Role of complementary correlations in the evolution of classical and quantum correlations under Markovian decoherence

TL;DR

This paper explores how complementary correlations influence the evolution of quantum and classical correlations under Markovian decoherence, revealing that mixed entangled states can resist decay but pure states do not show sudden changes.

Contribution

It introduces the concept of complementary correlations to explain the dynamics of correlations under decoherence, highlighting differences between pure and mixed states.

Findings

Complementary correlations explain sudden changes in correlations.

Mixed entangled states can resist monotonic decay.

Pure entangled states do not exhibit sudden changes.

Abstract

Quantum correlation lies at the very heart of almost all the non-classical phenomena exhibited by quantum systems composed of more than one subsystem. In the recent days it has been pointed out that there exists quantum correlation, namely discord which is more general than entanglement. Some authors have investigated that for certain initial states the quantum correlations as well as classical correlation exhibit sudden change under simple Markovian noise. We show that, this dy- namical behavior of the both types of correlations can be explained using the idea of complementary correlations introduced in [arXiv:1408.6851]. We also show that though certain class of mixed en- tangled states can resist the monotonic decay of quantum correlations,it is not true for all mixed states. Moreover, pure entangled states of two qubits will never exhibit such sudden change.