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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…

Quantum Physics · Physics 2010-07-20 Constantin Brif , Raj Chakrabarti , Herschel Rabitz

The Josephson junction is typically tuned by a magnetic field or electrostatic gates to realize a superconducting transistor, which manipulates the supercurrent in integrated superconducting circuits. However, this tunable method does not…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Guo-Jian Qiao , Zhi-Lei Zhang , Sheng-Wen Li , C. P. Sun

Controlling large particle systems in collective dynamics by a few agents is a subject of high practical importance, e.g., in evacuation dynamics. In this paper we study an instantaneous control approach to steer an interacting particle…

Optimization and Control · Mathematics 2020-01-29 Martin Burger , Rene Pinnau , Claudia Totzeck , Oliver Tse , Andreas Roth

This paper considers the problem of designing time-dependent, real-time control policies for controllable nonlinear diffusion processes, with the goal of obtaining maximally-informative observations about parameters of interest. More…

Methodology · Statistics 2014-10-16 Giles Hooker , Kevin K. Lin , Bruce Rogers

This thesis addresses the problem of developing a quantum counter-part of the well established classical theory of control. We dwell on the fundamental fact that quantum states are generally not perfectly distinguishable, and quantum…

Quantum Physics · Physics 2009-08-21 Paulo E. M. F. Mendonca

We theoretically and experimentally study finite-time optimal control of a colloidal particle steered through a spatially inhomogeneous environment, modeled by a position-dependent energetic cost at the final state. The competition between…

Statistical Mechanics · Physics 2026-04-29 Jan Meibohm , Samuel Monter , Sarah A. M. Loos , Clemens Bechinger

The Quantum Speed Limit can be found in many different situations, in particular in the propagation of information through quantum spin chains. In homogeneous chains it implies that taking information from one extreme of the chain to the…

Quantum Physics · Physics 2020-12-30 Diego S. Acosta Coden , Sergio S. Gómez , Alejandro Ferrón , Omar Osenda

This paper first presents necessary and sufficient conditions for the solvability of discrete time, mean-field, stochastic linear-quadratic optimal control problems. Then, by introducing several sequences of bounded linear operators, the…

Optimization and Control · Mathematics 2016-07-25 Robert. J Elliott , Xun Li , Yuan-Hua Ni

A theory is offered for a novel device, mesoscopic four-terminal SQUID. The studied system consists of a mesoscopic four-terminal junction, one pair of terminals of which is incorporated in a superconducting ring and the other one is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 M. H. S. Amin , A. N. Omelyanchouk , A. M. Zagoskin

Reducing decoherence is an essential step toward realizing general-purpose quantum computers beyond the present noisy intermediate-scale quantum (NISQ) computers. To this end, dynamical decoupling (DD) approaches in which external fields…

Quantum Physics · Physics 2022-09-23 Yukiyoshi Ohtsuki , Suicho Mikami , Toru Ajiki , David J. Tannor

We have fabricated and studied a new kind of DC SQUID in which the magnitude and sign of the critical current of the individual Josephson junctions can be controlled by additional voltage probes connected to the junctions. We show that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. J. A. Baselmans , B. J. van Wees , T. M. Klapwijk

We propose an analysis of the time-optimal control of SU(2) quantum operations. By using the Pontryagin Maximum Principle, we show how to determine the optimal trajectory reaching a given target state. Explicit analytical solutions are…

Quantum Physics · Physics 2015-06-17 A. Garon , S. J. Glaser , D. Sugny

The quantum navigation problem of finding the time-optimal control Hamiltonian that transports a given initial state to a target state through quantum wind, that is, under the influence of external fields or potentials, is analysed. By…

Quantum Physics · Physics 2015-05-27 Dorje C. Brody , Gary W. Gibbons , David M. Meier

We obtain a probabilistic solution to linear-quadratic optimal control problems with state constraints. Given a closed set $\mathcal{D}\subseteq [0,T]\times\mathbb{R}^d$, a diffusion $X$ in $\mathbb{R}^d$ must be linearly controlled in…

Optimization and Control · Mathematics 2026-03-06 Tiziano De Angelis , Erik Ekström

In this paper, we consider stochastic optimal control of systems driven by stochastic differential equations with irregular drift coefficient. We establish a necessary and sufficient stochastic maximum principle. To achieve this, we first…

Optimization and Control · Mathematics 2021-01-18 Olivier Menoukeu-Pamen , Ludovic Tangpi

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

In networked control systems (NCS), sensing and control signals between the plant and controllers are typically transmitted wirelessly. Thus, the time delay plays an important role for the stability of NCS, especially with distributed…

Systems and Control · Computer Science 2013-12-13 Zhuwei Wang , Xiaodong Wang

In superconducting quantum interference devices (SQUIDs), the superconducting diode effect may be generated by interference of multiple harmonic components in the current-phase relationships (CPRs) of different branches forming SQUID loops.…

Superconductivity · Physics 2026-04-16 Wyatt Gibbons , Teng Zhang , Kevin Barrow , Tyler Lindemann , Jukka I. Väyrynen , Michael J. Manfra

Unitary control and decoherence appear to be irreconcilable in quantum mechanics. When a quantum system interacts with an environment, control strategies usually fail due to decoherence. In this letter, we propose a time-optimal unitary…

Quantum Physics · Physics 2013-02-20 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

We consider a mean-field control problem in which admissible controls are required to be adapted to the common noise filtration. The main objective is to show how the mean-field control problem can be approximates by time consistent…

Optimization and Control · Mathematics 2025-09-19 Bruno Bouchard , Xiaolu Tan
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