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In this paper, we analyze classical and quantum physical systems from an optimal control perspective. Specifically, we explore whether their associated dynamics can correspond to an open or closed-loop feedback evolution of a control…

最优化与控制 · 数学 2020-06-12 Mauricio Contreras G. , Marcelo Villena

The advent of quantum devices, which exploit the two essential elements of quantum physics, coherence and entanglement, has sparked renewed interest in the control of open quantum systems. Successful implementations face the challenge to…

量子物理 · 物理学 2016-05-05 Christiane P. Koch

Many proposals have been put forth for controlling quantum phenomena, including open-loop, adaptive feedback, and real-time feedback control. Each of these approaches has been viewed as operationally, and even physically, distinct from the…

量子物理 · 物理学 2010-09-14 Alexander Pechen , Constantin Brif , Rebing Wu , Raj Chakrabarti , Herschel Rabitz

In this paper we study and solve an optimal control problem motivated by applications in quantum and classical physics. Although apparently simple, this optimal control problem is not easy to solve and we resort to various elaborated…

最优化与控制 · 数学 2025-07-18 Arnaud Lazarus , Emmanuel Trélat

This thesis addresses the problem of developing a quantum counter-part of the well established classical theory of control. We dwell on the fundamental fact that quantum states are generally not perfectly distinguishable, and quantum…

量子物理 · 物理学 2009-08-21 Paulo E. M. F. Mendonca

Hybrid quantum-classical algorithms hold great promise for solving quantum control problems on near-term quantum computers. In this work, we employ the hybrid framework that integrates digital quantum simulation with classical optimization…

量子物理 · 物理学 2025-07-01 Tangyou Huang , Jing-Jun Zhu , Zhong-Yi Ni

The control of ensembles of dynamical systems is an intriguing and challenging problem, arising for example in quantum control. We initiate the investigation of optimal control of ensembles of discrete-time systems, focusing on minimising…

最优化与控制 · 数学 2025-11-07 Christian Fiedler , Alessandro Scagliotti

We describe a broad dynamical-algebraic framework for analyzing the quantum control properties of a set of naturally available interactions. General conditions under which universal control is achieved over a set of subspaces/subsystems are…

量子物理 · 物理学 2009-11-10 P. Zanardi , S. Lloyd

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

Achieving full control of the time-evolution of a many-body quantum system is currently a major goal in physics. In this work we investigate the different ways in which the controllability of a quantum system can be influenced by its…

量子物理 · 物理学 2016-09-14 P. M. Poggi , D. A. Wisniacki

A variety of tasks in quantum control, ranging from purification and cooling, to quantum stabilization and open-system simulation, rely on the ability to implement a target quantum channel over a specified time interval within prescribed…

量子物理 · 物理学 2017-08-29 Francesco Ticozzi , Lorenza Viola

In this paper, we propose a unified stochastic optimal control framework that integrates time-optimal control problems with classical stochastic optimal control formulations. Unlike conventional deterministic time-optimal control models,…

最优化与控制 · 数学 2025-10-21 Shuzhen Yang

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

The optimal control of unitary transformations is a fundamental problem in quantum control theory and quantum information processing. The feasibility of performing such optimizations is determined by the computational and control resources…

量子物理 · 物理学 2015-05-19 Katharine W. Moore , Raj Chakrabarti , Gregory Riviello , Herschel Rabitz

Quantum control refers to our ability to manipulate quantum systems. This tutorial-style chapter focuses on the use of classical electromagnetic fields to steer the system dynamics. In this approach, the quantum nature of the control stems…

量子物理 · 物理学 2025-12-05 Christiane P. Koch

Quantum control of systems plays important roles in modern science and technology. The ultimate goal of quantum control is to achieve high fidelity universal control in the time-optimal way. Although high fidelity universal control has been…

量子物理 · 物理学 2016-11-23 Jianpei Geng , Yang Wu , Xiaoting Wang , Kebiao Xu , Fazhan Shi , Yijin Xie , Xing Rong , Jiangfeng Du

Control and learning are key to technological advancement, both in the classical and quantum domains, yet their interrelationship is insufficiently clear in the literature, especially between classical and quantum definitions of control and…

量子物理 · 物理学 2024-03-13 Seyed Shakib Vedaie , Archismita Dalal , Eduardo J. Páez , Barry C. Sanders

A common goal in the sciences is optimization of an objective function by selecting control variables such that a desired outcome is achieved. This scenario can be expressed in terms of a control landscape of an objective considered as a…

量子物理 · 物理学 2017-02-08 Benjamin Russell , Herschel Rabitz

The optimal control problem for open quantum systems can be formulated as a time-dependent Lindbladian that is parameterized by a number of time-dependent control variables. Given an observable and an initial state, the goal is to tune the…

量子物理 · 物理学 2024-05-30 Wenhao He , Tongyang Li , Xiantao Li , Zecheng Li , Chunhao Wang , Ke Wang

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…

量子物理 · 物理学 2024-10-15 Xinyu Fei , Lucas T. Brady , Jeffrey Larson , Sven Leyffer , Siqian Shen
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