Quantifying Discriminating Strength for Gaussian States |
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Authors: | Rui-Fen Ma Xiao-Fei Qi Jin-Chuan Hou |
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Institution: | 1.Department of Mathematics, Shanxi University, Taiyuan 030006, China;2.Department of Mathematics, Taiyuan University of Science and Technology, Taiyuan 030024, China;3.Institute of Big Data Science and Industry, Shanxi University, Taiyuan 030006, China;4.Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China |
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Abstract: | The discriminating strength DS(ρAB) induced by local Gaussian unitary operators for any (n+m)-mode Gaussian state ρAB is introduced inPhys. Rev. A 83 (2011) 042325]. In this paper, we further discuss the quantity by restricting to Hilbert-Schmidt norm. The analytic formulas of DS for two-mode squeezed thermal states and mixed thermal states are given. Then, the relationship between DS(ρAB) and DS((I ⊗ Φ)(ρAB)) for some special Gaussian channels Φ is discussed. In addition, DS is compared with Gaussian entanglement for symmetric squeezed thermal states. |
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Keywords: | Gaussian states discriminating strength Gaussian unitary operators quantum correlations |
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