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arXiv quant-ph/0202065quant-ph
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用于量子信息处理的有效哈密顿量的强调制脉冲设计

Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing

Evan M. Fortunato, Marco A. Pravia, Nicolas Boulant, Grum Teklemariam, Timothy F. Havel, David G. Cory

摘要:

我们描述了一种方法,通过使用系统的哈密顿量的详细知识,提高相干控制。精确的么正变换是通过强烈地调制系统的动力学来平均掉不需要的进化而获得的。借助于数值搜索方法,获得了在多量子比特系统上执行精确、任意、选择性门的脉冲辐照方案。与不能平均掉所有不想要的演变的低功率选择性脉冲相比,这些脉冲在时间上显著更短,从而减少弛豫效应。在homestrant自旋系统上的液态NMR技术被用来证明这些门在模拟和实验中的准确性。对3量子比特系统的相干演化的模拟表明,控制序列忠实地实现了幺正操作,通常产生0.999量级的门量子数,对于某些序列,高达0.9997。实验确定的密度矩阵从不同的控制序列的应用程序上的3自旋系统具有高达0.99的重叠与预期的状态,确认实验实施的质量。

英文摘要:

We describe a method for improving coherent control through the use of detailed knowledge of the system's Hamiltonian. Precise unitary transformations were obtained by strongly modulating the system's dynamics to average out unwanted evolution. With the aid of numerical search methods, pulsed irradiation schemes are obtained that perform accurate, arbitrary, selective gates on multi-qubit systems. Compared to low power selective pulses, which cannot average out all unwanted evolution, these pulses are substantially shorter in time, thereby reducing the effects of relaxation. Liquid-state NMR techniques on homonuclear spin systems are used to demonstrate the accuracy of these gates both in simulation and experiment. Simulations of the coherent evolution of a 3-qubit system show that the control sequences faithfully implement the unitary operations, typically yielding gate fidelities on the order of 0.999 and, for some sequences, up to 0.9997. The experimentally determined density matrices resulting from the application of different control sequences on a 3-spin system have overlaps of up to 0.99 with the expected states, confirming the quality of the experimental implementation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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