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.
PACS: 02.10.Yn; 02.10.Kn; 03.65.Ud; 03.67.Hk
Similar content being viewed by others
References
L. Kauffman and S. J. Lomonaco, New Journal of Physics, 4, (2002) URL: stacks.iop.org/1367-2630/4/73 (electronic) www.arxiv.orgquant-ph/0205137
J. Hietarinta, Phys. Lett. A, 165, 245(1992).
C. Kassel, Quantum Groups Graduate Texts in Mathematics (Springer-Verlag, New York, 1995).
L. Kauffman, Knots and Physics, 3rd ed. (World Scientific Publishing Co., Inc 2001).
L. Kauffman and S. J. Lomonaco, Questions about Quantum and Topological Entanglement (in preparation).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dye, H.A. Unitary Solutions to the Yang–Baxter Equation in Dimension Four. Quantum Information Processing 2, 117–152 (2003). https://doi.org/10.1023/A:1025843426102
Issue Date:
DOI: https://doi.org/10.1023/A:1025843426102