.. _qpu_index_examples_beginner:

==================
Basic QPU Examples
==================

..  toctree::
    :maxdepth: 1
    :hidden:

    example_sat_unconstrained
    example_sat_constrained
    example_min_vertex
    example_not
    example_and
    example_multigate
    example_scheduling
    example_mapcoloring

.. grid:: 3
    :gutter: 2

    .. grid-item-card:: :ref:`qpu_example_sat_unconstrained`
        :link: qpu_example_sat_unconstrained
        :link-type: ref

        Describes the mathematical formulation of an objective function for a
        simple, *unconstrained* problem.

    .. grid-item-card:: :ref:`qpu_example_sat_constrained`
        :link: qpu_example_sat_constrained
        :link-type: ref

        Describes the end-to-end process of solving a simple, constrained
        problem on a quantum computer.

    .. grid-item-card:: :ref:`qpu_example_min_vertex`
        :link: qpu_example_min_vertex
        :link-type: ref

        Submits to a quantum computer a common graph problem formulated with
        Ocean software.

    .. grid-item-card:: :ref:`qpu_example_not`
        :link: qpu_example_not
        :link-type: ref

        Mathematically formulates a simple QUBO.

    .. grid-item-card:: :ref:`qpu_example_and`
        :link: qpu_example_and
        :link-type: ref

        Explains and demonstrates minor embedding on the QPU using chains.

    .. grid-item-card:: :ref:`qpu_example_multigate`
        :link: qpu_example_multigate
        :link-type: ref

        Looks at various minor-embedding techniques and results.

    .. grid-item-card:: :ref:`qpu_example_scheduling`
        :link: qpu_example_scheduling
        :link-type: ref

        Solves a small constraint satisfaction problem formulated with
        penalties.

    .. grid-item-card:: :ref:`qpu_example_mapcoloring`
        :link: qpu_example_mapcoloring
        :link-type: ref

        Solves a more complex constraint satisfaction problem by formulating
        penalties.

Additional Examples
===================

For additional and more advanced examples, see the
:ref:`qpu_index_examples_advanced` section.