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

Journal Article · Tue Feb 01 00:00:00 EST 2011 · Journal of Computational Physics

OSTI ID:21499761

Jinlong, Wu ^[1]; Peng, Xiang ^[2]

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1. LMAM and School of Mathematical Sciences, Peking University, Beijing 100871 (China)
2. CREAM Group, State Key Laboratory of Advanced Optical Communication Systems and Networks (Peking University) and Institute of Quantum Electronics, School of Electronics Engineering and Computer Science, Peking University, Beijing 100871 (China)

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.

• OSTI ID: 21499761
• Journal Information: Journal of Computational Physics, Vol. 230, Issue 3; Other Information: DOI: 10.1016/j.jcp.2010.10.015; PII: S0021-9991(10)00569-3; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL MODELS
MIXTURES
PHOTOELECTRON COUNTING
PHOTONS
STATISTICS
BOSONS
COUNTING TECHNIQUES
DISPERSIONS
ELEMENTARY PARTICLES
MASSLESS PARTICLES
MATHEMATICS