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中国科学通报：英文版

Dynamical decoupling of electron spins in phosphorus-doped silicon

Xing, Rong, Ya Ya, Wang, Jiahui Jiahui, Yang, Jin-Xian, Жу, Wanjie, Xu, PengBo, Feng, XuJie, Wen Wen, JiHu, Su, Jiangfeng, Du

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

量连贯是重要启用特征 underpinning 量计算。然而因为有它的吵闹的包围环境的 couplings， qubits 受不了 decoherence 效果。动态去耦(DD ) 技术使用导致脉搏的 qubit 扭动有效地减轻在 qubits 和环境之间的 couplings。最佳的 DD 与脉搏的最小的数字消除 dephasing 直到一个给定的命令。在这份报纸，我们首先在在照耀的 malonic 酸晶体延长电子旋转连贯上介绍我们的最近的工作并且在这个稳固的系统分析不同 decoherence 机制。然后，我们在另一个系统集中于电子旋转松驰性质，磷药的硅(Si : P ) 晶体。这些性质被脉搏电子调查了顺磁的回声(EPR ) 。我们也在这个系统上调查动态去耦技术的性能。用 8 脉搏周期的 DD，连贯时间能与一个脉搏控制与 112 s 相比被扩大到 296 s。

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量连贯是重要启用特征 underpinning 量计算。然而因为有它的吵闹的包围环境的 couplings， qubits 受不了 decoherence 效果。动态去耦(DD ) 技术使用导致脉搏的 qubit 扭动有效地减轻在 qubits 和环境之间的 couplings。最佳的 DD 与脉搏的最小的数字消除 dephasing 直到一个给定的命令。在这份报纸，我们首先在在照耀的 malonic 酸晶体延长电子旋转连贯上介绍我们的最近的工作并且在这个稳固的系统分析不同 decoherence 机制。然后，我们在另一个系统集中于电子旋转松驰性质，磷药的硅(Si : P ) 晶体。这些性质被脉搏电子调查了顺磁的回声(EPR ) 。我们也在这个系统上调查动态去耦技术的性能。用 8 脉搏周期的 DD，连贯时间能与一个脉搏控制与 112 s 相比被扩大到 296 s。
动态去耦(DD ) 消除由使用即时脉搏的一个序列联合的 qubit 洗澡。当时 qubit 洗澡 couplings 通常导致 qubit 松驰和 dephasing， qubit-qubit couplings 经常被用来操作或控制量状态。我们在二个 DD 计划，命名周期的 DD (PDD ) 和 Uhrig DD (UDD ) 调查可得到的控制操作，到看通用的量计算是否能在这些 decoupled 系统被认识到。我们发现通用控制周期性地用在两个的海森堡相互作用是可能的 decoupled 系统和 Uhrig decoupled 系统，和在二种 DD 序列下面的可得到的控制操作服从一样的交换关系。在 UDD 案例中，我们也为控制错误导出不平的界限。
在量信息处理，在吵闹的环境保护 qubits 的连贯是重要的。动态去耦(DD ) 它使用一个序列在 qubits 上扭动并且平均联合到零的 qubit 环境，是有另外的需要的功能的有希望的策略兼容机，例如量门。这里，我们在动态去耦和试验性的示范的理论考察最近的进步。我们由于联合到吵闹的环境给半古典作品和对 qubit 的量描述 decoherence。基于量图画， DD 的几何解释被介绍。周期的 Carr-Purcell-Meiboom-Gill DD 和并置的 DD 被考察，由最近发达的 Uhrig DD 的详细探索列在后面，它采用脉搏的最少的数字在一不相等地压制联合到进化时间的一个给定的命令的 qubit 环境的 spaced 顺序。一些新开发和观点也被讨论。
Dynamic decoupling (DD) can suppress decoherence caused by environmental noise, while in hybrid system it also hinders coherent manipulation between qubits. We realized the universal high-fidelity quantum gate set and the preparation of Bell states using dynamical decoupling gates (DD gates) in a silicon-based phosphorus-doped (Si:P) system, effectively resolving the contradiction between decoherence protection and manipulation of qubits. The simulation results show that the fidelity of the universal quantum gate set are all above 99%, and the fidelity of Bell state preparation is over 96%. This work realized the compatibility between coherent protection and high-fidelity manipulation of quantum states, provided a reliable theoretical support for high-fidelity quantum computing.
Dynamical decoupling (DD) is a promising tool for preserving the quantum states of qubits. However, small imperfections in the control pulses can seriously affect the fidelity of decoupling, and qualitatively change the evolution of the controlled system at long times. Using both analytical and numerical tools, we theoretically investigate the effect of the pulse errors accumulation for two aperiodic DD sequences, the Uhrig's DD UDD) protocol [G. S. Uhrig, Phys. Rev. Lett. {\bf 98}, 100504 (2007)], and the Quadratic DD (QDD) protocol [J. R. West, B. H. Fong and D. A. Lidar, Phys. Rev. Lett {\bf 104}, 130501 (2010)]. We consider the implementation of these sequences using the electron spins of phosphorus donors in silicon, where DD sequences are applied to suppress dephasing of the donor spins. The dependence of the decoupling fidelity on different initial states of the spins is the focus of our study. We investigate in detail the initial drop in the DD fidelity, and its long-term saturation. We also demonstrate that by applying the control pulses along different directions, the performance of QDD protocols can be noticeably improved, and explain the reason of such an improvement. Our results can be useful for future implementations of the aperiodic decoupling protocols, and for better understanding of the impact of errors on quantum control of spins.
Dynamical decoupling (DD) and bath engineering are two parallel techniques employed to mitigate qubit decoherence resulting from their unavoidable coupling to the environment. Here, we present a hybrid DD approach that integrates pulsed DD with bath spin polarization to enhance qubit coherence within the central spin model. This model, which can be realized using GaAs semiconductor quantum dots or analogous quantum simulators, demonstrates a significant extension of the central spin's coherence time by approximately 2 to 3 orders of magnitude that compared with the free-induced decay time, where the dominant contribution from DD and a moderate improvement from spin-bath polarization. This study, which integrates uniaxial dynamical decoupling and auxiliary bath-spin engineering, paves the way for prolonging coherence times in various practical quantum systems, including GaAs/AlGaAs, silicon and Si/SiGe. And this advancement holds substantial promise for applications in quantum information processing.