A statistical model of information evaporation of perfectly reflecting black holes
Abstract
We provide a statistical communication model for the phenomenon of quantum information evaporation from black holes (BHs). A BH behaves as a reflecting quantum channel in a very special regime, which allows for a receiver to perfectly recover the absorbed quantum information. The quantum channel of a perfectly reflecting (PR) BH is the probabilistically weighted sum of infinitely many qubit cloning channels. In this work, we reveal the statistical communication background of the information evaporation process of PR BHs. We show that the density of the cloned quantum particles in function of the PR BH's mass approximates a Chisquare distribution, while the stimulated emission process is characterized by zeromean, circular symmetric complex Gaussian random variables. The results lead to the existence of Rayleigh random distributed coefficients in the probability density evolution, which confirms the presence of Rayleigh fading (a special type of random fluctuation) in the statistical communication model of BH information evaporation.
 Publication:

International Journal of Quantum Information
 Pub Date:
 February 2014
 DOI:
 10.1142/S0219749915600254
 arXiv:
 arXiv:1311.3598
 Bibcode:
 2014IJQI...1260025G
 Keywords:

 Black hole;
 quantum information;
 statistical communication;
 quantum Shannon theory;
 Quantum Physics;
 Computer Science  Information Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 11 pages, Journalref: Int. J. Quant. Inf. (2014)