A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Post-processing minimal joint observables
Tekijät: Teiko Heinosaari, Yui Kuramochi
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2019
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: ARTN 065301
Vuosikerta: 52
Numero: 6
Sivujen määrä: 22
ISSN: 1751-8113
eISSN: 1751-8121
DOI: https://doi.org/10.1088/1751-8121/aaf7bb
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/39603613
A finite set of quantum observables (positive operator valued measures) is called compatible if these observables are marginals of a some observable, called a joint observable of them. For a given set of compatible observables, their joint observable is in general not unique and it is desirable to take a minimal joint observable in the post-processing order since a less informative observable disturbs the system less. We address the question of the minimality of finite-outcome joint observables and prove that any joint observable is lower bounded by a minimal joint observable in the post-processing order. We also give characterizations of the minimality of a joint observable that can be checked by finite-step algorithms and apply them to the case of non-commuting dichotomic qubit observables.
Ladattava julkaisu This is an electronic reprint of the original article. |