2018/03/28 by Zhou, Li, Ying, Shenggang, Yu, Nengkun +1
#FOS: Computer and information sciences #FOS: Physical sciences #Logic in Computer Science (cs.LO) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.1803.10393
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.