Journal of East China Normal University(Natural Science) >

2024 , Vol. 2024 >Issue 3: 147 - 155

DOI: https://doi.org/10.3969/j.issn.1000-5641.2024.03.016

Quantum Physics and Quantum Information Processing

Linear entropy uncertainty relation of Ising model under Dzyaloshinskii-Moriya interaction

  • Yu ZHAO ,
  • Jinming LIU
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  • State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai　200241, China

Received date: 2023-03-20

  Online published: 2024-05-25

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Abstract

In this research, by considering the two-qubit Ising model under Dzyaloshinskii-Moriya(DM) interaction as the research object, we investigate the effects of coupling strength, DM interaction and ambient temperature on the linear entropy uncertainty relation(EUR) in the system. Meanwhile, the variation of thermal entanglement with environment with ambient temperature is also discussed, and the relationship between thermal entanglement and linear EUR is compared. The results demonstrate that the systemic linear entropy uncertainty and thermal entanglement variance trend depends on the selection of environmental parameters, and their overall evolution behavior is roughly anti-related. Additionally, for a complete set of mutually unbiased bases, when different measurement base combinations are selected, the uncertainty relation lower bound will vary with the change in the number of measurement bases; moreover, the linear EUR can be transformed into an equation in special cases and its lower bound does not depend on the selection of a specific observation quantity. Compared with the previous quantum memory-assisted EUR, it provides a useful reference for precise measurement.

Key words： entropy uncertainty relation; thermal entanglement; mutual unbiased bases

Cite this article

Yu ZHAO , Jinming LIU . Linear entropy uncertainty relation of Ising model under Dzyaloshinskii-Moriya interaction[J]. Journal of East China Normal University(Natural Science), 2024 , 2024(3) : 147 -155 . DOI: 10.3969/j.issn.1000-5641.2024.03.016

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