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理论物理通讯：英文版

Effects of Unequal Couplings on Fidelity of a Quantum Controlled-Controlled-Not Gate

Wu, Yin-Zhong, Shi, Cuihua, PAN Pan, Tao -, LI ., Zhenya

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

由数字地解决一个 three-nuclear-spin 系统的 Schodinger 方程，效果不一致近邻居(NN ) 量 controlled-controlled-not (CCN ) 的忠实上的相互作用门为一个数字起始的状态和重叠被调查起始的状态分别地。它从我们的模拟被发现联合 δJ 到联合 J 的 NN 的 NN 的偏差的比率应该比 0.0005 小保证量 CCN 门的高保真度。

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由数字地解决一个 three-nuclear-spin 系统的 Schodinger 方程，效果不一致近邻居(NN ) 量 controlled-controlled-not (CCN ) 的忠实上的相互作用门为一个数字起始的状态和重叠被调查起始的状态分别地。它从我们的模拟被发现联合 δJ 到联合 J 的 NN 的 NN 的偏差的比率应该比 0.0005 小保证量 CCN 门的高保真度。
We present the study of a quantum Controlled-Controlled-Not gate, implemented in a chain of three nuclear spins weakly Ising interacting between all of them, that is, taking into account first and second neighbor spin interactions. This implementation is done using a single resonant πππ-pulse on the initial state of the system (digital and superposition). The fidelity parameter is used to determine the behavior of the CCN quantum gate as a function of the ratio of the second neighbor interaction coupling constant to the first neighbor interaction coupling constant (J′/JJ'/JJ′/J). We found that for J′/J≥0.02J'/J\ge 0.02J′/J≥0.02 we can have a well defined CCN quantum gate.
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 present the study of a quantum Controlled-Controlled-Not gate, implemented in a chain of three nuclear spins weakly Ising interacting between all of them, that is, taking into account first and second neighbor spin interactions. This implementation is done using a single resonant pi\\pipi-pulse on the initial state of the system (digital and superposition). The fidelity parameter is used to determine the behavior of the CCN quantum gate as a function of the ratio of the second neighbor interaction coupling constant to the first neighbor interaction coupling constant (J′/JJ'/JJ′/J). We found that for J′/Jge0.02J'/J\\ge 0.02J′/Jge0.02 we can have a well defined CCN quantum gate.