Quantum stochastic products and the quantum convolution

DOI10.7546/giq-22-2021-64-77zbMath1471.81011OpenAlexW3163472958MaRDI QIDQ1980303

Paolo Aniello

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-64-77

zbMATH Keywords

group representationoperator algebraquantum statequantum measurementconvolution algebraquantum stochastic product

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum measurement theory, state operations, state preparations (81P15) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Operator algebra methods applied to problems in quantum theory (81R15) (L^1)-algebras on groups, semigroups, etc. (43A20) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (2)

Twirled products and group-covariant symbols ⋮ Group-covariant stochastic products and phase-space convolution algebras

Cites Work

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• Characterizing the dynamical semigroups that do not decrease a quantum entropy
• The Mathematical Language of Quantum Theory
• Star products: a group-theoretical point of view
• Frame transforms, star products and quantum mechanics on phase space
• Brownian motion on Lie groups and open quantum systems
• Square-Integrability of Induced Representations of Semidirect Products
• Symmetry witnesses
• A class of stochastic products on the convex set of quantum states
• SQUARE INTEGRABLE PROJECTIVE REPRESENTATIONS AND SQUARE INTEGRABLE REPRESENTATIONS MODULO A RELATIVELY CENTRAL SUBGROUP

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