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We propose a simple quantum algorithm for simulating highly oscillatory quantum dynamics, which does not require complicated quantum control logic for handling time-ordering operators. To our knowledge, this is the first quantum algorithm…

量子物理 · 物理学 2022-04-20 Dong An , Di Fang , Lin Lin

In this work we study the unitary time-evolutions of quantum systems defined on infinite-dimensional separable time-dependent Hilbert spaces. Two possible cases are considered: a quantum system defined on a stochastic interval and another…

量子物理 · 物理学 2019-05-22 Luca Curcuraci , Stefano Bacchi , Angelo Bassi

Achieving high-fidelity control of quantum systems is of fundamental importance in physics, chemistry and quantum information sciences. However, the successful implementation of a high-fidelity quantum control scheme also requires…

量子物理 · 物理学 2018-06-05 Yu Guo , Daoyi Dong , Chuan-Cun Shu

Strong-field quantum-state control is investigated, taking advantage of the full---amplitude and phase---characterization of the interaction between matter and intense ultrashort pulses via transient-absorption spectroscopy. A sequence of…

原子物理 · 物理学 2017-04-26 Stefano M. Cavaletto , Zoltán Harman , Thomas Pfeifer , Christoph H. Keitel

It is well-known that time-dependent Schr\"{o}dinger equation can only be exactly solvable in very rare cases, even for two-level quantum systems. Therefore, finding exact quantum dynamics under time-dependent Hamiltonian is not only of…

量子物理 · 物理学 2024-12-17 Zhi-Cheng He , Yi-Xuan Wu , Zheng-Yuan Xue

Relaxation effects impose fundamental limitations on our ability to coherently control quantum mechanical phenomena. In this letter, we establish physical limits on how closely can a quantum mechanical system be steered to a desired target…

量子物理 · 物理学 2009-11-10 N. Khaneja , B. Luy , S. J. Glaser

A pivotal task in quantum metrology, and quantum parameter estimation in general, is to de- sign schemes that achieve the highest precision with given resources. Standard models of quantum metrology usually assume the dynamics is fixed, the…

量子物理 · 物理学 2017-07-18 Jing Liu , Haidong Yuan

Differential sensitivity techniques originally developed to study the robustness of energy landscape controllers are generalized to the important case of closed quantum systems subject to continuously varying controls. Vanishing sensitivity…

量子物理 · 物理学 2025-10-13 Sean Patrick O'Neil , Edmond Jonckheere , Sophie Schirmer

The explicit criterion is derived in detail for the convergence of the Magnus expansion and the existence of the Magnus solution in the interaction picture, i.e., the exponential propagator in the weakly coupled spin (I=1/2) system SnAMX...…

量子物理 · 物理学 2012-04-24 Xijia Miao

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

系统与控制 · 计算机科学 2012-03-27 Ebru Aydin Gol , Calin Belta

Solutions to explicit time-dependent problems in quantum mechanics are rare. In fact, all known solutions are coupled to specific properties of the Hamiltonian and may be divided into two categories: One class consists of time-dependent…

量子物理 · 物理学 2007-05-23 Tobias Kramer , Marcos Moshinsky

The simulation of quantum dynamics on a digital quantum computer with parameterized circuits has widespread applications in fundamental and applied physics and chemistry. In this context, using the hybrid quantum-classical algorithm,…

量子物理 · 物理学 2023-07-19 Tangyou Huang , Yongcheng Ding , Léonce Dupays , Yue Ban , Man-Hong Yung , Adolfo del Campo , Xi Chen

Interfractional geometric uncertainties can lead to deviations of the actual delivered dose from the prescribed dose distribution. To better handle these uncertainties during treatment, the authors propose a dynamic framework for robust…

医学物理 · 物理学 2019-05-16 Michelle Böck , Kjell Eriksson , Anders Forsgren

We show how the dynamically nonlocal formulation of classical nuclear motion in the presence of quantal electronic transitions presented many years ago by Pechukas can be localized in time using time dependent perturbation theory to give an…

chem-ph · 物理学 2009-10-22 D. F. Coker , L. Xiao

Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

最优化与控制 · 数学 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

An important problem in applied dynamical systems is to compute the external forcing that provokes the largest response of a desired observable quantity. For this, we investigate the perturbation theory of Markov matrices in connection with…

动力系统 · 数学 2025-07-21 Manuel Santos Gutierrez , Niccolo Zagli , Giulia Carigi

Path integral-based simulation methodologies play a crucial role for the investigation of nuclear quantum effects by means of computer simulations. However, these techniques are significantly more demanding than corresponding classical…

统计力学 · 物理学 2018-01-17 Karsten Kreis , Kurt Kremer , Raffaello Potestio , Mark E. Tuckerman

We propose a quantum control scheme aimed at interacting systems that gives rise to highly selective coupling among their near-to-resonance constituents. Our protocol implements temporal control of the interaction strength, switching it on…

量子物理 · 物理学 2018-08-06 J. F. Haase , Z. -Y. Wang , J. Casanova , M. B. Plenio

Quantum technologies will ultimately require manipulating many-body quantum systems with high precision. Cold atom experiments represent a stepping stone in that direction: a high degree of control has been achieved on systems of increasing…

Creating precise timing devices at ultra-short time scales is not just an important technological challenge, but confronts us with foundational questions about timekeeping's ultimate precision limits. Research on clocks has either focused…

量子物理 · 物理学 2026-01-19 Florian Meier , Yuri Minoguchi , Gianmichele Blasi , Géraldine Haack , Marcus Huber
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