Tomographic measurement of the density matrix of the radiation field
- 1 August 1995
- journal article
- Published by IOP Publishing in Quantum and Semiclassical Optics: Journal of the European Optical Society Part B
- Vol. 7 (4) , 693-704
- https://doi.org/10.1088/1355-5111/7/4/022
Abstract
Recently a novel homodine tomographic technique has been proposed which allows us to detect the density matrix experimentally in terms of averages on data. The method has been further extended to a general matrix element ( psi mod Q mod phi ) of the density operator Q, along with the possibility of using low-efficiency detectors. In this paper this technique is reconsidered as a new genuine quantum measurement. Numerical results for measured probabilities are given, and the mechanism underlying the generation of statistical errors in the measured matrix is illustrated. It is shown that the data processing of the novel technique can also be used as a new imaging algorithm for conventional tomography.Keywords
This publication has 6 references indexed in Scilit:
- Precision of quantum tomographic detection of radiationPhysics Letters A, 1994
- Detection of the density matrix through optical homodyne tomography without filtered back projectionPhysical Review A, 1994
- Measurement of number-phase uncertainty relations of optical fieldsPhysical Review A, 1993
- Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuumPhysical Review Letters, 1993
- Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phasePhysical Review A, 1989
- Oscillations in photon distribution of squeezed states and interference in phase spaceNature, 1987