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<h1>QuTiP: Quantum Toolbox in Python (4.3)<a class="headerlink" href="#qutip-quantum-toolbox-in-python-4-3" title="Permalink to this headline">¶</a></h1>
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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>
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<li class="toctree-l3"><a class="reference internal" href="guide/guide-states.html#introduction">Introduction</a></li>
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<li class="toctree-l3"><a class="reference internal" href="guide/guide-states.html#expectation-values">Expectation values</a></li>
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<li class="toctree-l3"><a class="reference internal" href="guide/guide-states.html#properties-of-quantum-maps">Properties of Quantum Maps</a></li>
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<li class="toctree-l3"><a class="reference internal" href="guide/dynamics/dynamics-piqs.html">Permutational Invariance</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-steady.html">Solving for Steady-State Solutions</a><ul>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-eseries.html">An Overview of the Eseries Class</a><ul>
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<li class="toctree-l3"><a class="reference internal" href="guide/guide-eseries.html#applications-of-exponential-series">Applications of exponential series</a></li>
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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-control.html">Quantum Optimal Control</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-control.html#introduction">Introduction</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-control.html#closed-quantum-systems">Closed Quantum Systems</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-control.html#the-grape-algorithm">The GRAPE algorithm</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-control.html#the-crab-algorithm">The CRAB Algorithm</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-control.html#optimal-quantum-control-in-qutip">Optimal Quantum Control in QuTiP</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-control.html#using-the-pulseoptim-functions">Using the pulseoptim functions</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>
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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>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-parfor.html#ipython-based-parallel-map">IPython-based parallel_map</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-saving.html">Saving QuTiP Objects and Data Sets</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-saving.html#storing-and-loading-qutip-objects">Storing and loading QuTiP objects</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-saving.html#storing-and-loading-datasets">Storing and loading datasets</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>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-random.html#random-objects-with-a-given-eigen-spectrum">Random objects with a given eigen spectrum</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-random.html#composite-random-objects">Composite random objects</a></li>
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<li class="toctree-l2"><a class="reference internal" href="guide/guide-settings.html">Modifying Internal QuTiP Settings</a><ul>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-settings.html#user-accessible-parameters">User Accessible Parameters</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-settings.html#example-changing-settings">Example: Changing Settings</a></li>
<li class="toctree-l3"><a class="reference internal" href="guide/guide-settings.html#persistent-settings">Persistent Settings</a></li>
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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-l3"><a class="reference internal" href="apidoc/classes.html#bloch-sphere">Bloch sphere</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/classes.html#cubic-spline">Cubic Spline</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/classes.html#non-markovian-solvers">Non-Markovian Solvers</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/classes.html#solver-options-and-results">Solver Options and Results</a></li>
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<li class="toctree-l3"><a class="reference internal" href="apidoc/classes.html#quantum-information-processing">Quantum information processing</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/classes.html#optimal-control">Optimal control</a></li>
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<li class="toctree-l2"><a class="reference internal" href="apidoc/functions.html">Functions</a><ul>
<li class="toctree-l3"><a class="reference internal" href="apidoc/functions.html#manipulation-and-creation-of-states-and-operators">Manipulation and Creation of States and Operators</a></li>
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<li class="toctree-l3"><a class="reference internal" href="apidoc/functions.html#visualization">Visualization</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/functions.html#quantum-information-processing">Quantum Information Processing</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/functions.html#module-qutip.nonmarkov.transfertensor">non-Markovian Solvers</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/functions.html#module-qutip.control.pulseoptim">Optimal control</a></li>
<li class="toctree-l3"><a class="reference internal" href="apidoc/functions.html#utility-functions">Utility Functions</a></li>
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<li class="toctree-l1"><a class="reference internal" href="changelog.html">Change Log</a><ul>
<li class="toctree-l2"><a class="reference internal" href="changelog.html#version-4-3-0-july-14-2018">Version 4.3.0 (July 14, 2018)</a><ul>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#improvements">Improvements</a></li>
<li class="toctree-l3"><a class="reference internal" href="changelog.html#bug-fixes">Bug Fixes</a></li>
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