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Medientyp:
E-Artikel
Titel:
Assemblages and steering in general probabilistic theories
Beteiligte:
Jenčová, Anna
Erschienen:
IOP Publishing, 2022
Erschienen in:
Journal of Physics A: Mathematical and Theoretical, 55 (2022) 43, Seite 434001
Sprache:
Nicht zu entscheiden
DOI:
10.1088/1751-8121/ac97ce
ISSN:
1751-8113;
1751-8121
Entstehung:
Anmerkungen:
Beschreibung:
Abstract We study steering in the framework of general probabilistic theories. We show that for dichotomic assemblages, steering can be characterized in terms of a certain tensor cross norm, which is also related to a steering degree given by steering robustness. Another contribution is the observation that steering in general probabilistic theories (GPTs) can be conveniently treated using Choquet theory for probability measures on the state space. In particular, we find a variational expression for universal steering degree for dichotomic assemblages and obtain conditions characterizing unsteerable states analogous to some conditions recently found for the quantum case. The setting also enables us to rather easily extend the results to infinite dimensions and arbitrary numbers of measurements with arbitrary outcomes.