A representation of extra-special 2-group, entanglement, and Berry phase of two qubits in Yang-Baxter system

被引：0
|
作者：
Sezer, Hasan Cavit [1 ]
Heydari, Hoshang [1 ]
机构：
[1] Univ Stockholm, Dept Phys, S-10691 Stockholm, Sweden
来源：
QUANTUM INFORMATION PROCESSING | 2012年 / 11卷 / 06期
基金：
瑞典研究理事会;
关键词：
Qubits; Extra-special; 2-group; Braiding group; Berry phase; Entanglement; Yang-Baxter system; UNIVERSAL QUANTUM GATES;
D O I：
10.1007/s11128-011-0329-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we show another representations of extra-special 2-groups. Based on this new representation, we infer a matrix which obeys the extra-special 2-groups algebra relations. We also derive a unitary matrix from the using the Yang-Baxterization process. A Hamiltonian for the two qubits is constructed from the unitary matrix. In this way, we study the Berry phase and entanglement of the two-qubit system. The results also establish relations between topological and holonomic quantum computation.
引用
收藏
页码：1685 / 1694
页数：10
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