Bound on optimal local discrimination of multipartite quantum states

TL;DR

This paper establishes bounds and conditions for optimal local discrimination of multipartite quantum states, advancing understanding of quantum measurement limits in complex systems.

Contribution

It provides a new upper bound and necessary/sufficient conditions for achieving optimal local discrimination success in multipartite quantum states.

Findings

Derived an upper bound for success probability in local discrimination

Established necessary and sufficient conditions for bound saturation

Illustrated results with multidimensional quantum system examples

Abstract

We consider the unambiguous discrimination of multipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition 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 examples in multidimensional multipartite quantum systems.