Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states

DOI10.1142/S0219025719500206zbMath1436.81080arXiv1809.06842OpenAlexW2995079816WikidataQ114072700 ScholiaQ114072700MaRDI QIDQ4960408

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

Publication date: 15 April 2020

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

Full work available at URL: https://arxiv.org/abs/1809.06842

zbMATH Keywords

Gaussian quantum statecomplex symplectic factorizationparameter randomizationquadratic-exponential functional

Mathematics Subject Classification ID

Gaussian processes (60G15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum stochastic calculus (81S25) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum coherence, entanglement, quantum correlations (81P40) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum control (81Q93)

Related Items (4)

Quadratic-exponential functionals of Gaussian quantum processes ⋮ State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems ⋮ Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States ⋮ Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems

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