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In conventional quantum optimal control theory, the parameters that determine an external field are optimised to maximise some predefined function of the trajectory, or of the final state, of a matter system. The situation changes in the…

光学 · 物理学 2019-10-23 Alberto Castro , Heiko Appel , Angel Rubio

We explore quantum signatures of classical chaos by studying the rate of information gain in quantum tomography. The tomographic record consists of a time series of expectation values of a Hermitian operator evolving under application of…

量子物理 · 物理学 2016-11-03 Vaibhav Madhok , Carlos A. Riofrío , Ivan H. Deutsch

Optimal control of two-qubit quantum systems attracts high interest due to applications ranging from two-qubit gate generation to optimization of receiver for transferring coherence matrices along spin chains. State preparation and…

量子物理 · 物理学 2025-02-21 Oleg Morzhin , Alexander Pechen

The Chopped RAndom Basis (CRAB) ansatz for quantum optimal control has been proven to be a versatile tool to enable quantum technology applications, quantum computing, quantum simulation, quantum sensing, and quantum communication. Its…

Numerous lines of experimental, numerical and analytical evidence indicate that it is surprisingly easy to locate optimal controls steering quantum dynamical systems to desired objectives. This has enabled the control of complex quantum…

量子物理 · 物理学 2015-05-13 Raj Chakrabarti , Herschel Rabitz

A long-standing problem in quantum optimal control is finding an optimal pulse structure that leads to an efficient exploration of the unitary space with a minimal number of optimization parameters. We solve this problem by constructing…

Mesoscopic devices, with system sizes in the range of several to several dozens wavelengths, represent paradigmatic model systems for the observation of quantum chaotic behaviour based on semiclassical concepts. Those electronic and…

量子物理 · 物理学 2026-04-15 Martina Hentschel

The ability to control quantum systems using shaped fields as well as to infer the states of such controlled systems from measurement data are key tasks in the design and operation of quantum devices. Here we associate the success of…

量子物理 · 物理学 2020-10-14 Christian Arenz , Herschel Rabitz

Starting from a coarse-grained map of a quantum many-body system, we construct the inverse map that assigns a microscopic state to a coarse-grained state based on the maximum entropy principle. Assuming unitary evolution in the microscopic…

量子物理 · 物理学 2025-09-05 Adán Castillo , Carlos Pineda , Erick Sebastían Navarrete , David Davalos

This article provides a review of recent developments in the formulation and execution of optimal control strategies for the dynamics of quantum systems. A brief introduction to the concept of optimal control, the dynamics of of open…

量子物理 · 物理学 2009-10-06 Robert Roloff , Markus Wenin , Walter Pötz

Quantum optimal control experiments and simulations have successfully manipulated the dynamics of systems ranging from atoms to biomolecules. Surprisingly, these collective works indicate that the effort (i.e., the number of algorithmic…

量子物理 · 物理学 2013-05-29 Katharine W. Moore , Herschel Rabitz

We consider the problem of computing optimal linear control policies for linear systems in finite-horizon. The states and the inputs are required to remain inside pre-specified safety sets at all times despite unknown disturbances. In this…

系统与控制 · 计算机科学 2019-12-17 Luca Furieri , Maryam Kamgarpour

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

量子物理 · 物理学 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise, we relax assumptions on the class of maps, as well as…

动力系统 · 数学 2019-02-25 Elena Braverman , Alexandra Rodkina

We review the main ideas and results in the stationary problems of quantum chaos in generic (mixed) systems, whose classical dynamics has regular (invariant tori) and chaotic regions coexisting in the phase space. First we discuss the…

混沌动力学 · 物理学 2007-05-23 Marko Robnik

We study a coarse-graining map arising from incomplete and imperfect addressing of particles in a multipartite quantum system. In its simplest form, corresponding to a two-qubit state, the resulting channel produces a convex mixture of the…

量子物理 · 物理学 2026-04-30 K. Uriostegui , C. Pineda , C. Chryssomalakos , V. Rascón Barajas , I. Vázquez Mota

A number of important modern applications in optimal control can be formulated as open loop control problems in which the underlying dynamical systems are subject to random inputs. These so-called ensemble control problems require the…

最优化与控制 · 数学 2026-05-05 Alessandro Scagliotti , Thomas M. Surowiec

Controlling Chaos could be a big factor in getting great stable amounts of energy out of small amounts of not necessarily stable resources. By definition, Chaos is getting huge changes in the system's output due to unpredictable small…

机器学习 · 计算机科学 2017-01-04 Ibrahim Ighneiwaa , Salwa Hamidatoua , Fadia Ben Ismaela

We present variational theory for optimal control over a finite time interval in quantum systems with relaxation. The corresponding Euler-Lagrange equations determining the optimal control field are derived. In our theory the optimal…

量子物理 · 物理学 2009-11-07 Ilia Grigorenko , Martin E. Garcia , K. H. Bennemann

In [1] Zhu and Rabitz presented a rapidly convergent iterative algorithm for optimal control of the expectation value of a positive definite observable in a pure-state quantum system. In this paper we generalize this algorithm to a quantum…

量子物理 · 物理学 2009-10-31 S. G. Schirmer , M. D. Girardeau , J. V. Leahy