Dynamic decoupling for multi-level systems

IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Zhang Zhi-da, Yi Kang-yuan, Chen Yuan-zhen, Yan Fei
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引用次数: 0

Abstract

Dynamical decoupling refers to a family of techniques that are widely used to suppress decoherence in various quantum systems caused by quasi-static environmental noise. They have broad applications in the field of quantum information processing. Conventional dynamical decoupling targets at noise in two-level systems such as qubits and often consists specifically engineered sequences of π pulses that swap between two different states. On the other hand, researchers have gone beyond simple two-levels systems seeking for even more efficient quantum hardware. A variety of quantum algorithms and schemes of quantum control using multi-level systems, such as qutrits and qudits, for quantum information processing have been proposed and some of them being implemented successfully. However, decoherence in such multi-level systems is inherently more sophisticated than that in two-level systems. So far there has been little systematic research on how to tackle decoherence issues in such systems. In this work, we propose several sequences of dynamical decoupling for 19 multi-level systems that only rely on π pulses linking neighboring levels, which is experimentally friendly. Our results show that these sequences can efficiently suppress quasi-static noise presented in multi-level systems. In addition, by calculating the corresponding filter functions of these sequences, we are able to further analyze the effect of them on generic Gaussian noise that may not be quasi-static. We also give a physical interpretation of the noise filtering mechanism of these sequences by considering their control functions. Other topics discussed in our work include power spectral density and correlation of noise in multi-level systems. Our work represents a first step towards a more systematic investigation of dynamical decoupling techniques applicable to multilevel systems.
多级系统的动态解耦
动态解耦是一种广泛用于抑制各种量子系统中由准静态环境噪声引起的退相干的技术。它们在量子信息处理领域有着广泛的应用。传统的动态解耦是针对两级系统(如量子位)中的噪声,通常由在两种不同状态之间交换的π脉冲序列组成。另一方面,研究人员已经超越了简单的两级系统,寻求更高效的量子硬件。在量子信息处理中,人们提出了多种量子算法和量子控制方案,其中一些已经成功实现。然而,这种多层次系统中的退相干本质上比两级系统中的退相干更为复杂。到目前为止,关于如何解决这类系统中的退相干问题的系统研究还很少。在这项工作中,我们提出了19个多级系统的动态解耦序列,这些系统只依赖于连接邻近水平的π脉冲,这是实验友好的。结果表明,这些序列可以有效地抑制多级系统中的准静态噪声。此外,通过计算这些序列对应的滤波函数,我们可以进一步分析它们对可能不是准静态的一般高斯噪声的影响。我们还通过考虑它们的控制函数给出了这些序列的噪声滤波机制的物理解释。在我们的工作中讨论的其他主题包括功率谱密度和噪声在多层次系统中的相关性。我们的工作是朝着更系统地研究适用于多层系统的动态解耦技术迈出的第一步。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
物理学报
物理学报 物理-物理:综合
CiteScore
1.70
自引率
30.00%
发文量
31245
审稿时长
1.9 months
期刊介绍: Acta Physica Sinica (Acta Phys. Sin.) is supervised by Chinese Academy of Sciences and sponsored by Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences. Published by Chinese Physical Society and launched in 1933, it is a semimonthly journal with about 40 articles per issue. It publishes original and top quality research papers, rapid communications and reviews in all branches of physics in Chinese. Acta Phys. Sin. enjoys high reputation among Chinese physics journals and plays a key role in bridging China and rest of the world in physics research. Specific areas of interest include: Condensed matter and materials physics; Atomic, molecular, and optical physics; Statistical, nonlinear, and soft matter physics; Plasma physics; Interdisciplinary physics.
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