The role of the ?_1-norm in quantum information theory and two types of the Yang-Baxter equation

Niu K.; Xue K.; Zhao Q.; Ge M.-L.

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The role of the ?_1-norm in quantum information theory and two types of the Yang-Baxter equation

机译：？_1范数在量子信息论中的作用以及两种类型的Yang-Baxter方程

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The role of the ?_1-norm in the Yang-Baxter system has been studied through Wigner's D-functions, where ?_1-norm means ∑_i|C_i| for |Ψ> = ∑_iC _i|ψ_i> with |ψ_i> being the orthonormal basis. It is shown that the existing two types of braiding matrices, which can be viewed as particular solutions of the Yang-Baxter equation (YBE) with different spectral parameters can be unified in the 2D YBE. We prove that the maximum of the ?_1-norm is connected with the maximally entangled states and topological quantum field theory with two-component anyons, while the minimum leads to the deformed permutation related to the familiar integrable models.

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《Journal of physics, A. Mathematical and theoretical》 |2011年第26期|共25页
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Niu K.; Xue K.; Zhao Q.; Ge M.-L.;
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The role of the ?_1-norm in quantum information theory and two types of the Yang-Baxter equation

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