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We present a new analysis on the quantum control for a quantum system coupled to a quantum probe. This analysis is based on the coherent control for the quantum system and a hyperthesis that the probe can be prepared in specified initial…

Quantum Physics · Physics 2009-11-01 J. Nie , H. C. Fu , X. X. Yi

Distance to Uncontrollability is a crucial concept in classical control theory. Here, we introduce Quantum Distance to Uncontrollability as a measure how close a universal quantum system is to a non-universal one. This allows us to provide…

Quantum Physics · Physics 2022-04-06 Daniel Burgarth , Jeff Borggaard , Zoltán Zimborás

Controlling complex reaction networks is a fundamental challenge in the fields of physics, biology, and systems engineering. Here, we prove a general principle for catalytic reaction systems with kinetics where the reaction order and the…

Biological Physics · Physics 2026-02-26 Yusuke Himeoka , Shuhei A. Horiguchi , Naoto Shiraishi , Fangzhou Xiao , Tetsuya J. Kobayashi

We study the problem of controlling a general complex network towards an assigned synchronous evolution, by means of a pinning control strategy. We define the pinning-controllability of the network in terms of the spectral properties of an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Francesco Sorrentino , Mario di Bernardo , Franco Garofalo , Guanrong Chen

Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such as simultaneous and ensemble controllability offer new…

Optimization and Control · Mathematics 2025-12-19 Enrique Zuazua

The last decade has witnessed substantial interest in protocols for transferring information on networks of quantum mechanical objects. A variety of control methods and network topologies have been proposed, on the basis that transfer with…

Quantum Physics · Physics 2012-08-14 Chris Godsil , Stephen Kirkland , Simone Severini , Jamie Smith

In coherent quantum feedback control schemes, a target quantum system S is put in contact with an auxiliary system A and the coherent control can directly affect only A. The system S is controlled 'indirectly' through the interaction with…

Quantum Physics · Physics 2013-09-18 Domenico D'Alessandro , Francesca Albertini , Raffaele Romano

It has recently been shown that the minimum energy solution of the control problem for a linear system produces a control trajectory that is nonlocal. An issue then arises when the dynamics represents a linearization of the underlying…

Optimization and Control · Mathematics 2018-01-03 Isaac Klickstein , Afroza Shirin , Francesco Sorrentino

We shall show that the abstract and formal rules which govern the quantum kinematic and dynamics can be derived from a law of change of the information content or the degree of uncertainty that the system has a certain configuration in a…

Quantum Physics · Physics 2014-04-07 Agung Budiyono

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

A common goal in the control of a large network is to minimize the number of driver nodes or control inputs. Yet, the physical determination of control signals and the properties of the resulting control trajectories remain widely…

Disordered Systems and Neural Networks · Physics 2013-05-28 Jie Sun , Adilson E. Motter

Quantum networking is an emerging area with the potential to transform information processing and communications. In this paper, we present a brief introduction to quantum network control, an area in quantum networking dedicated to…

Optimization and Control · Mathematics 2024-07-30 Víctor Valls , Panagiotis Promponas , Leandros Tassiulas

A proof that almost all quantum systems have trap free (that is, free from local optima) landscapes is presented for a large and physically general class of quantum system. This result offers an explanation for why gradient methods succeed…

Quantum Physics · Physics 2016-11-14 Benjamin Russell , Herschel Rabitz , Rebing Wu

In this paper, we study structural controllability of a linear time invariant (LTI) composite system consisting of several subsystems. We assume that the neighbourhood of each subsystem is unconstrained, i.e., any subsystem can interact…

Optimization and Control · Mathematics 2017-11-17 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

A quantum control landscape is defined as the observable as a function(al) of the system control variables. Such landscapes were introduced to provide a basis to understand the increasing number of successful experiments controlling quantum…

Quantum Physics · Physics 2009-05-04 Rebing Wu , Alexander Pechen , Herschel Rabitz , Michael Hsieh , Benjamin Tsou

Control of multi-level quantum systems is sensitive to implementation errors in the control field and uncertainties associated with system Hamiltonian parameters. A small variation in the control field spectrum or the system Hamiltonian can…

Quantum Physics · Physics 2015-06-23 Andy Koswara , Raj Chakrabarti

In quantum control theory, the fundamental issue of controllability covers the questions whether and under which conditions a system can be steered from one pure state into another by suitably tuned time evolution operators. Even though Lie…

Quantum Physics · Physics 2018-11-27 Margret Heinze , Michael Keyl

Temporal networks are such networks where nodes and interactions may appear and disappear at various time scales. With the evidence of ubiquity of temporal networks in our economy, nature and society, it's urgent and significant to focus on…

Social and Information Networks · Computer Science 2014-01-15 Yujian Pan , Xiang Li

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a…

Chaotic Dynamics · Physics 2023-01-25 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

Control code is a concept that is closely related to a frequently occurring practitioner's view on what is a program: code that is capable of controlling the behaviour of some machine. We present a logical approach to explain issues…

Software Engineering · Computer Science 2009-09-02 J. A. Bergstra , C. A. Middelburg