Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Reports on Mathematical Physics

State reconstruction formulae for the S-distributions and quadratures

Jukka Kiukas, Juha-Pekka Pellonpää, Jussi Schultz

Published Aug 1, 2010• 5 citations
Publisher
DOI
10.1016/s0034-4877(10)80024-2

Related papers

State reconstruction formulas for the s-distributions and quadratures

Jukka Kiukas, Juha-Pekka Pellonpää, Jussi Schultz

We consider the method of infinite matrix inversion in the context of quantum state reconstruction. Using this method we give rigorous proofs for reconstruction formulas 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.

arXiv:0909.3416•Sep 18, 2009•2 citations

Determination of s-ordered moments and moment generating function from quadrature distributions

Thomas Richter

Journal of Modern Optics•Dec 15, 1999•1 citation

On q-analogues of the statistical distribution

Chin Rong Lee, Jyh-Ping Yu

Physics Letters A•Oct 1, 1990•83 citations

On tomographic reconstruction of the quantum state of a two-mode light field

Th. Richter

We consider the state reconstruction of an optical two-mode light field from sum quadrature distributions measured with a single balanced homodyne detector. New explicit formulas for the pattern functions necessary to reconstruct the density matrix of the two-mode field in the photon-number basis are derived. Moreover, an expression of the measured quadature distribution in terms of the two-mode normally ordered moments is given and the determination of the moments from it is discussed.

Journal of Modern Optics•Nov 1, 1997•14 citations

Operational and harmonic-analytic aspects of quasi-probability distributions

僚 原田

•Jan 1, 2011•0 citations

Direct sampling of density matrix in displaced Fock-state basis from quadrature distributions and reconstruction of quasiprobability distributions

Th. Richter

The sampling functions needed to reconstruct from quadrature distributions the density matrix elements in the displaced Fock-state basis are determined as scaled and shifted pattern functions fmn used to reconstruct the density matrix elements Q mn in the Fock-state basis. Having at hand the diagonal density matrix elements one can reconstruct any s-parametrized quasiprobability distribution via a simple weighted sum over these quantities. A smoothed Wigner function can be directly sampled from the measured quadrature distribution of the signal field. The corresponding sampling function is just a shifted and scaled version of f 00.

Journal of Modern Optics•Jul 10, 1999•3 citations
The sampling functions needed to reconstruct from quadrature distributions the density matrix elements in the displaced Fock-state basis are determined as scaled and shifted pattern functions fmn used to reconstruct the density matrix elements Q mn in the Fock-state basis. Having at hand the diagonal density matrix elements one can reconstruct any s-parametrized quasiprobability distribution via a simple weighted sum over these quantities. A smoothed Wigner function can be directly sampled from the measured quadrature distribution of the signal field. The corresponding sampling function is just a shifted and scaled version of f 00.