On the Chernoff bound for efficiency of quantum hypothesis testing
Statistics Theory
2007-09-03 v1 Mathematical Physics
math.MP
Quantum Physics
Statistics Theory
Abstract
The paper estimates the Chernoff rate for the efficiency of quantum hypothesis testing. For both joint and separable measurements, approximate bounds for the rate are given if both states are mixed and exact expressions are derived if at least one of the states is pure. The efficiency of tests with separable measurements is found to be close to the efficiency of tests with joint measurements. The results are illustrated by a test of quantum entanglement.
Keywords
Cite
@article{arxiv.math/0308077,
title = {On the Chernoff bound for efficiency of quantum hypothesis testing},
author = {Vladislav Kargin},
journal= {arXiv preprint arXiv:math/0308077},
year = {2007}
}
Comments
15 pages, no figures