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In this paper, we study the control theoretic properties of a couple of interacting spin 1's driven by an electro-magnetic field. In particular, we assume that it is possible to observe the expectation value of the total magnetization and…

Quantum Physics · Physics 2007-05-23 Domenico D'Alessandro

The steering control of an autonomous unicycle is considered. The underlying dynamical model of a single rolling wheel is discussed regarding the steady state motions and their stability. The unicycle model is introduced as the simplest…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Máté Benjámin Vizi , Gábor Orosz , Dénes Takács , Gábor Stépán

We study the controllability of a Partial Differential Equation of transport type, that arises in crowd models. We are interested in controlling it with a control being a vector field, representing a perturbation of the velocity, localized…

Optimization and Control · Mathematics 2020-04-02 Michel Duprez , Morgan Morancey , Francesco Rossi

This note proposes a general control approach, called vector-field guided constraint-following control, to solve the dynamics control problem of geometric path-following for a class of uncertain mechanical systems. More specifically, it…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Hui Yin , Xiang Li , Yifan Liu , Weijia Yao

We present a combined analytical and numerical investigation to show how an optimal control field can be designed to generate maximum field-free orientation of molecules for three populated rotational states. Based on a model involving pure…

Quantum Physics · Physics 2021-07-28 Qian-Qian Hong , Li-Bao Fan , Chuan-Cun Shu , Niels E. Henriksen

In terms of the exact quantum master equation solution for open electronic systems, the coherent dynamics of two charge states described by two parallel quantum dots with one fully polarized electron on either dot is investigated in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jinshuang Jin , Wei-Min Zhang , Matisse Wei-Yuan Tu , Nien-En Wang

A quantum gate is realized by specific unitary transformations operating on states representing qubits. Considering a quantum system employed as an element in a quantum computing scheme, the task is therefore to enforce the pre-specified…

Quantum Physics · Physics 2007-05-23 Jose P. Palao , Ronnie Kosloff

Errors in the control of quantum systems may be classified as unitary, decoherent and incoherent. Unitary errors are systematic, and result in a density matrix that differs from the desired one by a unitary operation. Decoherent errors…

Robust open-loop steering of a finite-dimensional quantum system is a central problem in a growing number of applications of information engineering. In the present paper, we reformulate the problem in the classical control-theoretic…

Quantum Physics · Physics 2007-05-23 Francesco Ticozzi , Augusto Ferrante , Michele Pavon

Genetic algorithms, as implemented in optimal control strategies, are currently successfully exploited in a wide range of problems in molecular physics. In this context, laser control of molecular alignment and orientation remains a very…

Chemical Physics · Physics 2007-05-23 O. Atabek , C. M. Dion

The quantum harmonic oscillator is one of the most fundamental objects in physics. We consider the case where it is extended to an arbitrary number modes and includes all possible terms that are bilinear in the annihilation and creation…

Quantum Physics · Physics 2024-01-26 Mattias T. Johnsson , Daniel Burgarth

Significant molecular orientation can be achieved by time-symmetric single-cycle pulses of zero area, in the THz region. We show that in spite of the existence of a combined time-space symmetry operation, not only large peak instantaneous…

Chemical Physics · Physics 2012-10-22 Juan Ortigoso

In order to increase the number of situations in which an intelligent vehicle can operate without human intervention, lateral control is required to accurately guide it in a reference trajectory regardless of the shape of the road or the…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Marcos Moreno-Gonzalez , Antonio Artuñedo , Jorge Villagra , Cédric Join , Michel Fliess

This communication presents a longitudinal model-free control approach for computing the wheel torque command to be applied on a vehicle. This setting enables us to overcome the problem of unknown vehicle parameters for generating a…

Systems and Control · Computer Science 2017-04-06 Philip Polack , Brigitte d'Andréa-Novel , Michel Fliess , Arnaud de la Fortelle , Lghani Menhour

Control of quantum systems via time-varying external fields optimized to maximize a fidelity measure at a given time is a mainstay in modern quantum control. However, save for specific systems, current analysis techniques for such quantum…

Quantum Physics · Physics 2024-01-10 Sean Patrick O'Neil , Edmond Jonckheere , Sophie Schirmer

We tailor the quantum statistics of a bosonic field to deterministically drive a quantum system into a target state. Experimentally accessible states of the field achieve good control of multi-level or -qubit systems, notably also at…

Quantum Physics · Physics 2023-04-12 Frieder Lindel , Edoardo G. Carnio , Stefan Yoshi Buhmann , Andreas Buchleitner

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific…

High Energy Physics - Theory · Physics 2014-01-29 Gianluca Calcagni , Giuseppe Nardelli

This paper presents an experimental study of a path-tracking framework for autonomous vehicles in which the lateral control command is applied to a dynamic control point along the wheelbase. Instead of enforcing a fixed reference at either…

Robotics · Computer Science 2026-02-03 Alexandre Lombard , Florent Perronnet , Nicolas Gaud , Abdeljalil Abbas-Turki

We present a set of concrete and realistic ideas for the implementation of a small-scale quantum computer using electron spins in lateral GaAs/AlGaAs quantum dots. Initialization is based on leads in the quantum Hall regime with tunable…

Quantum optimal control involves setting up an objective function that evaluates the quality of an operator representing the realized process w.r.t. the target process. Here we propose a stronger objective function which incorporates not…

Quantum Physics · Physics 2020-03-18 Priya Batra , V. R. Krithika , T. S. Mahesh