Reconstructing the density operator by using generalized field quadratures

1996/06/29 by G M D'Ariano, G. M. D'Ariano, S. Mancini +5 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1088/1355-5111/8/5/007

published as Quant.Semiclass.Opt. 8 (1996) 1017 · 17 pages, Latex,accepted by Quantum and Semiclassical Optics

arxiv created 1996/06/29 · openalex publication_date 1996/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The Wigner function for one and two-mode quantum systems is explicitely expressed in terms of the marginal distribution for the generic linearly transformed quadratures. Then, also the density operator of those systems is written in terms of the marginal distribution of these quadratures. Some examples to apply this formalism, and a reduction to the usual optical homodyne tomography are considered.

Citations

• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
• Density Operators and Quasiprobability Distributions
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• On the Quantum Correction For Thermodynamic Equilibrium

Cited by

• On the meaning and interpretation of tomography in abstract Hilbert spaces
• On the tomographic picture of quantum mechanics
• On the inversion of the Radon transform: standard versus M 2 approach