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

.. py:module:: toqito.rand.random_orthonormal_basis

.. autoapi-nested-parse::

   Generates a 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 \(d\).

   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 [@SE_1688950].

   .. rubric:: Examples

   To generate a random orthonormal basis of dimension \(4\),

   ```python exec="1" source="above"
   from toqito.rand import random_orthonormal_basis

   print(random_orthonormal_basis(4, is_real = True))
   ```

   It is also possible to add a seed for reproducibility.

   ```python exec="1" source="above"
   from toqito.rand import random_orthonormal_basis

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

   :param dim: Number of elements in the random orthonormal basis.
   :param is_real: Bool
   :param seed: A seed used to instantiate numpy's random number generator.