This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated.
Linear Systems Analysis Ebook Download
Description:This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models.
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The existence and regularity for the solution ofone linear system (auxiliary linear system), having a structuresimilar with those that appear in the associated approximatingschemes to the nonlinear phase-field transition system,it is proved in this Annexe (Theorem A.1). Concerning themethods used in the proof, an essential difference with respectto Chapter 2 consists in that, presently, we make the a prioriestimates in L2(Q) in place of Lp(Q). Estimation techniquethat is used is also different from those used for the rest of thebook......
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