A1 Refereed original research article in a scientific journal
No-Broadcasting Characterizes Operational Contextuality
Authors: Jokinen, Pauli; Weilenmann, Mirjam; Plavala, Martin; Pellonpää, Juha-Pekka; Kiukas, Jukka; Uola, Roope
Publisher: AMER PHYSICAL SOC
Publishing place: COLLEGE PK
Publication year: 2024
Journal: Physical Review Letters
Journal name in source: PHYSICAL REVIEW LETTERS
Journal acronym: PHYS REV LETT
Article number: 240201
Volume: 133
Issue: 24
Number of pages: 7
ISSN: 0031-9007
eISSN: 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.133.240201
Web address : https://doi.org/10.1103/PhysRevLett.133.240201
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/477955869
Operational contextuality forms a rapidly developing subfield of quantum information theory. However, the characterization of the quantum mechanical entities that fuel the phenomenon has remained unknown with many partial results existing. Here, we present a resolution to this problem by connecting operational contextuality one-to-one with the no-broadcasting theorem. The connection works both on the level of full quantum theory and subtheories thereof. We demonstrate the connection in various relevant cases, showing especially that for quantum states the possibility of demonstrating contextuality is exactly characterized by non-commutativity, and for measurements this is done by a norm-1 property closely related to repeatability. Moreover, we show how techniques from broadcasting can be used to simplify known foundational results in contextuality.
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