Bell Inequality Based on Peres-Horodecki Criterion

TL;DR

This paper introduces a Bell inequality derived from the Peres-Horodecki criterion, enabling comprehensive testing of all entangled two-qubit or qubit-qutrit states, including Werner and maximally entangled mixed states.

Contribution

It presents a new quadratic probabilistic Bell inequality based on the Peres-Horodecki criterion, offering a necessary and sufficient test for various entangled states.

Findings

Provides a necessary and sufficient test for all entangled two-qubit or qubit-qutrit states.

Enables testing of Werner states and maximally entangled mixed states.

Establishes a physically utilizable Bell inequality.

Abstract

We established a physically utilizable Bell inequality based on the Peres-Horodecki criterion. The new quadratic probabilistic Bell inequality naturally provides us a necessary and sufficient way to test all entangled two-qubit or qubit-qutrit states including the Werner states and the maximally entangled mixed states.