Exploiting quantum discord for analyzing complex systems: two-state Markov-binary

TL;DR

This paper demonstrates how quantum discord can be used to analyze quantum correlations in two-state Markov binary systems, revealing oscillatory behaviors and inverse relationships between quantum information and discord.

Contribution

It introduces a method to compute quantum discord in Markov-binary systems using transition matrices based on orthogonal states, highlighting its application in quantum information analysis.

Findings

Quantum discord detects quantum correlations in Markov-binary systems.

Quantum discord reaches minimum at maximum quantum information.

Oscillatory behavior observed in correlation measures.

Abstract

We exploit quantum discord to detect quantum correlations for two-state Markov binary, which has broad of applications in quantum information theory. To calculate the correlation in Markov-binary, We wrote a transition matrix elements based on orthogonal states, the computational results show oscillatory behavior in terms of the relevant variables. According to the results, when we have maximum quantum information, quantum discord reaches its minimum.