ArticleEntropy (Basel, Switzerland)2022
Symplectic Radon Transform and the Metaplectic Representation.
Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Probability Distributions Describing Qubit-State Superpositions.Entropy (Basel, Switzerland) · 2023Article
- Dynamics of System States in the Probability Representation of Quantum Mechanics.Entropy (Basel, Switzerland) · 2023Article
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Abstract
We study the symplectic Radon transform from the point of view of the metaplectic representation of the symplectic group and its action on the Lagrangian Grassmannian. We give rigorous proofs in the general setting of multi-dimensional quantum systems. We interpret the Radon transform of a quantum state as a generalized marginal distribution for its Wigner transform; the inverse Radon transform thus appears as a "demarginalization process" for the Wigner distribution.
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