Quantum Correlations and Bell Inequality Violation under Decoherence

TL;DR

This paper analyzes how quantum correlations and Bell inequality violations behave under different noisy channels, revealing that these quantum features diminish variably under decoherence, with some correlations showing dramatic changes.

Contribution

It extends previous work by examining the effects of amplitude damping, phase damping, and depolarizing channels on multiple quantum correlation measures and Bell inequality violations.

Findings

Quantum correlations decrease under decoherence channels.

Some correlations exhibit dramatic changes compared to others.

The study investigates separability conditions of the studied states.

Abstract

Quantum Correlations are studied extensively in quantum information domain. Entanglement Measures and Quantum Discord are good examples of these actively studied correlations. Detection of violation in Bell inequalities is also a widely active area in quantum information theory world. In this work, we revisit the problem of analyzing the behavior of quantum correlations and violation of Bell inequalities in noisy channels. We extend the problem defined in [1] by observing the changes in negativity measure, quantum discord and a modified version of Horodecki measure for violation of Bell inequalities under amplitude damping, phase damping and depolarizing channels. We report different interesting results for each of these correlations and measures. All these correlations and measures decrease under decoherence channels, but some changes are very dramatical comparing to others. We investigate also separability conditions of example studied states.