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Teleportation, braid group and Temperley-Lieb algebra
Zhang, Yong; Zhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
2006
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号39期号:37页码:11599-11622
摘要We explore algebraic and topological structures underlying the quantum teleportation phenomena by applying the braid group and Temperley-Lieb algebra. We realize the braid teleportation configuration, teleportation swapping and virtual braid representation in the standard description of the teleportation. We devise diagrammatic rules for quantum circuits involving maximally entangled states and apply them to three sorts of descriptions of the teleportation: the transfer operator, quantum measurements and characteristic equations, and further propose the Temperley-Lieb algebra under local unitary transformations to be a mathematical structure underlying the teleportation. We compare our diagrammatical approach with two known recipes to the quantum information flow: the teleportation topology and strongly compact closed category, in order to explain our diagrammatic rules to be a natural diagrammatic language for the teleportation.
部门归属Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
学科领域Physics
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收录类别SCI
WOS记录号WOS:000240463300019
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5909
专题理论物理所1978-2010年知识产出
通讯作者Zhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
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GB/T 7714
Zhang, Yong,Zhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China. Teleportation, braid group and Temperley-Lieb algebra[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2006,39(37):11599-11622.
APA Zhang, Yong,&Zhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China.(2006).Teleportation, braid group and Temperley-Lieb algebra.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,39(37),11599-11622.
MLA Zhang, Yong,et al."Teleportation, braid group and Temperley-Lieb algebra".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 39.37(2006):11599-11622.
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