Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 49, Issue 12, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/49/12/123001
Keywords
quantum measurement; quantum observable; quantum channel; incompatibility; quantum instrument; operational theory
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Funding
- JSPS KAKENHI [15K04998]
- project QUICOST VEGA [2/0125/13]
- project QIMABOS [APVV-0808-12]
- Grants-in-Aid for Scientific Research [15K04998] Funding Source: KAKEN
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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 'nocloning' 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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