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Laser Physics Letters

Nonlocal advantage of quantum coherence in a double-quantum-dot system

Xiu-Qin Wei, Cui-Yuan Yang, Zhao Zhang, Yu-Xia Xie

Published Aug 1, 2026• 0 citations
Publisher

Abstract

Abstract Nonlocal advantage of quantum coherence (NAQC) characterizes the nonlocal property of a bipartite system. We investigate NAQC in the thermal state of a double-quantum-dot system for which there are adjustable parameters such as the interdot energy detuning, the tunneling coupling, and the externally applied transverse and longitudinal magnetic fields. We identified the parameter regions in which NAQC exists for different cases, and showed that a small interdot energy detuning, a moderate tunneling coupling, and finite but not very strong transverse and longitudinal magnetic fields are beneficial for generating NAQC in this system.

DOI
10.1088/1612-202x/ae95ee

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Abstract Quantum coherence is not only a fundamental notion in quantum theory but also an invaluable resource for quantum information processing. We investigate the nonlocal advantage of quantum coherence (NAQC) in the Heisenberg model, aimed at seeking flexible ways for its control. By considering impurities, or more explicitly, the inhomogeneous spin couplings and nonuniform magnetic field, in such a model, we showed that an efficient nonlocal control of the NAQC can be realized, and there exists a wide impurity parameter region for which the NAQC takes the value a little less than its maximum 1. Moreover, the critical temperature after which the NAQC vanishes can also be enhanced evidently by tuning the impurity parameters.
Coherences in mutually unbiased bases of states of an isolated quantum system follow a complementarity relation. The nonlocal advantage of quantum coherence (NAQC), defined in a bipartite scenario, is a situation in which the average quantum coherences of the ensembles of one subsystem, effected by a measurement performed on the other subsystem, violate the complementarity relation. We analyze two criteria to detect NAQC for bipartite quantum states. We construct a more generalized version of the criterion to detect NAQC that is better than the standard criterion as it can capture more states exhibiting NAQC. We prove the local unitary invariance of these NAQC criteria. Further on, we focus on investigating the monogamy properties of NAQC in the tripartite scenario. We check for monogamy of NAQC from two perspectives, differentiated by whether or not the nodal observer in the monogamy relation performs the measurement for the nonlocal advantage. We find in particular that in the case where the nodal observer does not perform the measurement, a strong monogamy relation---an exclusion principle---is exhibited by NAQC.
Abstract We investigate the nonlocal advantage of quantum coherence (NAQC) for two qubits coupled via the Heisenberg interaction and embedded in their respective thermal and dephasing reservoirs. Unlike the case of two uncoupled qubits, we showed that in the presence of the Heisenberg interaction, the decay rate of the NAQC can be reduced and the strength of the NAQC can be enhanced for certain initial states. Moreover, the Heisenberg interaction of two spins can induce generation of NAQC from the initial product states, and the generated NAQC approaches asymptotically to its maximum with the increasing anisotropy of the Heisenberg interaction.