From particle counting to Gaussian tomography

DOI10.1142/S021902571550023XzbMath1364.81076arXiv1504.07054OpenAlexW3101946374MaRDI QIDQ2790328

K. R. Parthasarathy, Ritabrata Sengupta

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1504.07054

zbMATH Keywords

symplectic groupGaussian channeltomographyWeyl operatorsGaussian statemomentum and position observables

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Channel models (including quantum) in information and communication theory (94A40) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)

Related Items (11)

Quadratic-exponential functionals of Gaussian quantum processes ⋮ Exchangeable, stationary, and entangled chains of Gaussian states ⋮ Computation of sandwiched relative α-entropy of two n-mode Gaussian states ⋮ On the equivalence of separability and extendability of quantum states ⋮ State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems ⋮ Metric duality between positive definite kernels and boundary processes ⋮ Multi-point Gaussian states, quadratic-exponential cost functionals, and large deviations estimates for linear quantum stochastic systems ⋮ Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states ⋮ A common parametrization for finite mode Gaussian states, their symmetries, and associated contractions with some applications ⋮ A pedagogical note on the computation of relative entropy of two \(n\)-mode Gaussian states ⋮ Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems

Cites Work

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• Symplectic dilations, Gaussian states and Gaussian channels
• Quantum stochastic calculus and quantum Gaussian processes
• Quantum state estimation.
• The semigroup structure of Gaussian channels

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