Entanglement-Assisted Quantum Communication Beating the Quantum Singleton Bound

TL;DR

This paper introduces a new entanglement-assisted quantum communication scheme that surpasses the previously established quantum Singleton bound, demonstrating enhanced capabilities in quantum error correction.

Contribution

The authors present a novel entanglement-assisted quantum communication protocol that violates the quantum Singleton bound in specific parameter ranges, advancing quantum error correction techniques.

Findings

Scheme exceeds the quantum Singleton bound in certain ranges

Demonstrates improved quantum communication parameters

Challenges existing theoretical bounds in quantum error correction

Abstract

Brun, Devetak, and Hsieh [Science 314, 436 (2006)] demonstrated that pre-shared entanglement between sender and receiver enables quantum communication protocols that have better parameters than schemes without the assistance of entanglement. Subsequently, the same authors derived a version of the so-called quantum Singleton bound that relates the parameters of the entanglement-assisted quantum-error correcting codes proposed by them. We present a new entanglement-assisted quantum communication scheme with parameters violating this bound in certain ranges.