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题名: Yang-Baxterizations, universal quantum gates and Hamiltonians
作者: Zhang, Yong ;  Kauffman, Louis H. ;  Ge, Mo-Lin
刊名: QUANTUM INFORMATION PROCESSING
出版日期: 2005
卷号: 4, 期号:3, 页码:159-197
关键词: BRAID GROUP-REPRESENTATIONS ;  EXACTLY SOLVABLE MODELS ;  BAXTER EQUATION ;  LINK POLYNOMIALS ;  STATE ;  ENTANGLEMENT ;  COMPUTATION
学科分类: Physics
通讯作者: Kauffman, LH , Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA.
部门归属: Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Nankai Univ, Nankai Inst Math, Tianjin 300071, Peoples R China; Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France; Univ Leipzig, Inst Theoret Phys, Leipzig, Germany
英文摘要: The unitary braiding operators describing topological entanglements can be viewed as universal quantum gates for quantum computation. With the help of the Brylinski's theorem the unitary solutions of the quantum Yang-Baxter equation can be also related to universal quantum gates. This paper derives the unitary solutions of the quantum Yang-Baxter equation via Yang-Baxterization from the solutions of the braid relation. We study Yang-Baxterizations of the non-standard and standard representations of the six-vertex model and the complete solutions of the non-vanishing eight-vertex model. We construct Hamiltonians responsible for the time-evolution of the unitary braiding operators which lead to the Schrodinger equations.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000241549700001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13778
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,Kauffman, Louis H.,Ge, Mo-Lin. Yang-Baxterizations, universal quantum gates and Hamiltonians[J]. QUANTUM INFORMATION PROCESSING,2005,4(3):159-197.
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