Optimal discrimination of quantum states on a two-dimensional Hilbert space by local operations and classical communication

TL;DR

This paper proves that any optimal discrimination of bipartite quantum states in a two-dimensional Hilbert space can be achieved using local operations and one-way classical communication, regardless of entanglement or criteria.

Contribution

It establishes that local operations and one-way classical communication suffice for optimal discrimination in a bipartite two-dimensional setting, independent of entanglement.

Findings

Optimal discrimination achievable with LOCC in 2D bipartite systems

One-way classical communication is sufficient for optimality

Results hold regardless of entanglement or discrimination criteria

Abstract

We study the discrimination of multipartite quantum states by local operations and classical communication. We derive that any optimal discrimination of quantum states spanning a two-dimensional Hilbert space in which each party's space is finite dimensional is possible by local operations and one-way classical communication, regardless of the optimality criterion used and how entangled the states are.