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arXiv 0705.1784quant-ph
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来自任何交换交互的单步受控非逻辑

Single-step controlled-NOT logic from any exchange interaction

Andrei Galiautdinov

摘要:

介绍了一种研究耦合量子比特幺正演化的自包含方法,该方法能够处理由包含拉比项的交换哈密顿描述的各种物理系统。该方法自动确定外尔室转向轨迹和伴随的局部旋转。特别注意的情况下,各向异性交换跟踪控制,这是解析解决。结果表明,如果计算子空间是很好的隔离,任何交换相互作用总是可以产生高保真,单步控制非(CNOT)逻辑,提供了两个量子位可以单独操纵。然后将结果应用于超导量子位架构,确定了几个CNOT门实现。本文最后考虑两个CNOT门的设计,具有高效率和操作没有显着泄漏到更高的非计算状态。

英文摘要:

A self-contained approach to studying the unitary evolution of coupled qubits is introduced, capable of addressing a variety of physical systems described by exchange Hamiltonians containing Rabi terms. The method automatically determines both the Weyl chamber steering trajectory and the accompanying local rotations. Particular attention is paid to the case of anisotropic exchange with tracking controls, which is solved analytically. It is shown that, if computational subspace is well isolated, any exchange interaction can always generate high-fidelity, single-step controlled-NOT (CNOT) logic, provided that both qubits can be individually manipulated. The results are then applied to superconducting qubit architectures, for which several CNOT gate implementations are identified. The paper concludes with consideration of two CNOT gate designs having high efficiency and operating with no significant leakage to higher-lying non-computational states.

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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