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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

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References (38)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Physics, general; Theoretical, Mathematical and Computational Physics; Quantum Physics; Computer Science, general; Mathematics, general
ISSN
1570-0755
eISSN
1573-1332
DOI
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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