Asymmetric information capacities of reciprocal pairs of quantum channels

Abstract

Reciprocal pairs of quantum channels are defined as completely positive transformations which admit a rigid, distance-preserving, yet not completely-positive transformation that allows to reproduce the outcome of one from the corresponding outcome of the other. From a classical perspective these transmission lines should exhibit the same communication efficiency. This is no longer the case in the quantum setting: explicit asymmetric behaviours are reported studying the classical communication capacities of reciprocal pairs of depolarizing and Weyl-covariant channels.

7+3 pages; 5 figures

References in corpus (3)

• Quantum channels and their entropic characteristics
• Remarks on the classical capacity of quantum channel
• Statistical distribution of the local purity in a large quantum system

Cited by in corpus (2)

• Incompatibility in Quantum Parameter Estimation
• Quantum Work Capacitances: ultimate limits for energy extraction on noisy quantum batteries