A1 Refereed original research article in a scientific journal

Necessary condition for incompatibility of observables in general probabilistic theories



Authors: Filippov SN, Heinosaari T, Leppajarvi L

Publisher: AMER PHYSICAL SOC

Publication year: 2017

Journal: Physical Review A

Journal name in source: PHYSICAL REVIEW A

Journal acronym: PHYS REV A

Article number: ARTN 032127

Volume: 95

Issue: 3

Number of pages: 8

ISSN: 2469-9926

eISSN: 2469-9934

DOI: https://doi.org/10.1103/PhysRevA.95.032127

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/22377757


Abstract
We quantify the intrinsic noise content of an observable in a general probabilistic theory and derive a noise content inequality for incompatible observables. We apply the derived inequality to standard quantum theory, the quantum theory of processes, and polytope state spaces. The noise content for positive operator-valued measures takes a particularly simple form and equals the sum of minimal eigenvalues of all the effects. We illustrate our findings with a number of examples including the introduced notion of reverse observables.

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Last updated on 2024-26-11 at 13:00