Non-adiabatic quantum control of quantum dot arrays with fixed exchange using Cartan decomposition
Non-adiabatic quantum control of quantum dot arrays with fixed exchange using Cartan decomposition
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DOI：
10.1098/rsta.2021.0275
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发表时间：
2022-07
期刊：
影响因子：
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通讯作者：
David W. Kanaar;Utkan Güngördü;J. Kestner
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文献类型：
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作者：
David W. Kanaar;Utkan Güngördü;J. Kestner
在通常通过短程交换耦合相互作用的半导体自旋量子位中，自旋的穿梭是在远距离量子位之间产生量子操作的实用方式。虽然交换通常通过施加到栅电极的电压可调，但其最小值可能非常大，这阻碍了现有穿梭协议对此类器件的适用性，需要不同的方法。在这项工作中，我们扩展了我们以前的双点和三点系统的结果，并描述了一种方法来实现自旋状态转移的单占据量子点在一个非绝热的方式在长链。我们利用Cartan分解成更简单的问题，在一个系统的方式，并使用动态不变量设计平滑的非绝热脉冲，可以实现在设备中具有适度的控制带宽。最后，我们讨论了我们的结果的扩展到二维量子点晶格上的自旋态定向穿梭固定耦合。这篇文章是“绝热性的捷径：理论，实验和跨学科的观点”主题的一部分。
In semiconductor spin qubits which typically interact through short-range exchange coupling, shuttling of spin is a practical way to generate quantum operations between distant qubits. Although the exchange is often tunable through voltages applied to gate electrodes, its minimal value can be significantly large, which hinders the applicability of existing shuttling protocols to such devices, requiring a different approach. In this work, we extend our previous results for double- and triple-dot systems, and describe a method for implementing spin state transfer in long chains of singly occupied quantum dots in a non-adiabatic manner. We make use of Cartan decomposition to break down the interacting problem into simpler problems in a systematic way, and use dynamical invariants to design smooth non-adiabatic pulses that can be implemented in devices with modest control bandwidth. Finally, we discuss the extensibility of our results to directed shuttling of spin states on two-dimensional lattices of quantum dots with fixed coupling. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’.