channel_ops.natural_representation¶

Kraus operators to natural representation.

Functions¶

natural_representation(kraus_ops)

Convert a set of Kraus operators to the natural representation of a quantum channel.

Module Contents¶

channel_ops.natural_representation.natural_representation(kraus_ops)¶

Convert a set of Kraus operators to the natural representation of a quantum channel.

The natural representation of a quantum channel is given by: \(\Phi = \sum_i K_i \otimes K_i^*\) where \(K_i^*\) is the complex conjugate of \(K_i\).

Examples

>>> import numpy as np
>>> from toqito.channel_ops import natural_representation
>>> k0 = np.sqrt(1/2) * np.array([[1, 0], [0, 1]])
>>> k1 = np.sqrt(1/2) * np.array([[0, 1], [1, 0]])
>>> print(natural_representation([k0, k1]))
[[0.5 0.  0.  0.5]
 [0.  0.5 0.5 0. ]
 [0.  0.5 0.5 0. ]
 [0.5 0.  0.  0.5]]

Parameters:: kraus_ops (list[numpy.ndarray])
Return type:: numpy.ndarray