Global restrictions under local state discrimination

TL;DR

This paper explores how optimal local state discrimination constrains global quantum properties like entanglement and non-locality, revealing trade-offs and potential applications in quantum cryptography.

Contribution

It introduces a novel framework linking local distinguishability with global quantum features, providing bounds and insights into quantum correlations.

Findings

Trade-off between CHSH violation and local discrimination success

Bounds on entangled state fidelity based on local discrimination

Implications for limiting adversarial quantum behaviors

Abstract

We investigate how local distinguishability can restrict global properties of bi-partite states. We begin exploring how non-locality becomes limited by optimal local state discrimination and observe a non-trivial trade-off between the Clauser-Horne-Shimony-Holt (CHSH) violation and success probability of local discrimination. We extend our findings to bounding the maximally entangled sate fidelity and global observables such as the energy. Our results show that optimal local state discrimination can become a powerful tool to limit global behaviours, e.g. from entangled adversaries in quantum cryptography.