authors
- IBORT LATRE, LUIS ALBERTO
- MAN'KO, V. I.
- MARMO, GIUSEPPE
- Simoni, A.
- VENTRIGILIA, F.
On the Tomographic Picture of Quantum Mechanics
Articles
Overview
published in
- PHYSICS LETTERS A Journal
publication date
- April 2010
start page
- 2614
end page
- 2617
issue
- 26
volume
- 374
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0375-9601
Electronic International Standard Serial Number (EISSN)
- 1873-2429
abstract
-
We formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction by means of symplectic
tomograms with the construction by means of Naimark positive definite
functions on the Weyl&-Heisenberg group. This connection is used to
formulate properties which guarantee that tomographic probabilities
describe quantum states in the probability representation of quantum
mechanics.