Coherent States and Bayesian Duality

Details Coherent States and Bayesian Duality Coherent States and Bayesian Duality

2008-03-15

arxiv.org/abs/0803.2269v1

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/41/36/365302

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.

Affiliated with

Also associated with

No associations

Rating

Coherent States and Bayesian Duality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coherent States and Bayesian Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent States and Bayesian Duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438625