Quantum coherence of two-qubit over quantum channels with memory

TL;DR

This paper investigates how quantum channels with memory influence the coherence of two-qubit systems, revealing that memory effects can protect coherence against noise and that perfect memory channels can preserve coherence completely.

Contribution

It introduces an analysis of quantum coherence under channels with memory, demonstrating their ability to protect coherence and examining their cohering and decohering powers.

Findings

Quantum channels with memory can effectively protect quantum coherence.

Perfect memory channels preserve coherence against phase damping and depolarizing noise.

Channels with memory exhibit significant cohering and decohering powers.

Abstract

Using the axiomatic definition of the coherence measure, such as the $l_{1}$ norm and the relative entropy, we study the phenomena of two-qubit system quantum coherence through quantum channels where successive uses of the channels are memory. Different types of noisy channels with memory, such as amplitude damping, phase-damping, and depolarizing channels effect on quantum coherence have been discussed in detail. The results show that, quantum channels with memory can efficiently protect coherence from noisy channels. Particularly, as channels with perfect memory, quantum coherence is unaffected by the phase damping as well as depolarizing channels. Besides, we also investigate the cohering and decohering power of quantum channels with memory.