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Maximal Coherence in a Pre-Selected Basis

  • Ming-Song Ding
  • Li Zheng
  • Ye-Xiong Zeng
  • Chong LiEmail author
Article

Abstract

Since quantum coherence is viewed as a valuable resource for quantum information processing, its quantification and application has long been a topic of concern. And in framework of a resource theory of quantum coherence, quantum coherence is a basis-dependent quantity. Accordingly, when a basis is selected ahead of time, a natural question is raised: not all one-qubit systems can evolve to the maximally coherent state, so what determines the coherence of a system can evolve to the maximum? Base on the parameters of Hamiltonian we propose a criterion by which one can easily judge whether the coherence of one-qubit system can evolve to the maximum. Moreover, we show commutation relation between the operators for observation corresponding to pre-selected basis and Hamiltonian can be used to judge whether coherence of one-qubit system can evolve to the maximum.

Keywords

Maximal coherent state Time of evolution Operator relationship 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China, under Grant No. 11574041 and No. 11475037.

Author Contributions

All the authors were involved in the preparation of the manuscript. All the authors have read and approved the final manuscript.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Ming-Song Ding
    • 1
  • Li Zheng
    • 2
  • Ye-Xiong Zeng
    • 1
  • Chong Li
    • 1
    Email author
  1. 1.School of PhysicsDalian University of TechnologyDalianChina
  2. 2.Information Science and Engineering CollegeDalian Polytechnic UniversityDalianChina

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