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Zhang, Yong; Zhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
Teleportation, braid group and Temperley-Lieb algebra
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
AbstractWe 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.
2006
ISSN0305-4470
Volume39Issue:37Pages:11599-11622
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:19[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5909
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
Recommended Citation
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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