Secret Keys Assisted Private Classical Communication Capacity over Quantum Channels

TL;DR

This paper derives a regularized formula for the secret key-assisted capacity of quantum channels for private classical communication, introducing the private father protocol within the resource inequality framework.

Contribution

It presents a new capacity formula for secret key-assisted private classical communication over quantum channels and introduces the private father protocol.

Findings

Derived a regularized capacity formula for secret key-assisted communication

Introduced the private father protocol as a new resource inequality-based protocol

Established parallels with Devetak's entanglement-assisted quantum capacity

Abstract

We prove a regularized formula for the secret key-assisted capacity region of a quantum channel for transmitting private classical information. This result parallels the work of Devetak on entanglement assisted quantum communication capacity \cite{DHW05RI}. This formula provides a new family protocol, the private father protocol, under the resource inequality framework that includes private classical communication \it{without} secret key assistance as a child protocol.