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Chin. Phys. B, 2021, Vol. 30(3): 030308    DOI: 10.1088/1674-1056/abcf4a
Special Issue: SPECIAL TOPIC — Quantum computation and quantum simulation
SPECIAL TOPIC—Quantum computation and quantum simulation Prev   Next  

Nonlocal advantage of quantum coherence in a dephasing channel with memory

Ming-Liang Hu(胡明亮)1,2,†, Yu-Han Zhang(张宇晗)1, and Heng Fan(范桁)2,3,4,
1 School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China; 2 Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China; 3 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China; 4 Songshan Lake Materials Laboratory, Dongguan 523808, China
Abstract  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 l1 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.
Keywords:  quantum coherence      correlated quantum channel      memory effects  
Received:  10 September 2020      Revised:  02 October 2020      Accepted manuscript online:  01 December 2020
PACS:  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11675129, 11774406, and 11934018), the National Key R&D Program of China (Grant Nos. 2016YFA0302104 and 2016YFA0300600), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and the Research Program of Beijing Academy of Quantum Information Sciences (Grant No. Y18G07).
Corresponding Authors:  Corresponding author. E-mail: mingliang0301@163.com Corresponding author. E-mail: hfan@iphy.ac.cn   

Cite this article: 

Ming-Liang Hu(胡明亮), Yu-Han Zhang(张宇晗), and Heng Fan(范桁) Nonlocal advantage of quantum coherence in a dephasing channel with memory 2021 Chin. Phys. B 30 030308

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