On a Characterization of Gaussian Transition Operators

DOI10.1137/S0040585X97T988435zbMath1378.81017OpenAlexW2779238532MaRDI QIDQ4602304

Alexandr S. Holevo

Publication date: 9 January 2018

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t988435

zbMATH Keywords

Gaussian measureGaussian kernelMarkov operator (transition operator)

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Related Items (2)

On Characterization of Quantum Gaussian Measurement Channels ⋮ On Gaussian transition operators

Cites Work

• Gaussian kernels have only Gaussian maximizers
• The Symmetry Group of Gaussian States in $${L}^{2}({\mathbb{R}}^{n})$$
• Normal form decomposition for Gaussian-to-Gaussian superoperators

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