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<h1>Welcome to the Krotov package’s documentation!<a class="headerlink" href="#welcome-to-the-krotov-package-s-documentation" title="Permalink to this headline">¶</a></h1>
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<li class="toctree-l1"><a class="reference internal" href="01_overview.html">Krotov Python Package</a><ul>
<li class="toctree-l2"><a class="reference internal" href="01_overview.html#purpose">Purpose</a></li>
<li class="toctree-l2"><a class="reference internal" href="01_overview.html#prerequisites">Prerequisites</a></li>
<li class="toctree-l2"><a class="reference internal" href="01_overview.html#installation">Installation</a></li>
<li class="toctree-l2"><a class="reference internal" href="01_overview.html#usage">Usage</a></li>
<li class="toctree-l2"><a class="reference internal" href="01_overview.html#citing-the-krotov-package">Citing the Krotov Package</a></li>
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<li class="toctree-l1"><a class="reference internal" href="02_contributing.html">Contributing</a><ul>
<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#code-of-conduct">Code of Conduct</a></li>
<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#report-bugs">Report Bugs</a></li>
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<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#development-prerequisites">Development Prerequisites</a></li>
<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#branching-model">Branching Model</a></li>
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<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#contribute-examples">Contribute Examples</a></li>
<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#versioning">Versioning</a></li>
<li class="toctree-l2"><a class="reference internal" href="02_contributing.html#developers-how-tos">Developers’ How-Tos</a></li>
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<li class="toctree-l1"><a class="reference internal" href="03_authors.html">Credits</a><ul>
<li class="toctree-l2"><a class="reference internal" href="03_authors.html#development-lead">Development Lead</a></li>
<li class="toctree-l2"><a class="reference internal" href="03_authors.html#development-team">Development Team</a></li>
<li class="toctree-l2"><a class="reference internal" href="03_authors.html#acknowledgements">Acknowledgements</a></li>
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<li class="toctree-l1"><a class="reference internal" href="04_features.html">Features</a></li>
<li class="toctree-l1"><a class="reference internal" href="05_history.html">History</a><ul>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id1">1.0.0 (2019-12-16)</a></li>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id2">0.5.0 (2019-12-04)</a></li>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id3">0.4.1 (2019-10-11)</a></li>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id4">0.4.0 (2019-10-08)</a></li>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id5">0.3.0 (2019-03-01)</a></li>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id6">0.2.0 (2019-02-14)</a></li>
<li class="toctree-l2"><a class="reference internal" href="05_history.html#id7">0.1.0 (2018-12-24)</a></li>
</ul>
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<li class="toctree-l1"><a class="reference internal" href="06_introduction.html">Introduction</a></li>
<li class="toctree-l1"><a class="reference internal" href="07_krotovs_method.html">Krotov’s Method</a><ul>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#the-quantum-control-problem">The quantum control problem</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#optimization-functional">Optimization functional</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#iterative-control-update">Iterative control update</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#first-order-update">First order update</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#second-order-update">Second order update</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#time-discretization">Time discretization</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#pseudocode">Pseudocode</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#choice-of-a">Choice of λₐ</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#complex-controls-and-the-rwa">Complex controls and the RWA</a></li>
<li class="toctree-l2"><a class="reference internal" href="07_krotovs_method.html#optimization-in-liouville-space">Optimization in Liouville space</a></li>
</ul>
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<li class="toctree-l1"><a class="reference internal" href="08_qutip_usage.html">Using Krotov with QuTiP</a></li>
<li class="toctree-l1"><a class="reference internal" href="09_examples.html">Examples</a><ul>
<li class="toctree-l2"><a class="reference internal" href="notebooks/01_example_simple_state_to_state.html">Optimization of a State-to-State Transfer in a Two-Level-System</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/02_example_lambda_system_rwa_complex_pulse.html">Optimization of a State-to-State Transfer in a Lambda System in the RWA</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/03_example_lambda_system_rwa_non_hermitian.html">Optimization of a Dissipative State-to-State Transfer in a Lambda System</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/04_example_dissipative_qubit_reset.html">Optimization of Dissipative Qubit Reset</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/05_example_transmon_xgate.html">Optimization of an X-Gate for a Transmon Qubit</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/06_example_3states.html">Optimization of a Dissipative Quantum Gate</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/07_example_PE.html">Optimization towards a Perfect Entangler</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/08_example_ensemble.html">Ensemble Optimization for Robust Pulses</a></li>
<li class="toctree-l2"><a class="reference internal" href="notebooks/09_example_numpy.html">Optimization with numpy Arrays</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="10_howto.html">How-Tos</a><ul>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-optimize-towards-a-quantum-gate">How to optimize towards a quantum gate</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-optimize-complex-valued-control-fields">How to optimize complex-valued control fields</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-use-args-in-time-dependent-control-fields">How to use <cite>args</cite> in time-dependent control fields</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-stop-the-optimization-when-the-error-crosses-some-threshold">How to stop the optimization when the error crosses some threshold</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-exclude-a-control-from-the-optimization">How to exclude a control from the optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-define-a-new-optimization-functional">How to define a new optimization functional</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-penalize-population-in-a-forbidden-subspace">How to penalize population in a forbidden subspace</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-optimize-towards-a-two-qubit-gate-up-to-single-qubit-corrections">How to optimize towards a two-qubit gate up to single-qubit corrections</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-optimize-towards-an-arbitrary-perfect-entangler">How to optimize towards an arbitrary perfect entangler</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-optimize-in-a-dissipative-system">How to optimize in a dissipative system</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-optimize-for-robust-pulses">How to optimize for robust pulses</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-apply-spectral-constraints">How to apply spectral constraints</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-limit-the-amplitude-of-the-controls">How to limit the amplitude of the controls</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-parallelize-the-optimization">How to parallelize the optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-prevent-losing-an-optimization-result">How to prevent losing an optimization result</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-continue-from-a-previous-optimization">How to continue from a previous optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-maximize-numerical-efficiency">How to maximize numerical efficiency</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-deal-with-the-optimization-running-out-of-memory">How to deal with the optimization running out of memory</a></li>
<li class="toctree-l2"><a class="reference internal" href="10_howto.html#how-to-avoid-the-overhead-of-qutip-objects">How to avoid the overhead of QuTiP objects</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="11_other_methods.html">Other Optimization Methods</a><ul>
<li class="toctree-l2"><a class="reference internal" href="11_other_methods.html#iterative-schemes-from-variational-calculus">Iterative schemes from variational calculus</a></li>
<li class="toctree-l2"><a class="reference internal" href="11_other_methods.html#krotov-s-method">Krotov’s method</a></li>
<li class="toctree-l2"><a class="reference internal" href="11_other_methods.html#gradient-ascent-pulse-engineering-grape">GRadient Ascent Pulse Engineering (GRAPE)</a></li>
<li class="toctree-l2"><a class="reference internal" href="11_other_methods.html#grape-in-qutip">GRAPE in QuTiP</a></li>
<li class="toctree-l2"><a class="reference internal" href="11_other_methods.html#gradient-free-optimization">Gradient-free optimization</a></li>
<li class="toctree-l2"><a class="reference internal" href="11_other_methods.html#choosing-an-optimization-method">Choosing an optimization method</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="12_related_software.html">Related Software</a><ul>
<li class="toctree-l2"><a class="reference internal" href="12_related_software.html#other-implementations-of-quantum-control">Other implementations of quantum control</a></li>
<li class="toctree-l2"><a class="reference internal" href="12_related_software.html#accessories">Accessories</a></li>
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<li class="toctree-l1"><a class="reference internal" href="99_bibliography.html">References</a></li>
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<div class="section" id="api">
<h1>API<a class="headerlink" href="#api" title="Permalink to this headline">¶</a></h1>
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<li class="toctree-l1"><a class="reference internal" href="API/krotov.html">API of the Krotov package</a></li>
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<div class="section" id="indices-and-tables">
<h1>Indices and tables<a class="headerlink" href="#indices-and-tables" title="Permalink to this headline">¶</a></h1>
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