Generating quantum dissonance via local operations

TL;DR

This paper presents explicit local operation procedures to generate non-zero quantum discord in separable Werner states, enhancing understanding of non-classical correlations beyond entanglement.

Contribution

It introduces two practical methods for creating separable Werner states with quantum dissonance through local operations, offering a clear alternative to existing techniques.

Findings

Successfully produce separable Werner states with non-zero QD

Provide step-by-step procedures for local manipulation of correlations

Offer an accessible approach to generate quantum dissonance

Abstract

Correlations may arise in quantum systems through various means, of which the most remarkable one is quantum entanglement. Additionally, there are systems that exhibit non-classical correlations even in the absence of entanglement. Quantum dissonance refers to how quantum discord (QD) -- the difference between the total correlation and the classical correlation in a given quantum state -- appears as a non-classical correlation in a system without entanglement. It could be said that QD has the potential to provide a more inclusive viewpoint for discerning the non-classical correlations. In this work, we address the problem of manipulating the QD between two subsystems through local operations. We propose two explicit procedures for obtaining separable Werner states, a type of mixed state with nonzero QD. Both approaches involve performing local operations on classically correlated states and offers a step-by-step method for obtaining separable Werner states with nonzero discord, providing an alternative (explicit and user-friendly) to existing methods.