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In several applications of online optimization to networked systems such as power grids and robotic networks, information about the system model and its disturbances is not generally available. Within the optimization community, increasing…

Optimization and Control · Mathematics 2025-09-01 Caio Kalil Lauand , Andrey Bernstein

Quantum control theory is profitably reexamined from the perspective of quantum information, two results on the role of quantum information technology in quantum feedback control are presented and two quantum feedback control schemes,…

Quantum Physics · Physics 2009-11-11 Dao-Yi Dong , Chen-Bin Zhang , Zong-Hai Chen

We introduce a novel quadratic unconstrained binary optimization (QUBO) formulation for a classical problem in electrical engineering -- the optimal reconfiguration of distribution grids. For a given graph representing the grid…

Quantum Physics · Physics 2023-01-31 Filipe F. C. Silva , Pedro M. S. Carvalho , Luis A. F. M. Ferreira , Yasser Omar

Feedback control problems involving autonomous quadratic systems are prevalent, yet there are only a limited number of software tools available for approximating their solution due to the complexity of the problem. This paper represents a…

Optimization and Control · Mathematics 2019-10-09 Jeff Borggaard , Lizette Zietsman

We propose a distributed feedback control that steers a dynamical network to a prescribed equilibrium corresponding to the so-called Cournot-Nash equilibrium. The network dynamics considered here are a class of passive nonlinear…

Optimization and Control · Mathematics 2020-01-28 Claudio De Persis , Nima Monshizadeh

Quantum input-output response analysis is a useful method for modeling the dynamics of complex quantum networks, such as those for communication or quantum control via cascade connections. Non-Markovian effects have not yet been studied in…

Quantum Physics · Physics 2013-04-10 Jing Zhang , Yu-xi Liu , Re-Bing Wu , Kurt Jacobs , Franco Nori

The topic area of this paper parameterized quantum circuits (quantum neural networks) which are trained to estimate a given function, specifically the type of circuits proposed by Mitarai et al. (Phys. Rev. A, 2018). The input is encoded…

Quantum Physics · Physics 2020-06-25 Javier Gil Vidal , Dirk Oliver Theis

The feedback-based algorithm for quantum optimization (FALQON) has recently been proposed to solve quadratic unconstrained binary optimization problems. This paper efficiently generalizes FALQON to tackle quadratic constrained binary…

Quantum Physics · Physics 2025-04-15 Salahuddin Abdul Rahman , Özkan Karabacak , Rafal Wisniewski

Quantum optimization, both for classical and quantum functions, is one of the most well-studied applications of quantum computing, but recent trends have relied on hybrid methods that push much of the fine-tuning off onto costly classical…

Quantum Physics · Physics 2024-09-25 Lucas T. Brady , Stuart Hadfield

In this article, we derive a Stratonovich and Skorohod type change of variables formula for a multidimensional Gaussian process with low H\"older regularity (typically lower than 1/4). To this aim, we combine tools from rough paths theory…

Probability · Mathematics 2013-08-05 Samy Tindel , Maria Jolis , Yaozhong Hu

We present a method for learning unknown parametric constraints from locally-optimal input-output trajectory data. We assume the data is generated by rollouts of stochastic nonlinear dynamics, under a single state or output feedback law and…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Chih-Yuan Chiu , Zhouyu Zhang , Glen Chou

Complementarity relations between various characterizations of a probability distribution are at the core of information theory. In particular, lower and upper bounds for the entropic function are of great importance. In applied topics, we…

Quantum Physics · Physics 2022-09-07 Alexey E. Rastegin

This paper studies exact linearization methods for stochastic SISO affine controlled dynamical systems. The systems are defined as vectorfield triplets in Euclidean space. The goal is to find, for a given nonlinear stochastic system, a…

Optimization and Control · Mathematics 2007-05-23 Ladislav Sladecek

Recent theoretical and experimental investigations of coherent feedback control, the feedback control of a quantum system with another quantum system, has raised the important problem of how to synthesize a class of quantum systems, called…

Quantum Physics · Physics 2010-08-02 H. I. Nurdin

In this paper, we study the irregular output feedback linear quadratic (LQ) control problem, which is a continuous work of previous works for irregular LQ control [33] where the state is assumed to be exactly known priori. Different from…

Optimization and Control · Mathematics 2019-05-17 Juanjuan Xu , Huanshui Zhang

In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J. Krener, Extended…

Optimization and Control · Mathematics 2007-05-23 Wen-Long Jin

In this work, we study the realisation of unitarity-based cutting rules for primordial cosmological correlators computed within the Schwinger-Keldysh path integral formalism. While cutting rules have been previously derived for wavefunction…

High Energy Physics - Theory · Physics 2026-01-27 Francisco Colipí-Marchant , Gabriel Marin , Gonzalo A. Palma , Francisco Rojas

For quantum systems with linear dynamics in phase space much of classical feedback control theory applies. However, there are some questions that are sensible only for the quantum case, such as: given a fixed interaction between the system…

Quantum Physics · Physics 2009-11-10 H. M . Wiseman , A. C. Doherty

The ground state properties of quantum many-body systems are a subject of interest across chemistry, materials science, and physics. Thus, algorithms for finding ground states can have broad impacts. Variational quantum algorithms are one…

Quantum Physics · Physics 2023-09-28 James B. Larsen , Matthew D. Grace , Andrew D. Baczewski , Alicia B. Magann

This paper introduces computationally efficient methods for synthesizing explicit piecewise affine (PWA) feedback laws for nonlinear discrete-time systems, ensuring robustness and performance guarantees. The approach proceeds by optimizing…

Optimization and Control · Mathematics 2026-05-14 Mario Eduardo Villanueva , Juraj Oravec , Radoslav Paulen , Boris Houska
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