Statistical method for resolving the photon–photoelectron-counting inversion problem

✍ Scribed by Jinlong Wu; Tiejun Li; Xiang Peng; Hong Guo

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 829 KB
• Volume: 230
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1016/j.jcp.2010.10.015

✦ Synopsis

A statistical inversion method is proposed for the photon-photoelectron-counting statistics in quantum key distribution experiment. With the statistical viewpoint, this problem is equivalent to the parameter estimation for an infinite binomial mixture model. The coarse-graining idea and Bayesian methods are applied to deal with this ill-posed problem, which is a good simple example to show the successful application of the statistical methods to the inverse problem. Numerical results show the applicability of the proposed strategy. The coarse-graining idea for the infinite mixture models should be general to be used in the future.