qics.quantum.random.unitary¶

qics.quantum.random.unitary(n, iscomplex=False)[source]¶

Generate a random unitary matrix, i.e., matrix \(U\) satisfying \(U^\dagger U = UU^\dagger = \mathbb{I}\), uniformly distributed on Haar measure.

Parameters:

nint: Dimension of random unitary matrix \(U\).
iscomplexbool, optional: Whether the unitary matrix is real (False) or complex (True). The default is False.

Returns:

ndarray: Random unitary matrix of dimension (n, n).

Notes

See [1] for additional details.

[1]

Meckes, E. (2013) “Random Unitary Matrices and Friends”. https://case.edu/artsci/math/esmeckes/Meckes_SAMSI_Lecture2.pdf