Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
Quantum Physics
2016-01-13 v3 Statistical Mechanics
Abstract
The crucial feature of a memoryless stochastic process is that any information about its state can only decrease as the system evolves. Here we show that such a decrease of information is equivalent to the underlying stochastic evolution being divisible. The main result, which holds for both classical and quantum stochastic processes, rely on a quantum version of the so-called Blackwell-Sherman-Stein theorem in classical statistics.
Cite
@article{arxiv.1408.7062,
title = {Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes},
author = {Francesco Buscemi and Nilanjana Datta},
journal= {arXiv preprint arXiv:1408.7062},
year = {2016}
}
Comments
v3: published version. v2: extensive revision, lot of references added, same results. v1: 5+2 pages, 1 figure