Yang–Baxterizations, Universal Quantum Gates and Hamiltonians
Yang–Baxterizations, Universal Quantum Gates and Hamiltonians
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DOI：
10.1007/s11128-005-7655-7
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发表时间：
2005-02
影响因子：
2.5
通讯作者：
Yong Zhang;L. Kauffman;M. Ge
中科院分区：
文献类型：
--
作者：
Yong Zhang;L. Kauffman;M. Ge
描述拓扑纠缠的酉编织算子可以被视为量子计算的通用量子门。借助布林斯基定理，量子杨-巴克斯特方程的酉解也可以与通用量子门相关。本文通过辫子关系的解通过杨-巴克斯特化导出了量子杨-巴克斯特方程的酉解。我们研究六顶点模型的非标准和标准表示的杨-巴克斯特化以及非零八顶点模型的完整解。我们构建负责酉编织算子的时间演化的哈密顿量，从而导出薛定谔方程。
The unitary braiding operators describing topological entanglements can be viewed as universal quantum gates for quantum computation. With the help of the Brylinski’s theorem, the unitary solutions of the quantum Yang–Baxter equation can be also related to universal quantum gates. This paper derives the unitary solutions of the quantum Yang–Baxter equation via Yang–Baxterization from the solutions of the braid relation. We study Yang–Baxterizations of the non-standard and standard representations of the six-vertex model and the complete solutions of the non-vanishing eight-vertex model. We construct Hamiltonians responsible for the time-evolution of the unitary braiding operators which lead to the Schrödinger equations.