Optimal amount of entanglement to distinguish quantum states instantaneously

TL;DR

This paper investigates the minimal entanglement needed to perfectly distinguish orthogonal quantum states using local operations without classical communication, revealing a new form of nonlocality related to information.

Contribution

It introduces a measure of entanglement required for state distinguishability under local operations, highlighting a novel aspect of quantum nonlocality.

Findings

Identifies the optimal entanglement amount for perfect state discrimination.

Proposes a new quantification of information nonlocality.

Shows the relationship between entanglement and nonlocal distinguishability.

Abstract

We introduce a new aspect of nonlocality which arises when the task of quantum states distinguishability is considered under local operations and shared entanglement in the absence of classical communication. We find the optimal amount of entanglement required to accomplish the task perfectly for sets of orthogonal states and argue that it quantifies information nonlocality.