:orphan:

Examples
=========

This gallery demonstrates how to utilize the functionality in :code:`|toqito⟩`. 

We use `sphinx-gallery <https://sphinx-gallery.github.io/stable/index.html>`_ to build this page. 




.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. thumbnail-parent-div-close

.. raw:: html

    </div>

Basic Tutorials
----------------


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Superdense Coding">

.. only:: html

  .. image:: /auto_examples/basics/images/thumb/sphx_glr_example_superdense_coding_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_basics_example_superdense_coding.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Superdense Coding</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This tutorial will illustrate the basics of how to use |toqito⟩. This will cover how to instantiate and use the fundamental objects that |toqito⟩ provides; namely quantum states, channels, and measurements.">

.. only:: html

  .. image:: /auto_examples/basics/images/thumb/sphx_glr_example_intro_tutorial_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_basics_example_intro_tutorial.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Introductory Tutorial</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>

Involving Quantum States
-------------------------


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this tutorial we are going to cover the problem of quantum state distinguishability (sometimes analogously referred to as quantum state discrimination). We are going to briefly describe the problem setting and then describe how one may use |toqito⟩ to calculate the optimal probability with which this problem can be solved when given access to certain measurements.">

.. only:: html

  .. image:: /auto_examples/involvingstates/images/thumb/sphx_glr_example_state_distinguishability_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_examples_involvingstates_example_state_distinguishability.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Quantum state distinguishability</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this tutorial, we are going to cover the problem of quantum state exclusion. We are going to briefly describe the problem setting and then describe how one may use |toqito⟩ to calculate the optimal probability with which this problem can be solved for a number of different scenarios.">

.. only:: html

  .. image:: /auto_examples/involvingstates/images/thumb/sphx_glr_example_state_exclusion_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_involvingstates_example_state_exclusion.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Quantum state exclusion</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>

Quantum Games
--------------


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this tutorial, we will cover the concept of an XOR game. We will also showcase how the |toqito⟩ software package can be used to calculate the classical and quantum value of a given XOR game.">

.. only:: html

  .. image:: /auto_examples/quantumgames/images/thumb/sphx_glr_example_xor_quantum_value_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_quantumgames_example_xor_quantum_value.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Calculating the quantum and classical value of a two-player XOR game</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this tutorial, we are going to cover the notion of a nonlocal game; a mathematical framework that abstractly models a physical system. The simplest instance of a nonlocal game involves two players, Alice and Bob, who are not allowed to communicate with each other once the game has started and who play cooperatively against an adversary referred to as the referee.">

.. only:: html

  .. image:: /auto_examples/quantumgames/images/thumb/sphx_glr_example_nonlocal_game_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_examples_quantumgames_example_nonlocal_game.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Nonlocal games</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="In this tutorial, we will define the concept of an extended nonlocal game. Extended nonlocal games are a more general abstraction of nonlocal games wherein the referee, who previously only provided questions and answers to the players, now share a state with the players and is able to perform a measurement on that shared state.">

.. only:: html

  .. image:: /auto_examples/quantumgames/images/thumb/sphx_glr_example_extended_nonlocal_games_thumb.svg
    :alt:

  :ref:`sphx_glr_auto_examples_quantumgames_example_extended_nonlocal_games.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Extended nonlocal games</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:
   :includehidden:


   /auto_examples/basics/index.rst
   /auto_examples/involvingstates/index.rst
   /auto_examples/quantumgames/index.rst



.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_