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Quantum Information Processing

Enhancing nonlocal advantage of quantum coherence in correlated quantum channels

Yu-Xia Xie, Zhi-Yong Qin

Published Oct 1, 2020• 27 citations
Publisher
DOI
10.1007/s11128-020-02870-8

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We investigate nonlocal advantage of quantum coherence (NAQC) in a correlated dephasing channel modeled by the multimode bosonic reservoir. We obtain analytically the dephasing and memory factors of this channel for the reservoir having a Lorentzian spectral density, and analyze how they affect the NAQC defined by the l 1 norm and relative entropy. It is shown that the memory effects of this channel on NAQC are state-dependent, and they suppress noticeably the rapid decay of NAQC for the family of input Bell-like states with one excitation. For the given transmission time of each qubit, we also obtain the regions of the dephasing and memory factors during which there is NAQC in the output states.
Abstract We study the dynamics of skew information (SI)-based nonlocal advantage of quantum coherence (NAQC) in amplitude damping channels. For Bell states used as initial states, it is shown that the dynamics of SI-based NAQC is very similar, namely, it decreases monotonically and exists in finite time. To enhance SI-based NAQC for further applications, weak measurements and quantum measurement reversals (QMRs) are jointly performed for the initial Bell states | ϕ ± ⟩ = ( | 00 ⟩ ± | 11 ⟩ ) / 2 . While for the initial Bell states | φ ± ⟩ = ( | 01 ⟩ ± | 10 ⟩ ) / 2 , SI-based NAQC can be remarkably enhanced only by QMRs. Finally, an all-optical experimental proposal is presented, and the experimental feasibility is also analyzed.