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arXiv · 1511.07548

An Invitation to Quantum Incompatibility

Teiko Heinosaari·Takayuki Miyadera·Mario Ziman
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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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Teiko Heinosaari, Takayuki Miyadera, Mario Ziman. 2015-11-24. An Invitation to Quantum Incompatibility. https://doi.org/10.1088/1751-8113/49/12/123001

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