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arXiv 0802.3543quant-phcond-mat.supr-con
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采用非绝热快速通过的高保真普适量子门组

High fidelity universal set of quantum gates using non-adiabatic rapid passage

R. Li, M. Hoover, F. Gaitan

摘要:

数值模拟结果表明,一类非绝热快速通道扫描首先在1991年实验实现,应该能够实现一套通用的量子门G_{u},高保真度操作。构成G_{u}的门是Hadamard门和NOT门,以及相位门、π/8门和受控相位门的变体。通过证明G_{u}可以构造由Hadamard门、相位门、π/8门和受控非门组成的普适集合,证明了G_{u}的普适性。提供扫描参数值,模拟指示扫描参数值将在G_{u}中产生不同的门,并且对于扫描参数值,门错误概率P_{e}满足:(i)对于单量子位门,P_{e} < 10^{-4};以及(ii)对于修改的受控相位门,P_{e} <1.27 × 10^{-3}。此类扫描是非复合的,并产生可控的量子干涉效应,使G_{u}中的门能够在保持高保真度的同时进行非相干操作。这些干涉效应已经使用NMR观察到,并且先前已经示出了这些快速通道扫描如何可以应用于使用电场的原子系统。在这里,我们展示了如何将这些扫描可以应用到超导电荷和磁通量子比特系统。模拟表明,这些快速通道扫描产生的通用门G_{u}集显示出作为量子计算容错方案的可能元素的希望。

英文摘要:

Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a universal set of quantum gates G_{u} that operate with high fidelity. The gates constituting G_{u} are the Hadamard and NOT gates, together with variants of the phase, π/8, and controlled-phase gates. The universality of G_{u} is established by showing that it can construct the universal set consisting of Hadamard, phase, π/8, and controlled-NOT gates. Sweep parameter values are provided which simulations indicate will produce the different gates in G_{u}, and for which the gate error probability P_{e} satisfies: (i) P_{e} < 10^{-4} for the one-qubit gates; and (ii) P_{e} < 1.27x 10^{-3} for the modified controlled-phase gate. The sweeps in this class are non-composite and generate controllable quantum interference effects that allow the gates in G_{u} to operate non-adiabatically while maintaining high fidelity. These interference effects have been observed using NMR, and it has previously been shown how these rapid passage sweeps can be applied to atomic systems using electric fields. Here we show how these sweeps can be applied to both superconducting charge and flux qubit systems. The simulations suggest that the universal set of gates G_{u} produced by these rapid passage sweeps shows promise as possible elements of a fault-tolerant scheme for quantum computing.

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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