An expression of the Lindbladian form is proposed that ensures an unambiguous time-continuous reduction of the initial system-pointer wave-packet to one in which the readings and the observable's values are aligned, formalized as the transition from an outer product to an inner product of the system's and apparatus' density matrices. The jump operators are in the basis of the observables, with uniquely determined parameters derived from the measurement set-up (thereby differing from S. Weinberg's Lindbladian resolution of wave-packet formalism) and conforming to Born's probability rules. The novelty lies in formalising the adaptability of the surroundings (including the measuring device) to the mode of observation. Accordingly, the transition is of finite duration (in contrast to its instantaneousness in the von Neumann's formulation). This duration is estimated for a simple half-spin-like model.
Noise-induced suppression of MPO truncation errors in noisy random circuits and Lindbladian dynamics
Joint Center for Quantum Information and Computer Science, NIST/University of Maryland(量子信息与计算机科学联合中心,美国国家标准与技术研究院/马里兰大学);Joint Quantum Institute, NIST/University of Maryland(联合量子研究所,美国国家标准与技术研究院/马里兰大学);National Institute of Standards and Technology(美国国家标准与技术研究院);Department of Physics, University of Basel(巴塞尔大学物理系);Department of Mathematical Sciences, University of Copenhagen(哥本哈根大学数学科学系)
Time-dependent Schrieffer-Wolff-Lindblad Perturbation Theory: measurement-induced dephasing and second-order Stark shift in dispersive readout
我们发展了一个含时的Schriff-Wolff-Lindblad微扰理论来研究受驱动的开放量子系统的有效相互作用。我们的分析的出发点是一个给定的林德布拉德方程,基于此,我们得到一个有效的(平均)的地图,描述了由于驱动器的哈密顿量和崩溃运营商的重整化。作为一个案例研究,我们将这种方法应用到色散读出的transmon量子比特,并推导出一个有效的disperive地图,描述测量引起的退相和斯塔克位移的transmon。我们得到的有效映射是完全正的,并且在绝热谐振腔响应下是保迹的。基准我们的方法,我们表现出良好的协议,通过Lindbladian频谱的有效率的数值计算。我们的结果也与Gambetta等人(Phys. Rev. A 74,042318(2006))使用谐振器场的正P表示对这种效应的早期推导一致,并在此基础上进行了扩展。
Machine learning for predicting control landscape maps of quantum molecular dynamics: Laser-induced three-dimensional alignment of asymmetric top molecules
Uniformity Bias in Ground-State Sampling Induced by Replica Alignment in Quantum Monte Carlo for Quantum Annealing
Graduate School of Information Science, Tohoku University(东北大学信息科学研究院);Department of Physics, Institute of Science Tokyo(东京科学大学物理学系);Semiconductors and Informatics, Kumamoto University(熊本大学半导体与信息学部门);Sigma-i Co., Ltd.(Sigma-i有限公司)
Synchronized Spin Trajectories under Collective Weak Measurements
CESQ/ISIS (UMR 7006), CNRS and Université de Strasbourg(法国国家科学研究中心与斯特拉斯堡大学);Laboratory of Quantum Information, University of Science and Technology of China(中国科学技术大学量子信息实验室);Anhui Province Key Laboratory of Quantum Network, University of Science and Technology of China(中国科学技术大学安徽省量子网络重点实验室);CAS Center For Excellence in Quantum Information and Quantum Physics(中国科学院量子信息与量子物理学前沿卓越创新中心)