YANG-BAXTER EQUATION, MAJORANA FERMIONS AND THREE BODY ENTANGLING STATES
YANG-BAXTER EQUATION, MAJORANA FERMIONS AND THREE BODY ENTANGLING STATES
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DOI：
10.1142/s0217979214500891
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发表时间：
2014-04-10
影响因子：
1.7
通讯作者：
Zhao, Qing
中科院分区：
文献类型：
--
作者：
Ge, Mo-Lin;Yu, Li-Wei;Zhao, Qing
在本文中，我们回顾了我们的工作中得到的一些结果与推广。本文将一类新的辫子矩阵（称为Ⅱ型）推广到Yang-Baxter方程（YBE）的解。它与量子纠缠态有关。四维实现与Majorana费米子连接，拓扑基的二维实现是J = 1/2的Wigner D-J函数。YBE的结论是，两个任意子的速度的可加性规则服从洛伦兹而不是伽利略。将讨论推广到由三个二体S-矩阵构成的三体S-矩阵。讨论了基于两量子比特纠缠的三量子比特纠缠。
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.