New equation for deriving pure state density operators by Weyl correspondence and Wigner operator

doi:10.1088/1674-1056/19/2/020303

中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20303-020303.doi: 10.1088/1674-1056/19/2/020303

New equation for deriving pure state density operators by Weyl correspondence and Wigner operator

范洪义¹, 许业军², 刘秋宇²

(1)Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China; (2)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

收稿日期:2009-05-26 修回日期:2009-07-03 出版日期:2010-02-15 发布日期:2010-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10874174 and 90203002).

New equation for deriving pure state density operators by Weyl correspondence and Wigner operator

Xu Ye-Jun(许业军)^a)^†, Fan Hong-Yi(范洪义)^b), and Liu Qiu-Yu(刘秋宇)^a)

^a Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; ^b Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China

Received:2009-05-26 Revised:2009-07-03 Online:2010-02-15 Published:2010-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10874174 and 90203002).

摘要/Abstract

摘要： By virtue of the completeness of Wigner operator and Weyl correspondence we construct a general equation for deriving pure state density operators. Several important examples are considered as the applications of this equation, which shows that our approach is effective and convenient for deducing these entangled state representations.

Abstract: By virtue of the completeness of Wigner operator and Weyl correspondence we construct a general equation for deriving pure state density operators. Several important examples are considered as the applications of this equation, which shows that our approach is effective and convenient for deducing these entangled state representations.

Key words: density operator, Weyl ordering, Wigner operator, quantum mechanical eigenstate

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.65.Fd (Algebraic methods) 02.10.Ud (Linear algebra) 02.30.Tb (Operator theory)

许业军, 范洪义, 刘秋宇. New equation for deriving pure state density operators by Weyl correspondence and Wigner operator[J]. 中国物理B, 2010, 19(2): 20303-020303.

Xu Ye-Jun(许业军), Fan Hong-Yi(范洪义), and Liu Qiu-Yu(刘秋宇). New equation for deriving pure state density operators by Weyl correspondence and Wigner operator[J]. Chin. Phys. B, 2010, 19(2): 20303-020303.

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New equation for deriving pure state density operators by Weyl correspondence and Wigner operator

New equation for deriving pure state density operators by Weyl correspondence and Wigner operator

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