| Three types of maximally entangled states for a two-particle system |
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| 作者姓名： | RUAN Manqi XU Gang & ZENG Jinyan |
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| 摘 要： | Foratwo-particle(spin1/2)systemthespinstateisdescribedusingavectorinafour-dimensionalHilbertspace.Inangularmomentumcouplingtheory1],theangularmomentumuncouplingandcouplingrepresentationsareusuallyadopted.WhilethesimultaneouseigenstatesoftheCSCO(s1z,s2z),12,12,12and12,arechosenasthebasisofangularmomentumuncouplingscheme,thesimultaneouseigenstatesoftheCSCO(2,zSS),,SM(12=+Sss),arechosenasthebasisofangularmomentumcouplingscheme,1212100,2轾=-臌1212110,2轾=+臌121211,1,1.=-=Thefo…
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Three types of maximally entangled states for a two-particle system |
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| RUAN Manqi,XU Gang & ZENG Jinyan.Three types of maximally entangled states for a two-particle system[J].Science in China(Physics Astronomy),2004,47(1):36-41. |
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| Authors: | RUAN Manqi XU Gang Zeng Jinyan |
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| Institution: | Department of Physics, Tsinghua University, Beijing 100084, China; Department of Physics, Peking University, Beijing 100871, China |
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| Abstract: | For a two-particle (spin 1/2) system, three fundamental forms of complete sets of commuting observables (CSCO) composed of two-body operators s 1as 2b are given. The corresponding simultaneous eigenstates constitute three types of maximally entangled states, one of which is the well known Bell basis. This paper discusses the possible pairs of spin observables whose simultaneous measurement outcomes are definitely correlated in probabilistic fashion. |
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| Keywords: | spin entangled state complete set of commuting observables two-body operator |
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