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Quantum systems are exceedingly difficult to engineer because they are sensitive to various types of noises. In particular, time-dependent noises are frequently encountered in experiments but how to overcome them remains a challenging…

量子物理 · 物理学 2022-05-06 Xiaodong Yang , Xinfang Nie , Tao Xin , Dawei Lu , Jun Li

We show that if an efficient classical representation of the dynamics exists, optimal control problems on many-body quantum systems can be solved efficiently with finite precision. We show that the size of the space of parameters necessary…

量子物理 · 物理学 2014-07-09 S. Lloyd , S. Montangero

We present a general method to efficiently design optimal control sequences for non-Markovian open quantum systems, and illustrate it by optimizing the shape of a laser pulse to prepare a quantum dot in a specific state. The optimization of…

量子物理 · 物理学 2023-07-11 Gerald E. Fux , Eoin P. Butler , Paul R. Eastham , Brendon W. Lovett , Jonathan Keeling

We developed simulation methodology to assess eventual therapeutic efficiency of exogenous multiparametric changes in a four-component cellular system described by the system of ordinary differential equations. The method is numerically…

组织与器官 · 定量生物学 2018-06-05 Denis Horváth , Branislav Brutovsky

This paper presents an analytical treatment of the path integral formalism for time-dependent quantum systems within the framework of Wigner-Dunkl mechanics, emphasizing systems with varying masses and time-dependent potentials. By…

量子物理 · 物理学 2026-01-01 A. Benchikha , B. Hamil , B. C. Lütfüoğlu

Efficient simulation of quantum dynamics with time-dependent Hamiltonians is important not only for time-varying systems but also for time-independent Hamiltonians in the interaction picture. Such simulations are more challenging than their…

量子物理 · 物理学 2025-09-09 Di Fang , Diyi Liu , Shuchen Zhu

The notion of the optimized perturbation, which has been successfully applied to energy eigenvalues, is generalized to treat wave functions of quantum systems. The key ingredient is to construct an envelope of a set of perturbative wave…

高能物理 - 理论 · 物理学 2014-11-18 T. Hatsuda , T. Kunihiro , T. Tanaka

Using the tools of the Markov Decision Processes, we justify the dynamic programming approach to the optimal impulse control of deterministic dynamical systems. We prove the equivalence of the integral and differential forms of the…

最优化与控制 · 数学 2019-08-06 Alexey Piunovskiy , Alexander Plakhov , Delfim F. M. Torres , Yi Zhang

Precision measurements of frequency are critical to accurate timekeeping, and are fundamentally limited by quantum measurement uncertainties. While for time-independent quantum Hamiltonians, the uncertainty of any parameter scales at best…

量子物理 · 物理学 2017-11-08 M. Naghiloo , A. N. Jordan , K. W. Murch

The simulation of quantum systems has been a key aim of quantum technologies for decades, and the generalisation to open systems is necessary to include physically realistic systems. We introduce an approach for quantum simulations of open…

量子物理 · 物理学 2015-09-14 Benjamin Dive , Florian Mintert , Daniel Burgarth

We explore the physical limits of pulsed dynamical decoupling methods for decoherence control as determined by finite timing resources. By focusing on a decohering qubit controlled by arbitrary sequences of $\pi$-pulses, we establish a…

量子物理 · 物理学 2011-04-11 Kaveh Khodjasteh , Tamás Erdélyi , Lorenza Viola

A general approach is introduced for the efficient simultaneous optimization of pulses that compensate each other' s imperfections within the same scan. This is applied to broadband Ramsey-type experiments, resulting in pulses with…

量子物理 · 物理学 2015-06-19 Michael Braun , Steffen J. Glaser

A novel expansion of the evolution operator associated with a -- in general, time-dependent -- perturbed quantum Hamiltonian is presented. It is shown that it has a wide range of possible realizations that can be fitted according to…

量子物理 · 物理学 2009-11-11 Paolo Aniello

We provide a synopsis of an effective approach to the problem of time in the semiclassical regime. The essential features of this new approach to evaluating relational quantum dynamics in constrained systems are illustrated by means of a…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Philipp A. Hoehn

Quantum control is concerned with active manipulation of physical and chemical processes on the atomic and molecular scale. This work presents a perspective of progress in the field of control over quantum phenomena, tracing the evolution…

量子物理 · 物理学 2010-07-20 Constantin Brif , Raj Chakrabarti , Herschel Rabitz

The validity of optimized dynamical decoupling (DD) is extended to analytically time dependent Hamiltonians. As long as an expansion in time is possible the time dependence of the initial Hamiltonian does not affect the efficiency of…

量子物理 · 物理学 2010-03-17 Stefano Pasini , Götz S. Uhrig

A pulse of matter waves may dramatically change its shape when traversing an absorbing barrier with time-dependent transparency. Here we show that this effect can be utilized for controlled manipulation of spatially-localized quantum…

量子物理 · 物理学 2015-05-04 Arseni Goussev

A novel perturbative treatment of the time evolution operator of a quantum system is applied to the model describing a Raman-driven trapped ion in order to obtain a suitable 'effective model'. It is shown that the associated effective…

量子物理 · 物理学 2008-12-19 Benedetto Militello , Paolo Aniello , Antonino Messina

A precise time-dependent control of a quantum system relies on an accurate account of the quantum interference among the system, the control and the environment. A diagrammatic technique has been recently developed to precisely calculate…

介观与纳米尺度物理 · 物理学 2015-05-30 Ching-Kit Chan , L. J. Sham

We define a perturbative approximation for the solution of Lindblad master equations with time-dependent generators that satisfies the fundamental property of complete positivity, as essential for quantum simulations and optimal control.…

量子物理 · 物理学 2015-04-08 Farhang Haddadfarshi , Jian cui , Florian Mintert