A study of Quantum Correlation for Three Qubit States under the effect of Quantum Noisy Channels

TL;DR

This paper investigates how quantum correlations in three-qubit states evolve under different noisy environments, revealing their robustness, revival phenomena, and implications for quantum security and shareability.

Contribution

It provides new insights into the dynamics of quantum dissension and monogamy scores in noisy channels, highlighting the potential to generate monogamous states from polygamous ones.

Findings

Quantum dissension decays asymptotically, not suddenly, under noise.

Quantum correlations can revive temporarily during evolution.

Monogamy scores can change from negative to positive, indicating shifts in shareability.

Abstract

We study the dynamics of quantum dissension for three qubit states in various dissipative channels such as amplitude damping, dephasing and depolarizing. Our study is solely based on Markovian environments where quantum channels are without memory and each qubit is coupled to its own environment. We start with mixed GHZ, mixed W, mixture of separable states, a mixed biseparable state, as the initial states and mostly observe that the decay of quantum dissension is asymptotic in contrast to sudden death of quantum entanglement in similar environments. This is a clear indication of the fact that quantum correlation in general is more robust against the effect of noise. However, for a given class of initial mixed states we find a temporary leap in quantum dissension for a certain interval of time. More precisely, we observe the revival of quantum correlation to happen for certain time period. This signifies that the measure of quantum correlation such as quantum discord, quantum dissension, defined from the information theoretic perspective is different from the correlation defined from the entanglement-separability paradigm and can increase under the effect of the local noise. We also study the effects of these channels on the monogamy score of each of these initial states. Interestingly, we find that for certain class of states and channels, there is change from negative values to positive values of the monogamy score with classical randomness as well as with time. This gives us an important insight in obtaining states which are freely sharable (polygamous state) from the states which are not freely sharable (monogamous). This is indeed a remarkable feature, as we can create monogamous states from polygamous states Monogamous states are considered to have more signatures of quantum ness and can be used for security purpose.