Regularized maximal fidelity of the generalized Pauli channels

Abstract

We consider the asymptotic regularization of the maximal fidelity for the generalized Pauli channels, which is a problem similar to the classical channel capacity. In particular, we find the formulas for the extremal channel fidelities and the maximal output $\infty$-norm. For wide classes of channels, we show that these quantities are multiplicative. Finally, we find the regularized maximal fidelity for the channels satisfying the time-local master eqeuations.

References in corpus (3)

• Pauli Diagonal Channels Constant on Axes
• Memory kernel approach to generalized Pauli channels: Markovian, semi-Markov, and beyond
• Simplification of additivity conjecture in quantum information theory

Cited by in corpus (6)

• Classical capacity of the generalized Pauli channels
• Private learning implies quantum stability
• Generalization of Pauli channels through mutually unbiased measurements
• Geometry of generalized Pauli channels
• Enhancing phase-covariant channel performance with non-unitality
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