Generalized tomographic maps and star-product formalism
M. Asorey, P. Facchi, V.I. Man'ko, G. Marmo, S. Pascazio, E.C.G., Sudarshan
TL;DR
This paper develops a unified framework for generalized tomograms in classical and quantum contexts, introducing star-products and explicit kernels, with potential applications in quantum optical tomography.
Contribution
It introduces a scheme of star-products for thick tomographic symbols and derives explicit kernels for classical and quantum generalized tomograms, expanding the mathematical tools for tomography.
Findings
Derived explicit kernels for classical and quantum tomograms.
Constructed a scheme of star-products for tomographic symbols.
Identified potential applications in quantum optical tomography.
Abstract
We elaborate on the notion of generalized tomograms, both in the classical and quantum domains. We construct a scheme of star-products of thick tomographic symbols and obtain in explicit form the kernels of classical and quantum generalized tomograms. Some of the new tomograms may have interesting applications in quantum optical tomography.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.