YANG-BAXTER EQUATION, MAJORANA FERMIONS AND THREE BODY ENTANGLING STATES

被引：7

作者：

Ge, Mo-Lin ^{[1
]}

Yu, Li-Wei ^{[1
]}

Xue, Kang ^{[2
]}

Zhao, Qing ^{[3
]}

机构：

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] NE Normal Univ, Dept Phys, Changchun 130024, Peoples R China

[3] Beijing Inst Technol, Phys Coll, Beijing 100081, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2014年 / 28卷 / 09期

关键词：

Yang-Baxter equation; Quantum entanglement; Lorentz additivity for spectral parameters; three body S-matrix; UNIVERSAL QUANTUM GATES;

D O I：

10.1142/S0217979214500891

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we review some results obtained in our works with extension. The new type of braiding matrices called type-II has been extended to the solutions of Yang-Baxter equations (YBE). It is related to quantum entangling states. The four-dimensional realization is connected with Majorana fermions and the two-dimensional realization for the topological basis is the wigner D-J-function with J = 1/2. The YBE leads to the conclusion that the additivity rule of velocities for two anyons obeys Lorentz rather than Galilean. The discussion is extended to three body S-matrix formed by three two-body S-matrices. The three-qubit entanglement based on two-qubit entanglements is discussed.

引用

页数：19

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