Group theoretical study of LOCC-detection of maximally entangled state using hypothesis testing

TL;DR

This paper investigates the optimal methods for detecting maximally entangled states using hypothesis testing under various locality constraints, providing theoretical derivations and practical experimental schemes.

Contribution

It derives the optimal hypothesis tests for maximally entangled states under locality conditions in both asymptotic and finite-sample frameworks, and proposes an experimental implementation.

Findings

Optimal tests derived for various locality conditions

Frameworks established for asymptotic and finite samples

Experimental schemes for practical implementation

Abstract

In the asymptotic setting, the optimal test for hypotheses testing of the maximally entangled state is derived under several locality conditions for measurements. The optimal test is obtained in several cases with the asymptotic framework as well as the finite-sample framework. In addition, the experimental scheme for the optimal test is presented.