoptim-Hadamard.ipynb\">Hadamard</a> </li>\n",
    "<li> <a href=\"examples/control-pulseoptim-QFT.ipynb\">QFT</a> </li>\n",
    "<li> <a href=\"examples/control-pulseoptim-Lindbladian.ipynb\">Lindbladian</a> </li>\n",
    "<li> <a href=\"examples/control-pulseoptim-symplectic.ipynb\">Symplectic</a> </li>\n",
    "<li> <a href=\"examples/control-pulseoptim-CRAB-QFT.ipynb\">QFT (CRAB)</a> </li>\n",
    "<li> <a href=\"examples/control-pulseoptim-CRAB-2qubitInerac.ipynb\">State to state (CRAB)</a> </li>\n",
    "<li> <a href=\"examples/control-grape-cnot.ipynb\">CNOT</a> </li>\n",
    "<li> <a href=\"examples/control-grape-iswap.ipynb\">iSWAP</a> </li>\n",
    "<li> <a href=\"examples/control-grape-single-qubit-rotation.ipynb\">Single-qubit rotation</a> </li>\n",
    "<li> <a href=\"examples/control-grape-toffoli.ipynb\">Toffoli gate</a> </li>\n",
    "</ul>\n",
    "    \n",
    "<h4 id=\"tomography\">Tomography</h4>\n",
    "<ul>\n",
    "<li> <a href=\"examples/tomography-iMLE-photon-counting.ipynb\">Density matrix estimation with iterative maximum likelihood estimation</a> </li>\n",
    "</ul>\n",
    "</div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<div class=\"row\">\n",
    "<div class=\"col-md-12\">\n",
    "<h4 id=\"piqs\">Permutational invariant Lindblad dynamics</h4>\n",
    "<ul>\n",
    "<li> <a href=\"examples/piqs-overview.ipynb\">Overview</a> </li>\n",
    "<li> <a href=\"examples/piqs-superradiant-light-emission.ipynb\">Superradiant light emission</a> </li>\n",
    "<li> <a href=\"examples/piqs-steadystate-superradiance.ipynb\">Steady state superradiance</a> </li>\n",
    "<li> <a href=\"examples/piqs-open-dicke-model.ipynb\">Open Dicke model</a> </li>\n",
    "<li> <a href=\"examples/piqs-spin-squeezing-noise.ipynb\">Spin squeezing with noise</a> </li>\n",
    "<li> <a href=\"examples/piqs-boundary-time-crystals.ipynb\">Boundary time crystals</a> </li>\n",
    "<li> <a href=\"examples/piqs-multiple-spin-ensembles.ipynb\">Multiple spin ensembles</a> </li>\n",
    "<li> <a href=\"examples/piqs-entropy_purity.ipynb\">Von Neumann entropy and purity</a> </li>\n",
    "\n",
    "</ul>\n",
    "</div>\n",
    "</div>\n",
    "\n",
    "\n",
    "<div class=\"row\">\n",
    "<div class=\"col-md-12\">\n",
    "<h3 id=\"development-nbs\">Development notebooks</h3>\n",
    "<p>A collection of more technical development notebooks, which often focus on\n",
    "testing and benchmarking various features of QuTiP, is available in\n",
    "<a href=\"development/index-development.ipynb\">the development index</a>.\n",
    "</p>\n",
    "\n",
    "</div>\n",
    "</div>"
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