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arXiv:2004.12687 · Journal of Physics Conference Series

Quantum incompatibility from the viewpoint of entanglement theory

Teiko Heinosaari

Published Oct 1, 2020• 4 citations
arXivHTMLPDF

Abstract

Abstract In this essay I discuss certain analogies between quantum incompatibility and entanglement. It is an expanded version of my talk presented at Mathematical Foundations of Quantum Mechanics in memoriam Paul Busch, held in York in June 2019.
DOI
10.1088/1742-6596/1638/1/012002

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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.
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