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<div class="section" id="qutip-quantum-toolbox-in-python-3-1-0">
<h1>QuTiP: Quantum Toolbox in Python (3.1.0)<a class="headerlink" href="#qutip-quantum-toolbox-in-python-3-1-0" title="Permalink to this headline">¶</a></h1>
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<li class="toctree-l1"><a class="reference internal" href="frontmatter.html">Frontmatter</a><ul>
<li class="toctree-l2"><a class="reference internal" href="frontmatter.html#about-this-documentation">About This Documentation</a></li>
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<li class="toctree-l2"><a class="reference internal" href="frontmatter.html#about-qutip">About QuTiP</a></li>
<li class="toctree-l2"><a class="reference internal" href="frontmatter.html#contributing-to-qutip">Contributing to QuTiP</a></li>
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<li class="toctree-l1"><a class="reference internal" href="installation.html">Installation</a><ul>
<li class="toctree-l2"><a class="reference internal" href="installation.html#general-requirements">General Requirements</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-basics.html">Basic Operations on Quantum Objects</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-basics.html#first-things-first">First things first</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-basics.html#the-quantum-object-class">The quantum object class</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-basics.html#functions-operating-on-qobj-class">Functions operating on Qobj class</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-states.html">Manipulating States and Operators</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-states.html#introduction">Introduction</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-states.html#state-vectors-kets-or-bras">State Vectors (kets or bras)</a></li>
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<li class="toctree-l3"><a class="reference internal" href="guide/guide-states.html#superoperators-and-vectorized-operators">Superoperators and Vectorized Operators</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-tensor.html">Using Tensor Products and Partial Traces</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-tensor.html#tensor-products">Tensor products</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-tensor.html#example-constructing-composite-hamiltonians">Example: Constructing composite Hamiltonians</a></li>
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<li class="toctree-l3"><a class="reference internal" href="guide/guide-tensor.html#superoperators-and-tensor-manipulations">Superoperators and Tensor Manipulations</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-dynamics.html">Time Evolution and Quantum System Dynamics</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-data.html">Dynamics Simulation Results</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-master.html">Lindblad Master Equation Solver</a></li>
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<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-bloch-redfield.html">Bloch-Redfield master equation</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-time.html">Solving Problems with Time-dependent Hamiltonians</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-floquet.html">Floquet Formalism</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-options.html">Setting Options for the Dynamics Solvers</a></li>
</ul>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-steady.html">Solving for Steady-State Solutions</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-steady.html#introduction">Introduction</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-steady.html#steady-state-solutions-for-arbitrary-systems">Steady State Solutions for Arbitrary Systems</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-steady.html#steady-state-solvers-in-qutip">Steady State solvers in QuTiP</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-steady.html#using-the-steadystate-solver">Using the Steadystate Solver</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-steady.html#additional-solver-arguments">Additional Solver Arguments</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-steady.html#example-harmonic-oscillator-in-thermal-bath">Example: Harmonic Oscillator in Thermal Bath</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="guide/guide-eseries.html">An Overview of the Eseries Class</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-eseries.html#exponential-series-representation-of-time-dependent-quantum-objects">Exponential-series representation of time-dependent quantum objects</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-eseries.html#applications-of-exponential-series">Applications of exponential series</a></li>
</ul>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-correlation.html">Two-time correlation functions</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-correlation.html#steadystate-correlation-function">Steadystate correlation function</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-correlation.html#emission-spectrum">Emission spectrum</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-correlation.html#non-steadystate-correlation-function">Non-steadystate correlation function</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-bloch.html">Plotting on the Bloch Sphere</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-bloch.html#introduction">Introduction</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-bloch.html#the-bloch-and-bloch3d-classes">The Bloch and Bloch3d Classes</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-bloch.html#configuring-the-bloch-sphere">Configuring the Bloch sphere</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-bloch.html#animating-with-the-bloch-sphere">Animating with the Bloch sphere</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-visualization.html">Visualization of quantum states and processes</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-visualization.html#fock-basis-probability-distribution">Fock-basis probability distribution</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-visualization.html#quasi-probability-distributions">Quasi-probability distributions</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-visualization.html#visualizing-operators">Visualizing operators</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-visualization.html#quantum-process-tomography">Quantum process tomography</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-parfor.html">Parallel computation</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-parfor.html#parallel-map-and-parallel-for-loop">Parallel map and parallel for-loop</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-random.html">Generating Random Quantum States & Operators</a><ul>
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<li class="toctree-l1"><a class="reference internal" href="apidoc/apidoc.html">API documentation</a><ul>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-3-0-0-july-17-2014">Version 3.0.0 (July 17, 2014):</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id2">New Features</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-2-1-0-october-05-2012">Version 2.1.0 (October 05, 2012):</a><ul>
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<li class="toctree-l3"><a class="reference internal" href="changelog.html#id6">Bug Fixes:</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-2-0-0-june-01-2012">Version 2.0.0 (June 01, 2012):</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id7">New Features</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-1-1-4-may-28-2012">Version 1.1.4 (May 28, 2012):</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id8">Bug Fixes:</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-1-1-3-november-21-2011">Version 1.1.3 (November 21, 2011):</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#new-functions">New Functions:</a></li>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id9">Bug Fixes:</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-1-1-2-october-27-2011">Version 1.1.2 (October 27, 2011)</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id10">Bug Fixes</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-1-1-1-october-25-2011">Version 1.1.1 (October 25, 2011)</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id11">New Functions</a></li>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id12">Bug Fixes</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-1-1-0-october-04-2011">Version 1.1.0 (October 04, 2011)</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id13">New Functions</a></li>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#id14">Bug Fixes</a></li>
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<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-1-0-0-july-29-2011">Version 1.0.0 (July 29, 2011)</a></li>
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