Quantum coherence of multiqubit states in correlated noisy channels

Abstract

The long-time maintenance of quantum coherence is crucial for its practical applications. We explore decoherence process of a multiqubit system passing through a correlated channel (phase flip, bit flip, bit-phase flip, and depolarizing). The results show that the decay of coherence was evidently delayed when the consecutive actions of the channel on the sequence of qubits has some classical correlations. In particular, the relative entropy of coherence for a system with large number of qubits is more robust than that with small number of qubits. We also provide an explanation for the delayed decoherence by exploring the interplay between the change of the unlocalized quantum coherence and the total correlation gain of the multiqubit system.

6 pages, 3 figures

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• Characterizing the superposition of arbitrary random quantum states and a known quantum state
• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed