Quantum capacity of an amplitude-damping channel with memory

TL;DR

This paper calculates the quantum capacity of an amplitude-damping channel with memory, demonstrating that channel memory enhances quantum information transmission and providing bounds for multiple uses.

Contribution

It introduces an analytical calculation of quantum capacity for a correlated amplitude-damping channel and compares it with previous numerical results, also providing an upper bound for multiple channel uses.

Findings

Memory increases quantum capacity significantly.

Analytical results align with earlier numerical findings.

Provides an upper bound for quantum information transmission with memory.

Abstract

We calculate the quantum capacity of an amplitude-damping channel with time correlated Markov noise, for two channel uses. Our results show that memory of the channel increases it's ability to transmit quantum information significantly. We analyze and compare our findings with earlier numerical results on amplitude-damping channel with memory. An upper bound on the amount of quantum information transmitted over the channel in presence of memory, for an arbitrary number of channel uses is also presented.