:orphan:

Graphix examples
================

Here are a few examples of MBQC programming and simulation using graphix library.



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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we decompose a graph state into a set of GHZ and linear cluster resource states, such that fusion operations can be used on these &#x27;micro-resource&#x27; states to obtain the desired graph state. This is an important compilation stage to perform MBQC on discrete-variable optical QPUs.">

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  .. image:: /gallery/images/thumb/sphx_glr_fusion_extraction_thumb.png
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  :ref:`sphx_glr_gallery_fusion_extraction.py`

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      <div class="sphx-glr-thumbnail-title">Designing fusion network to generate resource graph state</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we simulate a circuit to create Greenberger-Horne-Zeilinger(GHZ) state with a tensor network simulator.">

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  .. image:: /gallery/images/thumb/sphx_glr_ghz_with_tn_thumb.png
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  :ref:`sphx_glr_gallery_ghz_with_tn.py`

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      <div class="sphx-glr-thumbnail-title">Using Tensor Network simulator</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Here we generate and optimize pattern for QAOA circuit.">

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  .. image:: /gallery/images/thumb/sphx_glr_qaoa_thumb.png
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  :ref:`sphx_glr_gallery_qaoa.py`

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      <div class="sphx-glr-thumbnail-title">QAOA</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Here, we show a most basic MBQC proramming using graphix library. In this example, we consider trivial problem of the rotation of two qubits in |0&gt; states. We show how transpiler (~graphix.transpiler.Circuit class) can be used, and show the resulting meausrement pattern.">

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  .. image:: /gallery/images/thumb/sphx_glr_rotation_thumb.png
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  :ref:`sphx_glr_gallery_rotation.py`

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      <div class="sphx-glr-thumbnail-title">Simple example & visualizing graphs</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we implement the Deutsch-Jozsa algorithm which determines whether a function is balanced or constant. Since this algorithm is written only with Clifford gates, we can expect the preprocessing of Clifford gates would significantly improve the MBQC pattern simulation. You can find nice description of the algorithm here.">

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  .. image:: /gallery/images/thumb/sphx_glr_deutsch_jozsa_thumb.png
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  :ref:`sphx_glr_gallery_deutsch_jozsa.py`

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      <div class="sphx-glr-thumbnail-title">Preprocessing Clifford gates</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we demonstrate simulation of MBQC involving 10k+ nodes.">

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  .. image:: /gallery/images/thumb/sphx_glr_qft_with_tn_thumb.png
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  :ref:`sphx_glr_gallery_qft_with_tn.py`

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      <div class="sphx-glr-thumbnail-title">Large-scale simulations with tensor network simulator</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="GraphVisualizer tool offers a wide selection of visualization methods for inspecting the causal structure of the graph associated with the pattern, graph or the (generalized-)flow.">

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  .. image:: /gallery/images/thumb/sphx_glr_visualization_thumb.png
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  :ref:`sphx_glr_gallery_visualization.py`

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      <div class="sphx-glr-thumbnail-title">Visualizing the patterns and flows</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we solve a simple VQE problem using a measurement-based quantum computing (MBQC) approach. The Hamiltonian for the system is given by:">

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  .. image:: /gallery/images/thumb/sphx_glr_mbqc_vqe_thumb.png
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  :ref:`sphx_glr_gallery_mbqc_vqe.py`

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      <div class="sphx-glr-thumbnail-title">Variational Quantum Eigensolver (VQE) with Measurement-Based Quantum Computing (MBQC)</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we will illustrate the usage and application of TN simulation of MBQC.">

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  .. image:: /gallery/images/thumb/sphx_glr_tn_simulation_thumb.png
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  :ref:`sphx_glr_gallery_tn_simulation.py`

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      <div class="sphx-glr-thumbnail-title">Usage and application of tensor network simulations</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /gallery/fusion_extraction
   /gallery/ghz_with_tn
   /gallery/qaoa
   /gallery/rotation
   /gallery/deutsch_jozsa
   /gallery/qft_with_tn
   /gallery/visualization
   /gallery/mbqc_vqe
   /gallery/tn_simulation


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  .. container:: sphx-glr-footer sphx-glr-footer-gallery

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: gallery_python.zip </gallery/gallery_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: gallery_jupyter.zip </gallery/gallery_jupyter.zip>`


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

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