Bound on local minimum-error discrimination of bipartite quantum states

TL;DR

This paper derives an upper bound on the success probability for optimally discriminating bipartite quantum states using local measurements, and characterizes when this bound can be achieved.

Contribution

It introduces a new upper bound for local discrimination success probability and provides conditions for achieving this bound, advancing understanding of quantum state discrimination.

Findings

Established a necessary and sufficient condition for the upper bound to be saturated.

Provided a characterization of measurements that realize the upper bound.

Illustrated the theoretical results with a concrete example.

Abstract

We consider the optimal discrimination of bipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition for a measurement to realize the upper bound. We further establish a necessary and sufficient condition for this upper bound to be saturated. Finally, we illustrate our results using an example.