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Constructive Feedback of Non-Markovianity on Resources in Random Quantum States
We explore the impact of non-Markovian channels on the quantum correlations
(QCs) of Haar uniformly generated random two-qubit input states with different
ranks -- either one of the qubits (single-sided) or both the qubits
independently (double-sided) are passed through noisy channels. Under dephasing
and depolarizing channels with varying non-Markovian strength, entanglement and
quantum discord of the output states collapse and revive with the increase of
noise. We find that in case of the depolarizing double-sided channel, both the
QCs of random states show a higher number of revivals on average than that of
the single-sided ones with a fixed non-Markovianity strength, irrespective of
the rank of the states -- we call such a counter-intuitive event as a
constructive feedback of non-Markovianity. Consequently, the average noise at
which QCs of random states show first revival decreases with the increase of
the strength of non-Markovian noise, thereby indicating the role of
non-Markovian channels on the regenerations of QCs even in presence of a high
amount of noise. However, we observe that non-Markovianity does not play any
role to increase the robustness in random quantum states which can be measured
by the mean value of critical noise at which quantum correlations first
collapse. Moreover, we observe that the tendency of a state to show
regeneration increases with the increase of average QCs of the random input
states along with non-Markovianity.Comment: V2: results unchanged, some figures are update