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Characterization of sum automorphisms and Jordan triple automorphisms of quantum probabilistic maps
Bai, Zhaofang ; Du, Shuanping ; Du SP(杜拴平)
刊名http://dx.doi.org/10.1088/1751-8113/43/16/165210
2010-04-23
关键词HILBERT-SPACE SYMMETRY TRANSFORMATIONS ORDER-AUTOMORPHISMS MECHANICS SET
英文摘要In quantum mechanics, it is often important for the representation of a quantum system to study the structure-preserving bijective maps of the system. Such maps are also called isomorphisms or automorphisms. In this paper, using the Uhlhorn-type of Wigner's theorem, we show that both sum automorphisms and Jordan triple automorphisms of the unit ball of density operators are implemented by either unitary or anti-unitary operators of the underlying Hilbert space.
语种英语
出版者J PHYS A-MATH THEOR
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/91024]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Bai, Zhaofang,Du, Shuanping,Du SP. Characterization of sum automorphisms and Jordan triple automorphisms of quantum probabilistic maps[J]. http://dx.doi.org/10.1088/1751-8113/43/16/165210,2010.
APA Bai, Zhaofang,Du, Shuanping,&杜拴平.(2010).Characterization of sum automorphisms and Jordan triple automorphisms of quantum probabilistic maps.http://dx.doi.org/10.1088/1751-8113/43/16/165210.
MLA Bai, Zhaofang,et al."Characterization of sum automorphisms and Jordan triple automorphisms of quantum probabilistic maps".http://dx.doi.org/10.1088/1751-8113/43/16/165210 (2010).
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