Knowledge Management System of Institute of Theoretical Physics, CAS
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 Publication | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL |
Abstract | 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. |
2006 | |
ISSN | 0305-4470 |
Volume | 39Issue:37Pages:11599-11622 |
Subject Area | Physics |
Indexed By | SCI |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/5909 |
Collection | 理论物理所科研产出_SCI论文 |
Corresponding Author | Zhang, 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. |
Files in This Item: | ||||||
File Name/Size | DocType | Version | Access | License | ||
Teleportation, braid（317KB） | 开放获取 | License | Application Full Text |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment