中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1914-1918.doi: 10.1088/1009-1963/15/9/002

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Relative entropy as a measure of entanglement for Gaussian states

逯怀新1, 赵博2   

  1. (1)Department of Physics, Weifang University, Weifang ,261061, China;Physikalisches Institut, Universitat Heidelberg,Philosophenweg 12, 69120 Heidelberg, Germany;Department of Physics, Qufu Normal University, Qufu ,273165, China; (2)Physikalisches Institut, Universitat Heidelberg,Philosophenweg 12, 69120 Heidelberg, Germany
  • 收稿日期:2006-05-12 修回日期:2006-05-17 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Shandong Province, China (Grant No Y2001A04).

Relative entropy as a measure of entanglement for Gaussian states

Lu Huai-Xin(逯怀新)a)b)c)† and Zhao Bo(赵博)b)   

  1. a Department of Physics, Weifang University, Weifang 261061, Chinab Physikalisches Institut, Universit?t Heidelberg, Philosophenweg 12 69120 Heidelberg, Germanyc Department of Physics, Qufu Normal University, Qufu 273165, China
  • Received:2006-05-12 Revised:2006-05-17 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the Natural Science Foundation of Shandong Province, China (Grant No Y2001A04).

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摘要： In this paper, we derive an explicit analytic expression of the relative entropy between two general Gaussian states. In the restriction of the set for Gaussian states and with the help of relative entropy formula and Peres--Simon separability criterion, one can conveniently obtain the relative entropy entanglement for Gaussian states. As an example, the relative entanglement for a two-mode squeezed thermal state has been obtained.

关键词: relative entropy, entanglement, Gaussian states

Abstract: In this paper, we derive an explicit analytic expression of the relative entropy between two general Gaussian states. In the restriction of the set for Gaussian states and with the help of relative entropy formula and Peres--Simon separability criterion, one can conveniently obtain the relative entropy entanglement for Gaussian states. As an example, the relative entanglement for a two-mode squeezed thermal state has been obtained.

Key words: relative entropy, entanglement, Gaussian states

中图分类号:  (γ-ray sources; γ-ray bursts)

  • 98.70.Rz
98.62.Js (Galactic nuclei (including black holes), circumnuclear matter, and bulges) 95.55.Aq (Charge-coupled devices, image detectors, and IR detector arrays) 95.55.Ka (X- and γ-ray telescopes and instrumentation) 95.55.Qf (Photometric, polarimetric, and spectroscopic instrumentation)