Quadratic-exponential functionals of Gaussian quantum processes

DOI10.1142/S0219025721500247zbMath1486.81143arXiv2103.09279OpenAlexW3137724034WikidataQ115523125 ScholiaQ115523125MaRDI QIDQ5037867

Ian R. Petersen, Igor G. Vladimirov, Matthew R. James

Publication date: 4 March 2022

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09279

zbMATH Keywords

quantum relative entropyopen quantum harmonic oscillatorquantum processGaussian quantum statequadratic-exponential functionalmoment generating functionalrandomised representationstationary Gaussian quantum process

Mathematics Subject Classification ID

Gaussian processes (60G15) Sensitivity (robustness) (93B35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Measures of information, entropy (94A17) Operator algebra methods applied to problems in quantum theory (81R15) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum control (81Q93) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (3)

Moment Dynamics and Observer Design for a Class of Quasilinear Quantum Stochastic Systems ⋮ State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems ⋮ Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems

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