In this work we develop a numerical framework to investigate the renormalization of the non-Markovian dynamics of an open quantum system to which dynamical decoupling is applied. We utilize a non-Markovian master equation which is derived from the non-Markovian quantum trajectories formalism. It contains incoherent Markovian dynamics and coherent Schrödinger dynamics as its limiting cases and is capable of capture the transition between them. We have performed comprehensive simulations for the cases in which the system is either driven by the Ornstein-Uhlenbeck noise or or is described by the spin-boson model. The renormalized dynamics under bang-bang control and continuous dynamical decoupling are simulated. Our results indicate that the renormalization of the non-Markovian dynamics depends crucially on the spectral density of the environment and the envelop of the decoupling pulses. The framework developed in this work hence provides an unified approach to investigate the efficiency of realistic decoupling pulses. This work also opens a way to further optimize the decoupling via pulse shaping.
Non-Markovian Quantum Error Deterrence by Dynamical Decoupling in a General Environment
研究了一种动态解耦方案，用于阻止非马尔可夫（通常对应于低温、短时间和强耦合）机制中的错误，该机制适用于由多级结构构造的量子比特。我们采用最近提出的有效自旋玻色子模型[K.盐川和B. L. Hu，Phys.Rev.A70，062106（2004）]作为量子布朗振子模型的低温极限，其中可以获得具有色噪声的一般环境的精确解。在我们的解耦方案中，一个训练的强脉冲对被用来发展的相互作用哈密顿量瞬间。使用此方案，我们表明，动态解耦方法可以抑制$1/f$噪声与更慢，因此更容易访问的脉冲比以前的研究，但它仍然未能解耦超欧姆类型的环境。
Sharjah Maritime Academy（沙迦海事学院）；Indian Institute of Technology Jodhpur（印度理工学院乔德普尔分校）；University of the Basque Country UPV/EHU（巴斯克大学）；IKERBASQUE, Basque Foundation for Science（伊卡巴萨奎，巴斯克科学基金会）；EHU Quantum Center（EHU量子中心）
Entanglement dynamics of multi-fluxonium-qubits under Non-Markovian TLS noise
College of physics, Hangzhou Dianzi University（杭州电子科技大学物理学院）；Shanxi University（山西大学）；Zhejiang Key Laboratory of Quantum State Control and Optical Field Manipulation, Hangzhou Dianzi University（杭州电子科技大学量子态调控与光场操纵浙江省重点实验室）
Heisenberg-limited metrology in the presence of non-Markovian noise with finite control rates
Center for Quantum Information and Control, University of New Mexico（新墨西哥大学量子信息与控制中心）；Department of Physics and Astronomy, University of New Mexico（新墨西哥大学物理与天文学系）
Scalable quantum error mitigation for dynamical decoupling via Hadamard phase cycling
Westlake University（西湖大学）；Westlake Institute for Advanced Study（西湖高等研究院）；Anhui Province Key Laboratory of Scientific（安徽省科学重点实验室）；New York University Abu Dhabi（阿布扎比纽约大学）；University of Science（科技大学）
Analytical Control of Quantum Coherence: Markovian Revival via Basis Engineering and Exact Non-Markovian Criteria
School of Electronic Science and Engineering, Chongqing University of Posts and Telecommunications（重庆邮电大学电子科学与工程学院）；School of Integrated Circuits, Chongqing University of Posts and Telecommunications（重庆邮电大学集成电路学院）
Correlation-Assisted Odd-Parity Encoded Gates in Coupled Fluxonium Qubits under Non-Markovian TLS Noise
School of Physics, Hangzhou Dianzi University（杭州电子科技大学物理学院）；State Key Laboratory of Quantum Optics Technologies and Devices, Shanxi University（山西大学量子光学技术与器件国家重点实验室）；Zhejiang Key Laboratory of Quantum State Control and Optical Field Manipulation, Hangzhou Dianzi University（杭州电子科技大学量子态调控与光场操纵浙江省重点实验室）
Unveiling coherent dynamics in non-Markovian open quantum systems: exact expression and recursive perturbation expansion
Università degli Studi di Milano（米兰大学）；INFN, Sezione di Milano（意大利国家核物理研究所米兰分部）；Institute of Physics, University of Freiburg（弗赖堡大学物理研究所）；EUCOR Centre for Quantum Science and Quantum Computing, University of Freiburg（弗赖堡大学EUCOR量子科学与量子计算中心）；Naturwissenschaftlich-Technische Fakultät, Universität Siegen（锡根大学自然科学与技术学院）；Física Teòrica: Informació i Fenòmens Quàntics, Department de Física, Universitat Autònoma de Barcelona（巴塞罗那自治大学物理系理论物理：信息与量子现象部门）
An exact Markovian decoherence dynamics of two interacting harmonic oscillators coupled to a bosonic heat bath
HUN-REN Wigner Research Centre for Physics（匈牙利科学院维格纳物理研究中心）；Department of Pharmaceutics, Semmelweis University（塞梅尔维斯大学药剂学系）；Forschungszentrum Jülich, Institute of Quantum Control (PGI-8)（于利希研究中心量子控制研究所）；Institute of Physics, University of Pécs（佩奇大学物理研究所）；Department of Physics of Complex Systems, Eötvös Loránd University, ELTE（罗兰大学复杂系统物理系）
Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
Johns Hopkins University（约翰斯·霍普金斯大学）；Johns Hopkins University Applied Physics Laboratory（约翰斯·霍普金斯大学应用物理实验室）；IBM Quantum, IBM Thomas J Watson Research Center（IBM量子，IBM托马斯·J·沃森研究中心）
Forked Physics-Informed Neural Networks for Non-Markovian Open Quantum Dynamics and Control
College of Physics and Optoelectronic Engineering, Ocean University of China（中国海洋大学物理与光电工程学院）；China Mobile (Suzhou) Software Technology Co., Ltd（中国移动（苏州）软件技术有限公司）；School of Information Management and School of Artificial Intelligence, Qingdao University of Technology（青岛理工大学信息管理学院和人工智能学院）；Engineering Research Center of Advanced Marine Physical Instruments and Equipment of Ministry of Education, Ocean University of China（教育部海洋先进物理仪器装备工程研究中心）；Qingdao Key Laboratory of Optics and Optoelectronics, Ocean University of China（青岛市光学与光电技术重点实验室）
School of Science, Dalian Maritime University（大连海事大学理学院）；Center for Quantum Sciences and School of Physics, Northeast Normal University（东北师范大学量子科学中心与物理学院）
