A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Necessary condition for incompatibility of observables in general probabilistic theories
Tekijät: Filippov SN, Heinosaari T, Leppajarvi L
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2017
Journal: Physical Review A
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW A
Lehden akronyymi: PHYS REV A
Artikkelin numero: ARTN 032127
Vuosikerta: 95
Numero: 3
Sivujen määrä: 8
ISSN: 2469-9926
eISSN: 2469-9934
DOI: https://doi.org/10.1103/PhysRevA.95.032127
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/22377757
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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