rand.random_orthonormal_basis
=============================

.. py:module:: rand.random_orthonormal_basis

.. autoapi-nested-parse::

   Generates a random orthonormal basis.



Functions
---------

.. autoapisummary::

   rand.random_orthonormal_basis.random_orthonormal_basis


Module Contents
---------------

.. py:function:: random_orthonormal_basis(dim, is_real = False, seed = None)

   Generate a real random orthonormal basis of given dimension :math:`d`.

   The basis is generated from the columns of a random unitary matrix of the same dimension
   as the columns of a unitary matrix typically form an orthonormal basis :cite:`SE_1688950`.

   .. rubric:: Examples

   To generate a random orthonormal basis of dimension :math:`4`,

   .. jupyter-execute::

    from toqito.rand import random_orthonormal_basis

    random_orthonormal_basis(4, is_real = True)

   It is also possible to add a seed for reproducibility.

   .. jupyter-execute::

    from toqito.rand import random_orthonormal_basis

    random_orthonormal_basis(2, is_real=True, seed=42)

   .. rubric:: References

   .. bibliography::
       :filter: docname in docnames

   dim: int
       Number of elements in the random orthonormal basis.
   seed: int | None
       A seed used to instantiate numpy's random number generator.