The role of the ℓ1-norm in quantum information theory and two types of the Yang–Baxter equation
The role of the ℓ1-norm in quantum information theory and two types of the Yang–Baxter equation
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DOI：
10.1088/1751-8113/44/26/265304
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发表时间：
2011-07
期刊：
影响因子：
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通讯作者：
K. Niu;K. Xue;Qing-Guo Zhao;M. Ge
中科院分区：
文献类型：
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作者：
K. Niu;K. Xue;Qing-Guo Zhao;M. Ge
利用Wigner的D-函数研究了Yang-Baxter系统中∑ 1-范数的作用，其中∑ 1-范数表示∑i| CI|为|Ψ⟩ = ∑iCi|吉尔吉尔维斯|是标准正交基。结果表明，现有的两种类型的辫子矩阵，这可以被视为具有不同的光谱参数的杨-巴克斯特方程（YBE）的特解，可以统一在二维YBE。我们证明了最大值与最大纠缠态和两分量任意子拓扑量子场论有关，而最小值则导致与常见可积模型有关的变形置换.
The role of the ℓ1-norm in the Yang–Baxter system has been studied through Wigner's D-functions, where ℓ1-norm means ∑i|Ci| for |Ψ⟩ = ∑iCi|ψi⟩ with |ψi⟩ 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 ℓ1-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.