On quantum capacity of erasure channel assisted by back classical communication

TL;DR

This paper introduces a new protocol for the erasure channel with backward classical communication that surpasses previous rates and establishes a capacity separation from two-way communication, supported by an upper bound proof.

Contribution

It presents a novel communication protocol for the erasure channel with backward classical communication and proves a capacity separation from two-way classical communication.

Findings

The new protocol achieves higher communication rates than prior methods.

An upper bound for the channel capacity is established.

A separation between capacities assisted by backward and two-way classical communication is demonstrated.

Abstract

We present a communication protocol for the erasure channel assisted by backward classical communication, which achieves a significantly better rate than the best prior result. In addition, we prove an upper bound for the capacity of the channel. The upper bound is smaller than the capacity of the erasure channel when it is assisted by two-way classical communication. Thus, we prove the separation between quantum capacities assisted by backward classical communication and two-way classical communication.