Form of contextuality predicting probabilistic equivalence between two sets of three mutually noncommuting observables

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00372193" target="_blank" >RIV/68407700:21230/24:00372193 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevA.109.022222" target="_blank" >https://doi.org/10.1103/PhysRevA.109.022222</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.109.022222" target="_blank" >10.1103/PhysRevA.109.022222</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Form of contextuality predicting probabilistic equivalence between two sets of three mutually noncommuting observables

Popis výsledku v původním jazyce

We introduce a contextual quantum system comprising mutually complementary observables organized into two or more collections of pseudocontexts with the same probability sums of outcomes. These pseudocontexts constitute non-orthogonal bases within the Hilbert space, featuring a state-independent sum of probabilities. In other words, regardless of the initial state preparation, the total probability remains constant but may be distinct from unity. The measurement contextuality in this setup arises from the quantum realizations of the hypergraph, which adhere to a specific bound on the linear combination of probabilities. In contrast, classical realizations can surpass this bound. The violation of quantum bounds stems from the inability of classical ontological models, specifically the set theoretic representation of the hypergraph corresponding to the quantum observables’ collections, to adhere to and explain the observed statistics.

Název v anglickém jazyce

Form of contextuality predicting probabilistic equivalence between two sets of three mutually noncommuting observables

Popis výsledku anglicky

We introduce a contextual quantum system comprising mutually complementary observables organized into two or more collections of pseudocontexts with the same probability sums of outcomes. These pseudocontexts constitute non-orthogonal bases within the Hilbert space, featuring a state-independent sum of probabilities. In other words, regardless of the initial state preparation, the total probability remains constant but may be distinct from unity. The measurement contextuality in this setup arises from the quantum realizations of the hypergraph, which adhere to a specific bound on the linear combination of probabilities. In contrast, classical realizations can surpass this bound. The violation of quantum bounds stems from the inability of classical ontological models, specifically the set theoretic representation of the hypergraph corresponding to the quantum observables’ collections, to adhere to and explain the observed statistics.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GF20-09869L" target="_blank" >GF20-09869L: Ortomodularita z různých pohledů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICAL REVIEW A

ISSN

2469-9926

e-ISSN

2469-9934

Svazek periodika

109

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

18

Strana od-do

—

Kód UT WoS článku

001172355600008

EID výsledku v databázi Scopus

2-s2.0-85185887198