@article {IOPORT.05840116, author = {Wu, Jinlong and Li, Tiejun and Peng, Xiang and Guo, Hong}, title = {Statistical method for resolving the photon-photoelectron-counting inversion problem.}, year = {2011}, journal = {Journal of Computational Physics}, volume = {230}, number = {3}, issn = {0021-9991}, pages = {726-743}, publisher = {Elsevier Science (Academic Press), Amsterdam}, doi = {10.1016/j.jcp.2010.10.015}, abstract = {Summary: 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.}, identifier = {05840116}, }