#!/usr/bin/env python
# coding: utf-8

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# <h1>Index</h1><br>
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# 
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# <p>This index contains our collection of <a href="http://jupyter.org/">Jupyter</a> notebooks
# for introducing and demonstrating features of QuTiP.
# Going through these notebooks should be a good way to get familiarized with the software.
# If you are new to scientific computing with Python, you might also find it
# useful to have a look at these IPython notebook
# <a href="http://jrjohansson.github.io/">Lectures on scientific computing with Python</a>.
# </p>
# <p>The following are the contents of this page:</p>
# <ul>
# <li><a href="#example-notebooks">Example notebooks</a>
# 	<ul>
# 	<li><a href="#python-introduction">Python Introduction</a></li>
# 	<li><a href="#basics">Basics</a></li>
# 	<li><a href="#visualizations">Visualization</a></li>
# 	<li><a href="#quantum-information-processing">Quantum information processing</a></li>
# 	<ul>
# 	<li><a href="#quantum-circuits">Quantum circuits and algorithms</a></li>
# 	<li><a href="#nisq">Noisy quantum devices</a></li>
# 	</ul>
# 	<li><a href="#time-evolution">Time evolution</a></li>
# 	<li><a href="#optimal-control">Optimal control</a></li>
# 	<li><a href="#piqs">Permutational invariant Lindblad dynamics</a></li>
# 	</ul>
# </li>
# <li><a href="#development-nbs">Development notebooks</a></li>
# </ul>
# </div>
# </div>
# 
# 
# <div class="row">
# <div class="col-md-12">
# <h3 id="example-notebooks">Example notebooks</h3>
# </div>
# </div>
# 
# <div class="row">
# <div class="col-md-12">
# <p>These notebooks demonstrate and introduce specific functionality in QuTiP.
# </p>
# 
# </div>
# </div>
# 
# <div class="row">
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# <h4 id="python-introduction">Python Introduction</h4>
# <ul>
# <li><a href="python/Beginning_Python.ipynb">Quick introduction to Python</a></li>
# <li><a href="python/NumPy_Array_Basics.ipynb">Overview of NumPy Arrays</a></li>
# <li><a href="python/Matplotlib_Plotting.ipynb">Brief introduction to Matplotlib</a></li>
# </ul>
# <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>
# 
# <h4 id="basics">Basics</h4>
# <ul>
# <li> <a href="examples/eseries.ipynb">Exponential series</a> </li>
# <li> <a href="examples/ultrastrong-coupling-groundstate.ipynb">Groundstates: Jaynes-Cummings model in the ultrastrong coupling regime</a> </li>
# <li> <a href="examples/superop-contract.ipynb">Superoperators, Pauli basis and channel contraction</a> </li>
# </ul>
# 
# <h4 id="visualizations">Visualization</h4>
# <ul>
# <li> <a href="examples/visualization-exposition.ipynb">Visualization demos</a> </li>
# <li> <a href="examples/energy-levels.ipynb">Energy-level diagrams</a> </li>
# <li> <a href="examples/bloch-sphere-animation.ipynb">Bloch-sphere animation</a> </li>
# <li> <a href="examples/bloch_sphere_with_colorbar.ipynb">Bloch sphere with colorbar</a> </li>
# <li> <a href="examples/JC-model-wigner-function.ipynb">Wigner functions</a> </li>
# <li> <a href="examples/pseudo-probability-functions.ipynb">Pseudo-probability functions</a> </li>
# <li> <a href="examples/quantum-process-tomography.ipynb">Process tomography</a> </li>
# <li> <a href="examples/qubism-and-schmidt-plots.ipynb">Qubism visualizations</a> </li>
# </ul>
# 
# <h4 id="quantum-information-processing">Quantum information processing</h4>
# <p>This section requires an additional package <a href='https://github.com/qutip/qutip-qip'>qutip-qip</a>.</p>
# <h5 id="quantum-circuits">Quantum circuits</h5>
# <ul>
# <li> <a href="examples/quantum-gates.ipynb">Quantum gates and circuits</a> </li>
# <li> <a href="examples/qip-toffoli-cnot.ipynb">Toffoli gate to CNOT</a> </li>
# <li> <a href="examples/qasm.ipynb">Importing and exporting QASM circuits</a> </li>
# <li> <a href="examples/teleportation.ipynb">Quantum teleportation</a> </li>
# </ul>
# 
# <h5 id="nisq">Pulse-level circuit simulation</h5>
# <ul>
# <li> <a href="examples/qip-noisy-device-simulator.ipynb">The noisy quantum device simulator</a> </li>
# <li> <a href="examples/qip-processor-DJ-algorithm.ipynb">Simulating the Deutsch–Jozsa algorithm with noise</a> </li>
# <li> <a href="examples/qip-customize-device.ipynb">Simulating custom devices</a> </li>
# <li> <a href="examples/qip-optpulseprocessor.ipynb">Optimal pulse processor</a> </li>
# <li> <a href="examples/qip-scheduler.ipynb">The pulse scheduler</a> </li>
# 
# 
# 
# </ul>
# 
# 
# </div>
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# 
# <h4 id="time-evolution">Time evolution</h4>
# <ul>
# <li> <a href="examples/qobjevo.ipynb">The <code>QobjEvo</code> class for optimised time-dependence</a> </li>
# <li> <a href="examples/qubit-dynamics.ipynb">Master equation solver: Qubit dynamics</a> </li>
# <li> <a href="examples/rabi-oscillations.ipynb">Master equation solver: Vacuum Rabi oscillations</a> </li>
# <li> <a href="examples/spin-chain.ipynb">Master equation solver: Spin chain</a> </li>
# <li> <a href="examples/trilinear.ipynb">Monte-Carlo solver: Trilinear oscillators</a> </li>
# <li> <a href="examples/photon_birth_death.ipynb">Monte-Carlo solver: Birth and death of photons in a cavity</a> </li>
# <li> <a href="examples/brmesolve.ipynb">Bloch-Redfield master equation solver</a> </li>
# <li> <a href="examples/brmesolve-time-dependent-Liouvillian.ipynb">Time-dependent Bloch-Redfield quantum dot</a> </li>
# <li> <a href="examples/floquet-dynamics.ipynb">Floquet formalism</a> </li>
# <li> <a href="examples/quasi-steadystate-driven-system.ipynb">Quasi-steadystate of time-dependent (periodic) systems</a> </li>
# <li> <a href="examples/landau-zener.ipynb">Time-dependent master equation: Landau-Zener transitions</a> </li>
# <li> <a href="examples/landau-zener-stuckelberg.ipynb">Time-dependent master equation: Landau-Zener-Stuckelberg inteferometry</a> </li>
# <li> <a href="examples/smesolve-heterodyne.ipynb">Stochastic master equation: Heterodyne detection</a> </li>
# <li> <a href="examples/smesolve-inefficient-detection.ipynb">Stochastic master equation: Inefficient detection</a> </li>
# <li> <a href="examples/smesolve-jc-photocurrent.ipynb">Stochastic master equation: Jaynes-Cummings model with photocurrent detection</a> </li>
# <li> <a href="examples/optomechanical-steadystate.ipynb">Steady state solvers: Optomechanical system</a> </li>
# <li> <a href="examples/homodyned-Jaynes-Cummings-emission.ipynb">Homodyned Jaynes-Cummings emission</a> </li>
# <li> <a href="examples/measures-trajectories-cats-kerr.ipynb">Monte-Carlo vs stochastic trajectories: Cat states become coherent states</a> </li>
# </ul>
# 
# 
# <h4 id="optimal-control">Optimal control</h4>
# <ul>
# <li> <a href="examples/optimal-control-overview.ipynb">Overview</a> </li>
# <li> <a href="examples/control-pulseoptim-Hadamard.ipynb">Hadamard</a> </li>
# <li> <a href="examples/control-pulseoptim-QFT.ipynb">QFT</a> </li>
# <li> <a href="examples/control-pulseoptim-Lindbladian.ipynb">Lindbladian</a> </li>
# <li> <a href="examples/control-pulseoptim-symplectic.ipynb">Symplectic</a> </li>
# <li> <a href="examples/control-pulseoptim-CRAB-QFT.ipynb">QFT (CRAB)</a> </li>
# <li> <a href="examples/control-pulseoptim-CRAB-2qubitInerac.ipynb">State to state (CRAB)</a> </li>
# <li> <a href="examples/control-grape-cnot.ipynb">CNOT</a> </li>
# <li> <a href="examples/control-grape-iswap.ipynb">iSWAP</a> </li>
# <li> <a href="examples/control-grape-single-qubit-rotation.ipynb">Single-qubit rotation</a> </li>
# <li> <a href="examples/control-grape-toffoli.ipynb">Toffoli gate</a> </li>
# </ul>
#     
# <h4 id="tomography">Tomography</h4>
# <ul>
# <li> <a href="examples/tomography-iMLE-photon-counting.ipynb">Density matrix estimation with iterative maximum likelihood estimation</a> </li>
# </ul>
# </div>
# </div>
# 
# 
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# <h4 id="piqs">Permutational invariant Lindblad dynamics</h4>
# <ul>
# <li> <a href="examples/piqs-overview.ipynb">Overview</a> </li>
# <li> <a href="examples/piqs-superradiant-light-emission.ipynb">Superradiant light emission</a> </li>
# <li> <a href="examples/piqs-steadystate-superradiance.ipynb">Steady state superradiance</a> </li>
# <li> <a href="examples/piqs-open-dicke-model.ipynb">Open Dicke model</a> </li>
# <li> <a href="examples/piqs-spin-squeezing-noise.ipynb">Spin squeezing with noise</a> </li>
# <li> <a href="examples/piqs-boundary-time-crystals.ipynb">Boundary time crystals</a> </li>
# <li> <a href="examples/piqs-multiple-spin-ensembles.ipynb">Multiple spin ensembles</a> </li>
# <li> <a href="examples/piqs-entropy_purity.ipynb">Von Neumann entropy and purity</a> </li>
# 
# </ul>
# </div>
# </div>
# 
# 
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# <h3 id="development-nbs">Development notebooks</h3>
# <p>A collection of more technical development notebooks, which often focus on
# testing and benchmarking various features of QuTiP, is available in
# <a href="development/index-development.ipynb">the development index</a>.
# </p>
# 
# </div>
# </div>

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