Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian

Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian We present a method to construct “X” form unitary Yang-Baxter $${\breve R}$$ matrices, which act on the tensor product space $${V_{i}^{j_{1}}\otimes V_{i+1}^{j_{2}}}$$ . We can obtain a set of entangled states for (2j 1 + 1) × (2j 2 + 1)-dimensional system with these Yang-Baxter $${\breve R}$$ matrices. By means of Yang-Baxter approach, a 8 × 8 Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian

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Publisher
Springer US
Copyright
Copyright © 2011 by Springer Science+Business Media, LLC
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-011-0332-0
Publisher site
See Article on Publisher Site

Abstract

We present a method to construct “X” form unitary Yang-Baxter $${\breve R}$$ matrices, which act on the tensor product space $${V_{i}^{j_{1}}\otimes V_{i+1}^{j_{2}}}$$ . We can obtain a set of entangled states for (2j 1 + 1) × (2j 2 + 1)-dimensional system with these Yang-Baxter $${\breve R}$$ matrices. By means of Yang-Baxter approach, a 8 × 8 Yang-Baxter Hamiltonian is constructed. Yangian symmetry and Yangian generators as shift operators for this Yang-Baxter system are investigated in detail.

Journal

Quantum Information ProcessingSpringer Journals

Published: Nov 16, 2011

References

  • Quantum information and computation
    Bennett, C.H.; DiVincenzo, D.P.

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