Quantum Error Correction and One-Way LOCC State Distinguishability

TL;DR

This paper investigates the connection between quantum error correction and one-way LOCC state distinguishability, introducing an operator theory approach to analyze error correction properties and distinguishability conditions.

Contribution

It presents a novel operator theory framework for analyzing one-way LOCC protocols and derives new conditions for state distinguishability within the stabilizer formalism.

Findings

Established new applications of error correction to LOCC distinguishability

Derived conditions for stabilizer states to be distinguishable via one-way LOCC

Provided new insights into the error correction properties of LOCC measurement protocols

Abstract

We explore the intersection of studies in quantum error correction and quantum local operations and classical communication (LOCC). We consider one-way LOCC measurement protocols as quantum channels and investigate their error correction properties, emphasizing an operator theory approach to the subject, and we obtain new applications to one-way LOCC state distinguishability as well as new derivations of some established results. We also derive conditions on when states that arise through the stabilizer formalism for quantum error correction are distinguishable under one-way LOCC.