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Yang–Baxter equations and quantum entanglements
Quantum Information Processing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, Molin +3 more
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YANG–BAXTER EQUATIONS IN QUANTUM INFORMATION
International Journal of Modern Physics B, 2012The connection between Yang–Baxter system and quantum information has been discussed. Based on the topological basis for both Temperley–Lieb (TL) algebra and Birman–Wenzl (BW) algebra the representations of N by N braiding matrices associated with the corresponding N2 by N2 ones are obtained.
Ge, Mo-Lin, Xue, Kang
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2018
Let \(F\) be a linear space, \(R:F\otimes F\rightarrow F\otimes F\) an invertible linear map. It is well known that if \(R=S_{(12)}:f_1\otimes f_2 \mapsto f_2 \otimes f_1\), then one can define a representation of the symmetric group \({{\mathrm{S}}}_n\) on \(F^{\otimes n}\) by the following prescription: represent each element \(\sigma \in {{\mathrm{S}
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Let \(F\) be a linear space, \(R:F\otimes F\rightarrow F\otimes F\) an invertible linear map. It is well known that if \(R=S_{(12)}:f_1\otimes f_2 \mapsto f_2 \otimes f_1\), then one can define a representation of the symmetric group \({{\mathrm{S}}}_n\) on \(F^{\otimes n}\) by the following prescription: represent each element \(\sigma \in {{\mathrm{S}
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THE YANG-BAXTER EQUATION IN KNOT THEORY
International Journal of Modern Physics B, 1993The role played by the Yang-Baxter equation in generating knot invariants using the method of statistical mechanics is reexamined and elucidated. The formulation of knot invariants is made precise with the introduction of piecewise-linear lattices and enhanced vertex and interaction-round-a-face (IRF) models with strictly local weights.
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Rota—Baxter groups, skew left braces, and the Yang—Baxter equation
Journal of Algebra, 2022Vsevolod Gubarev
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HSS-like method for solving complex nonlinear Yang–Baxter matrix equation
Engineering With Computers, 2020Mehdi Dehghan, Akbar Shirilord
exaly