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Zhang, Yong; Kauffman, Louis H.; Ge, Mo-Lin; Kauffman, LH , Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA.
Yang-Baxterizations, universal quantum gates and Hamiltonians
Source PublicationQUANTUM INFORMATION PROCESSING
KeywordBraid Group-representations Exactly Solvable Models Baxter Equation Link Polynomials State Entanglement Computation
AbstractThe 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.
2005
ISSN1570-0755
Volume4Issue:3Pages:159-197
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13778
Collection理论物理所科研产出_SCI论文
Corresponding AuthorKauffman, LH , Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA.
Recommended Citation
GB/T 7714
Zhang, Yong,Kauffman, Louis H.,Ge, Mo-Lin,et al. Yang-Baxterizations, universal quantum gates and Hamiltonians[J]. QUANTUM INFORMATION PROCESSING,2005,4(3):159-197.
APA Zhang, Yong,Kauffman, Louis H.,Ge, Mo-Lin,&Kauffman, LH , Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA..(2005).Yang-Baxterizations, universal quantum gates and Hamiltonians.QUANTUM INFORMATION PROCESSING,4(3),159-197.
MLA Zhang, Yong,et al."Yang-Baxterizations, universal quantum gates and Hamiltonians".QUANTUM INFORMATION PROCESSING 4.3(2005):159-197.
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