An Invitation to Quantum Incompatibility
Quantum Physics
2016-02-18 v1
Abstract
In the context of a physical theory, two devices, A and B, described by the theory are called incompatible if the theory does not allow the existence of a third device C that would have both A and B as its components. Incompatibility is a fascinating aspect of physical theories, especially in the case of quantum theory. The concept of incompatibility gives a common ground for several famous impossibility statements within quantum theory, such as ``no-cloning'' and ``no information without disturbance''; these can be all seen as statements about incompatibility of certain devices. The purpose of this paper is to give a concise overview of some of the central aspects of incompatibility.
Cite
@article{arxiv.1511.07548,
title = {An Invitation to Quantum Incompatibility},
author = {Teiko Heinosaari and Takayuki Miyadera and Mario Ziman},
journal= {arXiv preprint arXiv:1511.07548},
year = {2016}
}