State reconstruction formulae for the S-distributions and quadratures

Jukka Kiukas*, Juha Pekka Pellonpää, Jussi Schultz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We consider the method of infinite matrix inversion in the context of quantum state reconstruction. Using this method we give rigorous proofs for reconstruction formulae for the Cahill-Glauber s-parametrized distributions and the rotated quadrature distributions. We also demonstrate how to construct the s-distributions from the quadrature data.

Original languageEnglish
Pages (from-to)55-84
Number of pages30
JournalReports on Mathematical Physics
Volume66
Issue number1
DOIs
Publication statusPublished - 01 Aug 2010
Externally publishedYes

Keywords

  • Informational completeness
  • Positive operator measures
  • Quasi-probability distributions
  • Rotated quadrature distributions
  • State reconstruction

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