Generalization of Pauli channels through mutually unbiased measurements

Abstract

We introduce a new generalization of the Pauli channels using the mutually unbiased measurement operators. The resulting channels are bistochastic but their eigenvectors are not unitary. We analyze the channel properties, such as complete positivity, entanglement breaking, and multiplicativity of maximal output purity. We illustrate our results with the maps constructed from the Gell-Mann matrices and the Heisenberg-Weyl observables.

References in corpus (5)

• Entanglement detection using mutually unbiased measurements
• Pauli Diagonal Channels Constant on Axes
• On uncertainty relations and entanglement detection with mutually unbiased measurements
• Mutually unbiased measurement based entanglement witnesses
• Detecting EPR steering via two classes of local measurements

Cited by in corpus (2)

• Engineering classical capacity of generalized Pauli channels with admissible memory kernels
• Pauli component erasing quantum channels