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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

This paper presents an indirect data-driven output feedback controller synthesis for nonlinear systems, leveraging Structured State-space Models (SSMs) as surrogate models. SSMs have emerged as a compelling alternative in modelling…

系统与控制 · 电气工程与系统科学 2026-04-09 Muhammad Zakwan , Vaibhav Gupta , Alireza Karimi , Efe C. Balta , Giancarlo Ferrari-Trecate

In this work, we study controllability in the set of all density matrices for a two-level open quantum system driven by coherent and incoherent controls. In [A. Pechen, Phys. Rev. A 84, 042106 (2011)] an approximate controllability, i.e.,…

量子物理 · 物理学 2025-02-21 Lev Lokutsievskiy , Alexander Pechen

Recent progress in quantum physics has made it possible to perform experiments in which individual quantum systems are monitored and manipulated in real time. The advent of such new technical capabilities provides strong motivation for the…

量子物理 · 物理学 2016-11-18 Andrew Doherty , John Doyle , Hideo Mabuchi , Kurt Jacobs , Salman Habib

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

系统与控制 · 电气工程与系统科学 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Quantum feedback control is a technology which can be used to drive a quantum system into a predetermined eigenstate. In this article, sufficient conditions for the experiment parameters of a quantum feedback control process of a homodyne…

量子物理 · 物理学 2007-05-23 Andreas de Vries

An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system…

最优化与控制 · 数学 2014-02-19 Amol Sasane

The paper considers pseudo-differential boundary value control systems. The underlying operators form an algebra D with the help of which we are able to formulate typical boundary value control problems. The symbolic calculus gives tools to…

偏微分方程分析 · 数学 2007-05-23 Jouko Tervo , Markku Nihtilä , Petri Kokkonen

The coherent control of small quantum system is considered. For a two-level system coupled to an arbitrary bath we consider a pulse of finite duration. We derive the leading and the next-leading order corrections to the evolution operator…

量子物理 · 物理学 2008-03-11 S. Pasini , T. Fischer , P. Karbach , G. S. Uhrig

We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear system is smoothly small-time locally controllable, i.e.,…

最优化与控制 · 数学 2017-05-24 Karine Beauchard , Frédéric Marbach

Controllability of chemical reactions is an important problem in chemical engineering science. In control theory, analysis of the controllability of linear systems is well-founded, however the dynamics of chemical reactions is usually…

最优化与控制 · 数学 2015-08-14 Dániel András Drexler , János Tóth

The origin of non-classical correlations is difficult to identify since the uncertainty principle requires that information obtained about one observable invariably results in the disturbance of any other non-commuting observable. Here,…

量子物理 · 物理学 2014-07-01 Holger F. Hofmann

In the interaction between control and mathematics, mathematical tools are fundamental for all the control methods, but it is unclear how control impacts mathematics. This is the first part of our paper that attempts to give an answer with…

系统与控制 · 电气工程与系统科学 2021-10-05 Deyuan Meng , Yuxin Wu

It is well known that a system with two or more levels exists a limit cycle and can be synchronized with an external drive when the system and the drive are directly coupled. One might wonder if a system can synchronize with the external…

量子物理 · 物理学 2021-12-14 Guo Meitong , Niu Xiangyu , Yi Xuexi , Wang Wei

Robust quantum control can achieve noise-resilience of quantum systems and quantum technological devices. While the need for noise-resilience grows with the number of fluctuating quantities, and thus typically with the number of qubits,…

We find the conditions for one quantum system to function as a classical controller of another quantum system: the controller must be an open system and rapidly diagonalised in the basis of the controller variable that is coupled to the…

量子物理 · 物理学 2015-06-03 G J Milburn

In the interaction picture, a sufficient and necessary condition that guarantees the convergence of closed quantum control system is proposed in this paper. Theoretical derivation and the proof show that it is possible to achieve the…

数学物理 · 物理学 2014-08-19 Shuang Cong , Yuesheng Lou , Jianxiu Liu , Sen Kuang

Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies controllability by taking in consideration the eigenvalues of an associated derivation D. When the state…

最优化与控制 · 数学 2016-01-05 Adriano Da Silva

A general scheme is presented for controlling quantum systems using evolution driven by non-selective von Neumann measurements, with or without an additional tailored electromagnetic field. As an example, a 2-level quantum system controlled…

量子物理 · 物理学 2007-05-23 Alexander Pechen , Nikolai Il'in , Feng Shuang , Herschel Rabitz

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

系统与控制 · 计算机科学 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen