Quantum Coupling and Strassen Theorem
Quantum Physics
2018-03-29 v1 Logic in Computer Science
Abstract
We introduce a quantum generalisation of the notion of coupling in probability theory. Several interesting examples and basic properties of quantum couplings are presented. In particular, we prove a quantum extension of Strassen theorem for probabilistic couplings, a fundamental theorem in probability theory that can be used to bound the probability of an event in a distribution by the probability of an event in another distribution coupled with the first.
Cite
@article{arxiv.1803.10393,
title = {Quantum Coupling and Strassen Theorem},
author = {Li Zhou and Shenggang Ying and Nengkun Yu and Mingsheng Ying},
journal= {arXiv preprint arXiv:1803.10393},
year = {2018}
}