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题名: Teleportation, braid group and Temperley-Lieb algebra
作者: Zhang, Yong
刊名: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
出版日期: 2006
卷号: 39, 期号:37, 页码:11599-11622
学科分类: Physics
通讯作者: Zhang, Y , Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
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
英文摘要: 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000240463300019
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5909
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Zhang, Yong. Teleportation, braid group and Temperley-Lieb algebra[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2006,39(37):11599-11622.
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