On the Activation of Quantum Nonlocality

TL;DR

This paper reviews numerical methods for analyzing quantum nonlocality properties and applies them to establish new bounds for specific quantum states, advancing understanding of quantum entanglement and nonlocality.

Contribution

It provides a comprehensive review of numerical procedures for quantum nonlocality analysis and applies these methods to derive new bounds for two-qudit isotropic states and two-qubit Hirsch states.

Findings

Reproduced bounds for two-qudit Werner states.

Calculated new bounds for two-qudit isotropic states.

Calculated new bounds for two-qubit Hirsch states.

Abstract

We report on some quantum properties of physical systems, namely, entanglement, nonlocality, $k$-copy nonlocality (superactivation of nonlocality), hidden nonlocality (activation of nonlocality through local filtering) and the activation of nonlocality through tensoring and local filtering. The aim of this work is two-fold. First, we provide a review of the numerical procedures that must be followed in order to calculate the aforementioned properties, in particular, for any two-qubit system, and reproduce the bounds for two-qudit Werner states. Second, we use such numerical tools to calculate new bounds of these properties for two-qudit Isotropic states and two-qubit Hirsch states.