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Chinese Physics Letters

Single Qubit and Its Universal Logic Gate Made of a Heisenberg Spin Cluster with Five Particles

陶军, Shun-Jin Wang

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

我们调查一有五个粒子的营养的海森堡旋转簇由一个时间依赖者磁场控制了的一种著名软件压缩工具。与代数学的动态方法,我们获得准确分析答案到时间依赖者 Schrodinger 方程。基于分析,系统能被用作通用单个讥讽,这被显示出它磁场的力量和频率控制的逻辑门,和六个专辑挑选讥讽它逻辑门能身体上被认识到。我们也讨论讥讽的 anti-decoherence 性质它和它的逻辑门簇源于联合效果的粒子并且一起。

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我们调查一有五个粒子的营养的海森堡旋转簇由一个时间依赖者磁场控制了的一种著名软件压缩工具。与代数学的动态方法,我们获得准确分析答案到时间依赖者 Schrodinger 方程。基于分析,系统能被用作通用单个讥讽,这被显示出它磁场的力量和频率控制的逻辑门,和六个专辑挑选讥讽它逻辑门能身体上被认识到。我们也讨论讥讽的 anti-decoherence 性质它和它的逻辑门簇源于联合效果的粒子并且一起。
我们调查海森堡旋转簇,二个粒子由一个时间依赖者磁场控制了。系统被调节三步的时间依赖者磁场的振幅,频率,和相互作用时间控制。然后,我们解决二粒子的系统的时间依赖者 Schrodinger 方程,并且获得时间进化操作符。由 three-timestep 相互作用,波浪功能从起始的状态演变到最后的状态,和全部的进化操作员能被表示为三个进化操作员的一个产品。由调整物理参数,关键 two-qubit 逻辑门, C 不门,能身体上被认识到。
We investigate an anisotropic Heisenberg spin cluster with five particles controlled by a time-dependent magnetic field. With the algebraic dynamical method, we obtain the exact analytical solution to the time dependent Schrödinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and the six special single qubit logic gates can be realized physically. We also discuss the anti-decoherence property of the qubit and its logic gates resulted from particle coupling effect and collectivity of the cluster.
We investigate an annular spin cluster made of three particles with anisotropic Heisenberg-chain controlled by a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, we have obtained the exact analytical solution to the time dependent Schrdinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and consequently six special single qubit logic gates can be realized.