The Quantum Reverse Shannon Theorem based on One-Shot Information Theory

TL;DR

This paper presents a new proof of the Quantum Reverse Shannon Theorem using recent one-shot information-theoretic results, simplifying the understanding of quantum channel simulation with shared entanglement and classical communication.

Contribution

The paper introduces a novel proof of the Quantum Reverse Shannon Theorem based on one-shot quantum information theory techniques, offering a clearer conceptual framework.

Findings

New proof of the Quantum Reverse Shannon Theorem

Utilizes one-shot Quantum State Merging and Post-Selection Technique

Simplifies understanding of quantum channel simulation

Abstract

The Quantum Reverse Shannon Theorem states that any quantum channel can be simulated by an unlimited amount of shared entanglement and an amount of classical communication equal to the channel's entanglement assisted classical capacity. In this paper, we provide a new proof of this theorem, which has previously been proved by Bennett, Devetak, Harrow, Shor, and Winter. Our proof has a clear structure being based on two recent information-theoretic results: one-shot Quantum State Merging and the Post-Selection Technique for quantum channels.