This article is cited in 2 papers

Brief communications

Reconstruction of a pure state from incomplete information on its optical tomogram

G. G. Amosov^a, A. I. Dnestryan<sup>b

a</sup> Department of Probability and Statistics, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
^b Chair of Higher Mathematics, Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow, Russia

Abstract: We consider the problem of reconstructing a state (i.e., a positive unit-trace operator) from incomplete information on its optical tomogram. In the case, when a (pure) state is determined by a function representing a linear combination of $N$ ground and excited states of a quantum oscillator, we propose a technique for reconstructing this state from $N$ values of its tomogram. For $N=3$ we find an exact solution to the problem under consideration.

Keywords: state, optical tomogram, eigenfunctions of integral operator.

UDC: 517.98

Presented by the member of Editorial Board: A. M. Bikchentaev
Received: 07.08.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:3, 51–55

Bibliographic databases:

•