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Quantum Information Processing

Coherence-selective non-Markovian qubit dynamics

R. Horchani

Published Sep 7, 2026• 0 citations
Publisher
DOI
10.1007/s11128-026-05336-5

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The behavior of quantum coherence is studied under Markovian and non-Markovian dynamics for open quantum systems. For single qubit systems, we show that the coherence depending on the off-diagonal elements of the density matrix is the upper bound of the coherence depending on the relative entropy under both Markovian and non-Markovian processes. For two-qubit systems, in both Markovian and non-Markovian processes, quantum discord and coherence show less sensitivity to the initial state than quantum entanglement. We also find that the quantum discord has similar behaviors with coherence under both Markovian and non-Markovian dynamics.
We study the non-Markovian dynamics of a qubit system coupled respectively to coherent state, squeezing vacuum state, and mixed state environments through dephasing interaction. Special attention is paid to the problem of environmental coherence and excitation on the effect of non-Markovianity of system dynamics. Some nontrivial and unexpected results are found. The number of environmental excitations serves to enhance the non-Markovianity of system dynamics, but the enhancement slows down with the increasing of the variance of excitation number. However, environmental coherence can play dual effects, which enhances in some cases and suppresses in other cases the non-Markovianity of system dynamics.