On various functional representations of the space of Schwartz operators

DOI10.1007/S10958-020-05136-XzbMath1453.81005OpenAlexW3109755839MaRDI QIDQ2214361

Grigori G. Amosov

Publication date: 8 December 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05136-x

zbMATH Keywords

functional representationquantum tomographyspace of Schwartz operators

Mathematics Subject Classification ID

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Quantum state tomography, quantum state discrimination (81P18)

Related Items (3)

On the space of Schwartz operators in the symmetric Fock space and its dual ⋮ Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki-Fannes-Winter technique ⋮ On quantum tomography on locally compact groups

Cites Work

• Unnamed Item
• Quantum systems, channels, information. A mathematical introduction.
• On tomographic representation on the plane of the space of Schwartz operators and its dual
• Calculating means of quantum observables in the optical tomography representation
• Quorum of observables for universal quantum estimation
• Schwartz operators
• Alternative commutation relations, star products and tomography
• On the Quantum Correction For Thermodynamic Equilibrium

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