Details
| Original language | English |
|---|---|
| Article number | 240201 |
| Number of pages | 7 |
| Journal | Physical review letters |
| Volume | 133 |
| Issue number | 24 |
| Publication status | Published - 9 Dec 2024 |
Abstract
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review letters, Vol. 133, No. 24, 240201, 09.12.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - No-Broadcasting Characterizes Operational Contextuality
AU - Jokinen, Pauli
AU - Weilenmann, Mirjam
AU - Plávala, Martin
AU - Pellonpää, Juha Pekka
AU - Kiukas, Jukka
AU - Uola, Roope
N1 - Publisher Copyright: © 2024 American Physical Society.
PY - 2024/12/9
Y1 - 2024/12/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85211759286&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2406.07305
DO - 10.48550/arXiv.2406.07305
M3 - Article
AN - SCOPUS:85211759286
VL - 133
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 24
M1 - 240201
ER -