# Entanglement and Yangian in a $${V^{\otimes 3}}$$ Yang-Baxter system

Entanglement and Yangian in a $${V^{\otimes 3}}$$ Yang-Baxter system In this paper, a 8 × 8 unitary Yang-Baxter matrix $${\breve{R}_{123}(\theta_{1},\theta_{2},\phi)}$$ acting on the triple tensor product space, which is a solution of the Yang-Baxter Equation for three qubits, is presented. Then quantum entanglement and the Berry phase of the Yang-Baxter system are studied. The Yangian generators, which can be viewed as the shift operators, are investigated in detail. And it is worth mentioning that the Yangian operators we constructed are independent of choice of basis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Entanglement and Yangian in a $${V^{\otimes 3}}$$ Yang-Baxter system

, Volume 11 (2) – Jun 7, 2011
11 pages

/lp/springer_journal/entanglement-and-yangian-in-a-v-otimes-3-yang-baxter-system-c2LBCN1sAF
Publisher
Springer Journals
Subject
Physics; Physics, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Computer Science, general; Mathematics, general
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0245-y
Publisher site
See Article on Publisher Site

### Abstract

In this paper, a 8 × 8 unitary Yang-Baxter matrix $${\breve{R}_{123}(\theta_{1},\theta_{2},\phi)}$$ acting on the triple tensor product space, which is a solution of the Yang-Baxter Equation for three qubits, is presented. Then quantum entanglement and the Berry phase of the Yang-Baxter system are studied. The Yangian generators, which can be viewed as the shift operators, are investigated in detail. And it is worth mentioning that the Yangian operators we constructed are independent of choice of basis.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Jun 7, 2011

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