Skip to Main content Skip to Navigation
Journal articles

Coherent States and Bayesian Duality

S. Twareque Ali J.-P. Gazeau 1 B. Heller
1 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : We demonstrate how large classes of discrete and continuous statistical distributions can be incorporated into coherent states, using the concept of a reproducing kernel Hilbert space. Each family of coherent states is shown to contain, in a sort of duality, which resembles an analogous duality in Bayesian statistics, a discrete probability distribution and a discretely parametrized family of continuous distributions. It turns out that nonlinear coherent states, of the type widely studied in quantum optics, are a particularly useful class of coherent states from this point of view, in that they contain many of the standard statistical distributions. We also look at vector coherent states and multidimensional coherent states as carriers of mixtures of probability distributions and joint probability distributions.
Complete list of metadata

http://hal.in2p3.fr/in2p3-00353246
Contributor : Simone Lantz Connect in order to contact the contributor
Submitted on : Thursday, January 15, 2009 - 10:52:46 AM
Last modification on : Wednesday, October 21, 2020 - 4:32:12 PM

Links full text

Identifiers

Citation

S. Twareque Ali, J.-P. Gazeau, B. Heller. Coherent States and Bayesian Duality. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2008, 41, pp.365302. ⟨10.1088/1751-8113/41/36/365302⟩. ⟨in2p3-00353246⟩

Share

Metrics

Record views

637