考虑第二近邻耦合的Ising自旋链量子计算
Quantum computation in a Ising spin chain taking into account second neighbor couplings
摘要：
我们考虑实现一个量子计算机在一个链的核自旋耦合的伊辛相互作用。量子算法可以在适当的射频脉冲的帮助下进行。除了标准的最近邻伊辛耦合，我们还允许第二个邻居耦合。它示出，如何应用2πk方法在这个更一般的设置，其中额外的耦合最终允许节省一些脉冲。我们用两个数值模拟来说明我们的结果：数字4的Shor素数分解和沿着3个量子比特链的量子比特的隐形传态。在这两种情况下，最佳拉比频率（抑制非共振效应）主要取决于第二近邻相互作用的强度。
英文摘要：
We consider the realization of a quantum computer in a chain of nuclear spins coupled by an Ising interaction. Quantum algorithms can be performed with the help of appropriate radio-frequency pulses. In addition to the standard nearest-neighbor Ising coupling, we also allow for a second neighbor coupling. It is shown, how to apply the 2πk method in this more general setting, where the additional coupling eventually allows to save a few pulses. We illustrate our results with two numerical simulations: the Shor prime factorization of the number 4 and the teleportation of a qubit along a chain of 3 qubits. In both cases, the optimal Rabi frequency (to suppress non-resonant effects) depends primarily on the strength of the second neighbor interaction.
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