Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits

Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits
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两个耦合仅交换量子位的驱动非线性动力学

DOI:
10.1103/physrevx.4.011012
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发表时间:
2013
期刊:
影响因子:
--
通讯作者:
B. Halperin
B. Halperin
中科院分区:
--
文献类型:
--
作者:
A. Pal;E. Rashba;B. Halperin

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受快速交换量子位的创建的启发(Medford等人,物理学评论快报,111,050501(2013)),我们开发了一种理论,描述了两个这样的量子位的非线性动力学,当它们中的一个以等于其能级分裂的频率被共振驱动时,这两个量子位是电容耦合的。我们包括强驱动的条件,其中拉比频率是能级分裂的重要部分,并且我们考虑第二个量子位的分裂可能与第一个相同或不同的情况。我们证明了通过阅读第二个量子比特的响应可以检测到量子比特之间的耦合,即使它们之间的耦合只有它们能级分裂的1%,并计算了量子比特之间的纠缠.耦合量子比特的非线性动力学模式及其纠缠强烈依赖于系统的几何形状,量子比特间耦合的特定机制深刻影响着两个量子比特的动力学。特别是,我们描述了两个量子比特系统中不规则动力学的发展,探索抑制它的方法,并证明存在一个最佳的耦合强度范围,在操作时间内保持稳定。
Inspired by creation of a fast exchange-only qubit (Medford et al., Phys. Rev. Lett., 111, 050501 (2013)), we develop a theory describing the nonlinear dynamics of two such qubits that are capacitively coupled, when one of them is driven resonantly at a frequency equal to its level splitting. We include conditions of strong driving, where the Rabi frequency is a significant fraction of the level splitting, and we consider situations where the splitting for the second qubit may be the same or different than the first. We demonstrate that coupling between qubits can be detected by reading the response of the second qubit, even when the coupling between them is only of about $1\%$ of their level splittings, and calculate entanglement between qubits. Patterns of nonlinear dynamics of coupled qubits and their entanglement are strongly dependent on the geometry of the system, and the specific mechanism of inter-qubit coupling deeply influences dynamics of both qubits. In particular, we describe the development of irregular dynamics in a two-qubit system, explore approaches for inhibiting it, and demonstrate existence of an optimal range of coupling strength maintaining stability during the operational time.
DOI: 10.1038/nphys1053
发表时间: 2008-10-01
期刊: NATURE PHYSICS
影响因子: 19.6
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通讯作者: Tarucha, S.
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