Yang-Baxterizations, universal quantum gates and Hamiltonians
文献类型：期刊论文
| 作者 | 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. |
| 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 |
| ISSN号 | 1570-0755 |
| 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. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000241549700001 |
| 公开日期 | 2012-08-30 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/13778]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Kauffman, LH , Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St, Chicago, IL 60607 USA. |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：理论物理研究所
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