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In this paper, the controllability and observability of linear multi-agent systems over matrix-weighted signed networks are analyzed. Firstly, the definition of equitable partition of matrix-weighted signed multi-agent system is given, and…

Optimization and Control · Mathematics 2022-04-05 Lanhao Zhao , Zhijian Ji , Yungang Liu , Chong Lin

We consider the relation of symmetries and subspace controllability for spin networks with XXZ coupling subject to control of a single node by a local potential (Z-control). Such networks decompose into excitation subspaces. Focusing on the…

Quantum Physics · Physics 2012-11-02 Xiaoting Wang , Peter Pemberton-Ross , Sophie G Schirmer

We describe the formalism for optimally estimating and controlling both the state of a spin ensemble and a scalar magnetic field with information obtained from a continuous quantum limited measurement of the spin precession due to the…

Quantum Physics · Physics 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , H. Mabuchi

The controllability and observability of Boolean control network(BCN) are two fundamental properties. But the verification of latter is much harder than the former. This paper considers the observability of BCN via controllability. First,…

Optimization and Control · Mathematics 2018-01-03 Daizhan Cheng , Changxi Li , Fenghua He

We study the controllability of a closed control-affine quantum system driven by two or more external fields. We provide a sufficient condition for controllability in terms of existence of conical intersections between eigenvalues of the…

Mathematical Physics · Physics 2015-06-17 Ugo Boscain , Jean-Paul Gauthier , Francesco Rossi , Mario Sigalotti

A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network…

Physics and Society · Physics 2013-01-16 Márton Pósfai , Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

Output controllability and functional observability are properties that enable, respectively, the control and estimation of part of the state vector. These notions are of utmost importance in applications to high-dimensional systems, such…

Optimization and Control · Mathematics 2025-08-04 Arthur N. Montanari , Chao Duan , Adilson E. Motter

We demonstrate a new mechanical transduction platform for individual spin qubits. In our approach, single micro-magnets are trapped using a type-II superconductor in proximity of spin qubits, enabling direct magnetic coupling between the…

In spite of the recent interest and advances in linear controllability of complex networks, controlling nonlinear network dynamics remains to be an outstanding problem. We develop an experimentally feasible control framework for nonlinear…

Molecular Networks · Quantitative Biology 2015-09-24 Le-Zhi Wang , Ri-Qi Su , Zi-Gang Huang , Xiao Wang , Wenxu Wang , Celso Grebogi , Ying-Cheng Lai

Quantum control and measurement are two sides of the same coin. To affect a dynamical map, well-designed time-dependent control fields must be applied to the system of interest. To read out the quantum state, information about the system…

Quantum Physics · Physics 2015-05-14 Ivan H. Deutsch , Poul S. Jessen

We investigate the possibility of the electrical control of spin transfer in monoatomic chains incorporating spin-impurities. Our theoretical framework is the mixed quantum-classical (Ehrenfest) description of the spin dynamics, in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Anna Pertsova , Maria Stamenova , Stefano Sanvito

We discuss the possibility to generate, manipulate, and probe single spins in single-level quantum dots coupled to ferromagnetic leads. The spin-polarized currents flowing between dot and leads lead to a non-equilibrium spin accumulation,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Matthias Braun , Jürgen König , Jan Martinek

We propose a novel scheme to efficiently polarize and manipulate the electron spin in a quantum dot. This scheme is based on the spin-orbit interaction and it possesses following advantages: (1) The direction and the strength of the spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Qing-feng Sun , X. C. Xie

Interacting quantum systems are attracting increasing interest for developing precise metrology. In particular, the realisation that quantum-correlated states and the dynamics of interacting systems can lead to entirely new and unexpected…

Quantum Physics · Physics 2021-04-02 Min Jiang , Yunlan Ji , Qing Li , Ran Liu , Dieter Suter , Xinhua Peng

Focusing on the efficient probe and manipulation of single-particle spin states, we investigate the coupled spin and orbital dynamics of a spin 1/2 particle in a harmonic potential subject to ultrastrong spin-orbit interaction and external…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 C. Echeverria-Arrondo , E. Ya. Sherman

This paper explains some fundamental ideas of {\em feedback} control of quantum systems through the study of a relatively simple two-level system coupled to optical field channels. The model for this system includes both continuous and…

Quantum Physics · Physics 2014-06-23 Matthew James

Two-level quantum systems with strong spin-orbit coupling allow for all-electrical qubit control and long-distance qubit coupling via microwave and phonon cavities, making them of particular interest for scalable quantum information…

Mesoscale and Nanoscale Physics · Physics 2019-01-11 J. van der Heijden , T. Kobayashi , M. G. House , J. Salfi , S. Barraud , R. Lavieville , M. Y. Simmons , S. Rogge

Observability and controllability are essential concepts to the design of predictive observer models and feedback controllers of networked systems. For example, noncontrollable mathematical models of real systems have subspaces that…

Neurons and Cognition · Quantitative Biology 2018-04-18 Andrew J. Whalen , Sean N. Brennan , Timothy D. Sauer , Steven J. Schiff

We investigate the controllability of an infinite-dimensional quantum system: a quantum particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose edges are allowed to be manifolds of arbitrary dimension with…

Mathematical Physics · Physics 2023-07-20 Aitor Balmaseda , Davide Lonigro , Juan Manuel Pérez-Pardo

Several methods are proposed for the analysis, visualization and interpretation of high-dimensional spin system trajectories produced by quantum mechanical simulations. It is noted that expectation values of specific observables in large…

Quantum Physics · Physics 2014-07-16 Ilya Kuprov