Unitary Solutions to the Yang–Baxter Equation in Dimension Four

Unitary Solutions to the Yang–Baxter Equation in Dimension Four In this paper, we determine all unitary solutions to the Yang–Baxter equation in dimension four. Quantum computation motivates this study. This set of solutions will assist in clarifying the relationship between quantum entanglement and topological entanglement. We present a variety of facts about the Yang–Baxter equation for the reader unfamiliar with the equation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Unitary Solutions to the Yang–Baxter Equation in Dimension Four

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2003 by Plenum Publishing Corporation
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.
10.1023/A:1025843426102
Publisher site
See Article on Publisher Site

Abstract

In this paper, we determine all unitary solutions to the Yang–Baxter equation in dimension four. Quantum computation motivates this study. This set of solutions will assist in clarifying the relationship between quantum entanglement and topological entanglement. We present a variety of facts about the Yang–Baxter equation for the reader unfamiliar with the equation.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 18, 2004

References

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