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We propose a reformulation of the problem of optimally controlled transitions in stochastic thermodynamics. We impose that any terminal cost specified by a thermodynamic functional should depend only on state variables and not on control…

Statistical Mechanics · Physics 2025-10-03 Julia Sanders , Paolo Muratore-Ginanneschi

Quantum optimal control is central to designing spin manipulation pulses. Gradient-based pulse optimization can be facilitated by either accelerating gradient evaluation or enhancing the convergence rate. In this work, we accelerated…

Chemical Physics · Physics 2026-02-12 Mengjia He , Yongbo Deng , Burkhard Luy , Jan G. Korvink

We investigate several control strategies for the transport of an excitation along a spin chain. We demonstrate that fast, high fidelity transport can be achieved using protocols designed with differentiable programming. Building on this,…

Quantum Physics · Physics 2022-11-30 Luuk Coopmans , Steve Campbell , Gabriele De Chiara , Anthony Kiely

In quantum information processing, the development of fast and robust control schemes remains a central challenge. Although quantum adiabatic evolution is inherently robust against control errors, it typically demands long evolution times.…

Quantum Physics · Physics 2026-01-16 Tonghao Xing , Jiang Zhang , Guilu Long

Quantum adiabatic processes -that keep constant the populations in the instantaneous eigenbasis of a time-dependent Hamiltonian- are very useful to prepare and manipulate states, but take typically a long time. This is often problematic…

For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between two given equilibrium states. For overdamped dynamics which ignores inertia effects,…

Statistical Mechanics · Physics 2008-07-23 Alex Gomez-Marin , Tim Schmiedl , Udo Seifert

We use quantum optimal control theory algorithms to design external electric fields that drive the coupled spin and orbital dynamics of an electron in a double quantum dot, subject to the spin-orbit interaction and Zeeman magnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 J. A. Budagosky , D. V. Khomitsky , E. Ya. Sherman , Alberto Castro

Adiabatic quantum control is a very important approach for quantum physics and quantum information processing. It holds the advantage with robustness to experimental imperfections but accumulates more decoherence due to the long evolution…

Quantum Physics · Physics 2019-04-22 Hao Zhang , Xue-Ke Song , Qing Ai , Haibo Wang , Guo-Jian Yang , Fu-Guo Deng

Quantum optimal control plays a vital role in many quantum technologies, including quantum computation. One of the most important control parameters to optimise for is the evolution time (pulse duration). However, most existing works focus…

Quantum Physics · Physics 2025-04-02 Minjun Jeon , Zhenyu Cai

This paper proposes a new indirect solution method for solving state-constrained optimal control problems by revisiting the well-established optimal control theory and addressing the long-standing issue of discontinuous control and costate…

Optimization and Control · Mathematics 2024-03-08 Kenshiro Oguri

A formalism based on Pontryagin's maximum principle is applied to determine the time-optimal protocol that drives a general initial state to a target state by a Hamiltonian with limited control, i.e., there is a single control field with…

Quantum Physics · Physics 2020-02-19 Chungwei Lin , Dries Sels , Yebin Wang

Chainwise stimulated Raman adiabatic passage (C-STIRAP) in M-type molecular system is a good alternative in creating ultracold deeply-bound molecules when the typical STIRAP in {\Lambda}-type system does not work due to weak Frank-Condon…

Quantum Physics · Physics 2024-08-06 Jiahui Zhang , Li Deng , Yueping Niu , Shangqing Gong

In this paper, we study an optimal control problem of a mean-field forward-backward stochastic system with random jumps in progressive structure, where both regular and singular controls are considered in our formula. In virtue of the…

Optimization and Control · Mathematics 2023-05-30 Tian Chen , Kai Du , Zongyuan Huang , Zhen Wu

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilibrium. The obtained control is asymptotically optimal: the…

Optimization and Control · Mathematics 2016-12-02 Alexander Ovseevich , Aleksey Fedorov

Dynamical systems with a distributed yet interconnected structure, like multi-rigid-body robots or large-scale multi-agent systems, introduce valuable sparsity into the system dynamics that can be exploited in an optimal control setting for…

Robotics · Computer Science 2021-04-08 Roshan Pradhan , Shuo Yang , Frank Dellaert , Howie Choset , Matthew Travers

Quantum optimal control is a technique for controlling the evolution of a quantum system and has been applied to a wide range of problems in quantum physics. We study a binary quantum control optimization problem, where control decisions…

Quantum Physics · Physics 2024-10-15 Xinyu Fei , Lucas T. Brady , Jeffrey Larson , Sven Leyffer , Siqian Shen

We propose a new protocol for thr manipulation of a three-level artificial atom in Lambda ($\Lambda$) configuration in the absence of a direct pump coupling. It allows faithful, selective and robust population transfer analogous to…

Quantum Physics · Physics 2016-06-01 P. G. Di Stefano , E. Paladino , T. J. Pope , G. Falci

In this paper we solve two equivalent time optimal control problems. On one hand, we design the control field to implement in minimum time the SWAP (or equivalent) operator on a two-level system, assuming that it interacts with an…

Quantum Physics · Physics 2016-08-03 Raffaele Romano , Domenico D'Alessandro

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

Optimization and Control · Mathematics 2017-10-03 Kristoffer Bergman , Daniel Axehill

Optimal pulse patterns (OPPs) are a modulation method in which the switching angles and levels of a switching signal are computed via an offline optimization procedure to minimize a performance metric, typically the harmonic distortions of…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Jared Miller , Petros Karamanakos
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