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arXiv · 1803.10393

Quantum Coupling and Strassen Theorem

Li Zhou·Shenggang Ying·Nengkun Yu·Mingsheng Ying
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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.

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Li Zhou, Shenggang Ying, Nengkun Yu, Mingsheng Ying. 2018-03-28. Quantum Coupling and Strassen Theorem. https://arxiv.org/abs/1803.10393

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