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Chin. Phys. B, 2020, Vol. 29(5): 050302    DOI: 10.1088/1674-1056/ab7dab
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Margolus-Levitin speed limit across quantum to classical regimes based on trace distance

Shao-Xiong Wu(武少雄)1, Chang-Shui Yu(于长水)2
1 School of Science, North University of China, Taiyuan 030051, China;
2 School of Physics, Dalian University of Technology, Dalian 116024, China
Abstract  The classical version of Mandelstam-Tamm speed limit based on the Wigner function in phase space was reported by Shanahan et al. [Phys. Rev. Lett. 120 070401 (2018)]. We present the Margolus-Levitin speed limit across the quantum-to-classical transition in phase space based on the trace distance. The Margolus-Levitin speed limit is set by the Schatten L1 norm of the generator of time-dependent evolution for both the quantum and classical domains. As an example, the time-dependent harmonic oscillator is considered to illustrate the result.
Keywords:  quantum speed limit      Wigner function      phase space      Margolus-Levitin bound  
Received:  12 February 2020      Revised:  01 March 2020      Published:  05 May 2020
PACS:  03.65.-w (Quantum mechanics)  
  03.65.Db (Functional analytical methods)  
  03.67.-a (Quantum information)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11775040), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi Province of China (Grant No. 2019L0527), and the Fundamental Research Fund for the Central Universities of China (Grant No. DUT18LK45).
Corresponding Authors:  Shao-Xiong Wu, Chang-Shui Yu     E-mail:  sxwu@nuc.edu.cn;ycs@dlut.edu.cn

Cite this article: 

Shao-Xiong Wu(武少雄), Chang-Shui Yu(于长水) Margolus-Levitin speed limit across quantum to classical regimes based on trace distance 2020 Chin. Phys. B 29 050302

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