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We study the optimal control of discrete time mean filed dynamical systems under partial observations. We express the global law of the filtered process as a controlled system with its own dynamics. Following a dynamic programming approach,…

最优化与控制 · 数学 2023-03-13 Jeremy Chichportich , Idris Kharroubi

Experimentally observed quantum few-body dynamics of neutral atoms excited to a Rydberg state are numerically analyzed with Lindblad master equation formalism. For this, up to five rubidium atoms are trapped with optical tweezers, arranged…

原子物理 · 物理学 2019-04-17 Woojun Lee , Minhyuk Kim , Hanlae Jo , Yunheung Song , Jaewook Ahn

Optimal control theory provides recipes to achieve quantum operations with high fidelity and speed, as required in quantum technologies such as quantum sensing and computation. While technical advances have achieved the ultrastrong driving…

量子物理 · 物理学 2015-11-25 M. Hirose , P. Cappellaro

The optimization of the conversion of thermal energy into work and the minimization of dissipation for nano- and mesoscopic systems is a complex challenge because of the important role fluctuations play on the dynamics of small systems. We…

量子物理 · 物理学 2025-09-24 Alberto Rolandi

Achieving fast, excitation-free quantum control is a vital challenge in modern quantum technologies. In many cases, shortcuts to adiabaticity enable fast adiabatic-like protocols, yet determining control parameters that satisfy practical…

量子物理 · 物理学 2026-04-03 Bo Xing , Jesús G. Parejo , Sofía Martínez-Garaot , Paola Cappellaro , Mikel Palmero

Control strategies for dissipative preparation of target quantum states, both pure and mixed, and subspaces are obtained by switching between a set of available semigroup generators. We show that the class of problems of interest can be…

量子物理 · 物理学 2015-06-17 Pierre Scaramuzza , Francesco Ticozzi

In this article, we investigate a time-optimal state-constrained bilevel optimal control problem whose lower-level dynamics feature a sweeping control process involving a {\it truncated normal cone}. By bilevel, it is meant that the…

最优化与控制 · 数学 2022-01-07 Nathalie T. Khalil , Fernando Lobo Pereira

We consider the optimal control of quantum systems interacting non-linearly with an electromagnetic field. We propose new monotonically convergent algorithms to solve the optimal equations. The monotonic behavior of the algorithm is ensured…

量子物理 · 物理学 2015-05-13 M. Lapert , R. Tehini , G. Turinici , D. Sugny

We present a novel reformulation of nonsmooth differential equations with state jumps which enables their easier simulation and use in optimal control problems without the need of using integer variables. The main idea is to introduce an…

最优化与控制 · 数学 2020-06-11 Armin Nurkanović , Tommaso Sartor , Sebastian Albrecht , Moritz Diehl

The quantum speed limit sets the minimum time required to transfer a quantum system completely into a given target state. At shorter times the higher operation speed has to be paid with a loss of fidelity. Here we quantify the trade-off…

量子物理 · 物理学 2015-12-08 Miroslav Gajdacz , Kunal K. Das , Jan Arlt , Jacob F. Sherson , Tomáš Opatrný

We propose a general scheme for dissipatively preparing arbitrary pure quantum states on a multipartite qubit register in a finite number of basic control blocks. Our "splitting-subspace" approach relies on control resources that are…

量子物理 · 物理学 2013-11-19 Giacomo Baggio , Francesco Ticozzi , Lorenza Viola

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

最优化与控制 · 数学 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develop…

最优化与控制 · 数学 2023-10-18 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen

We consider optimal control problems for systems governed by mean-field stochastic differential equations, where the control enters both the drift and the diffusion coefficient. We study the relaxed model, in which admissible controls are…

最优化与控制 · 数学 2017-02-02 Khaled Bahlali , Meriem Mezerdi , Brahim Mezerdi

We propose an optimal control strategy to generate maximally entangled states in bipartite quantum systems. Leveraging the Pontryagin Principle, we derive time-dependent control fields that maximize the entanglement measure, specifically…

量子物理 · 物理学 2025-02-24 Nahid Binandeh Dehaghani , A. Pedro Aguiar , Rafal Wisniewski

Different ways of modelling quantum control systems, formulating control problems and solving the resulting problems are considered and compared. In particular, we compare the performance of geometric and optimal control, as well as…

量子物理 · 物理学 2008-01-08 Sonia G Schirmer , Peter J Pemberton-Ross , Xiaoting Wang

We propose a general control framework for two-phase flows with variable densities in the diffuse interface formulation, where the distribution of the fluid components is described by a phase field. The flow is governed by the diffuse…

最优化与控制 · 数学 2016-12-08 Harald Garcke , Michael Hinze , Christian Kahle

The simulation of quantum dynamics on a digital quantum computer with parameterized circuits has widespread applications in fundamental and applied physics and chemistry. In this context, using the hybrid quantum-classical algorithm,…

量子物理 · 物理学 2023-07-19 Tangyou Huang , Yongcheng Ding , Léonce Dupays , Yue Ban , Man-Hong Yung , Adolfo del Campo , Xi Chen

We study the quantum-jump-based feedback control on the entanglement shared between two qubits with one of them subject to decoherence, while the other qubit is under the control. This situation is very relevant to a quantum system…

量子物理 · 物理学 2015-05-19 S. C. Hou , X. L. Huang , X. X. Yi

Quantum measurements are considered for optimal control of quantum dynamics with instantaneous and continuous observations utilized to manipulate population transfer. With an optimal set of measurements, the highest yield in a two-level…

量子物理 · 物理学 2009-02-17 Feng Shuang , Mianlai Zhou , Alexander Pechen , Rebing Wu , Ofer M. Shir , Herschel Rabitz