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In this paper we study the controllability problem for a symmetric-top molecule, both for its classical and quantum rotational dynamics. The molecule is controlled through three orthogonal electric fields interacting with its electric…

数学物理 · 物理学 2021-09-20 Ugo Boscain , Eugenio Pozzoli , Mario Sigalotti

The ability to manipulate quantum systems lies at the heart of the development of quantum technology. The ultimate goal of quantum control is to realize arbitrary quantum operations (AQuOs) for all possible open quantum system dynamics.…

Arrays of quantum dots (QDs) are a promising candidate system to realize scalable, coupled qubit systems and serve as a fundamental building block for quantum computers. In such semiconductor quantum systems, devices now have tens of…

量子物理 · 物理学 2023-05-26 Justyna P. Zwolak , Jacob M. Taylor

Various notions from geometric control theory are used to characterize the behavior of the Markovian master equation for N-level quantum mechanical systems driven by unitary control and to describe the structure of the sets of reachable…

量子物理 · 物理学 2009-11-07 C. Altafini

This paper proposes a new robust control method for quantum systems with uncertainties involving sliding mode control (SMC). Sliding mode control is a widely used approach in classical control theory and industrial applications. We show…

量子物理 · 物理学 2009-11-03 Daoyi Dong , Ian R. Petersen

A quantum fluid dynamic control formulation is presented for optimally manipulating atomic and molecular systems. In quantum fluid dynamic the control quantum system is expressed in terms of the probability density and the quantum current.…

化学物理 · 物理学 2009-11-06 Bijoy K. Dey , Herschel Rabitz , Attila Askar

Understanding and controlling engineered quantum systems is key to developing practical quantum technology. However, given the current technological limitations, such as fabrication imperfections and environmental noise, this is not always…

We study the controlled dynamics of the {\it ensembles of points} of a Riemannian manifold $M$. Parameterized ensemble of points of $M$ is the image of a continuous map $\gamma:\Theta \to M$, where $\Theta$ is a compact set of parameters.…

最优化与控制 · 数学 2019-07-08 Andrei Agrachev , Andrey Sarychev

Control of multi-level quantum systems is sensitive to implementation errors in the control field and uncertainties associated with system Hamiltonian parameters. A small variation in the control field spectrum or the system Hamiltonian can…

量子物理 · 物理学 2015-06-23 Andy Koswara , Raj Chakrabarti

Analog quantum simulators with global control fields have emerged as powerful platforms for exploring complex quantum phenomena. Despite these advances, a fundamental theoretical question remains unresolved: to what extent can such systems…

In this paper, motivated by the study of optimal control problems for infinite dimensional systems with endpoint state constraints, we introduce the notion of finite codimensional (exact/approximate) controllability. Some equivalent…

最优化与控制 · 数学 2018-10-03 Xu Liu , Qi Lü , Xu Zhang

In this paper we investigate the limits of control for mixed-state quantum systems. The constraint of unitary evolution for non-dissipative quantum systems imposes kinematical bounds on the optimization of arbitrary observables. We…

量子物理 · 物理学 2009-02-05 S. G. Schirmer , J. V. Leahy

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…

量子物理 · 物理学 2007-05-23 Francesco Ticozzi , Augusto Ferrante , Michele Pavon

We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space-time grid. More specifically, we show how, introducing a quantum memory for each of the spatial grid, this result can be…

量子物理 · 物理学 2020-11-13 Mathieu Roget , Basile Herzog , Giuseppe Di Molfetta

We introduce a novel algorithm for the task of coherently controlling a quantum mechanical system to implement any chosen unitary dynamics. It performs faster than existing state of the art methods by one to three orders of magnitude…

量子物理 · 物理学 2015-06-04 Pierre de Fouquieres

The ability to control quantum systems is necessary for many applications of quantum technologies ranging from gate generation in quantum computation to NMR and laser control of chemical reactions. In many practical situations, the…

量子物理 · 物理学 2024-03-21 Alexander Pechen

We provide a perspective on the burgeoning field of controlling quantum materials at will and its potential for quantum simulations in and out equilibrium. After briefly outlining a selection of key recent advances in controlling materials…

强关联电子 · 物理学 2024-03-05 Dante M. Kennes , Angel Rubio

We consider a control scheme where a quantum system S is put in contact with an auxiliary quantum system A and the control can affect A only, while S is the system of interest. The system S is then controlled indirectly through the…

量子物理 · 物理学 2012-10-19 Domenico D'Alessandro

Machine learning is a fascinating and exciting field within computer science. Recently, this excitement has been transferred to the quantum information realm. Currently, all proposals for the quantum version of machine learning utilize the…

量子物理 · 物理学 2017-02-28 Hoi-Kwan Lau , Raphael Pooser , George Siopsis , Christian Weedbrook

A generalized strategy for the design of intelligent robust control systems based on quantum / soft computing technologies is described. The reliability of hybrid intelligent controllers increase by providing the ability to self-organize of…

量子物理 · 物理学 2023-05-22 Sergey V. Ulyanov , Viktor S. Ulyanov , Takakhide Hagiwara