Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225758486> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4225758486 abstract "Magic sets of observables are minimal structures that capture quantum state-independent advantage for systems of $nge 2$ qubits and are, therefore, fundamental tools for investigating the interface between classical and quantum physics. A theorem by Arkhipov (arXiv:1209.3819) states that $n$-qubit magic sets in which each observable is in exactly two subsets of compatible observables can be reduced either to the two-qubit magic square or the three-qubit magic pentagram [N. D. Mermin, Phys. Rev. Lett. 65, 3373 (1990)]. An open question is whether there are magic sets that cannot be reduced to the square or the pentagram. If they exist, a second key question is whether they require $n >3$ qubits, since, if this is the case, these magic sets would capture minimal state independent quantum advantage that is specific for $n$-qubit systems with specific values of $n$. Here, we answer both questions affirmatively. We identify magic sets which cannot be reduced to the square or the pentagram and require $n=3,4,5$, or $6$ qubits. In addition, we prove a generalized version of Arkhipov's theorem providing an efficient algorithm for, given a hypergraph, deciding whether or not it can accommodate a magic set, and solve another open problem, namely, given a magic set, obtaining the tight bound of its associated noncontextuality inequality." @default.
- W4225758486 created "2022-05-05" @default.
- W4225758486 creator A5016403140 @default.
- W4225758486 creator A5027718822 @default.
- W4225758486 creator A5057999502 @default.
- W4225758486 date "2022-02-26" @default.
- W4225758486 modified "2023-10-18" @default.
- W4225758486 title "Irreducible magic sets for $n$-qubit systems" @default.
- W4225758486 doi "https://doi.org/10.48550/arxiv.2202.13141" @default.
- W4225758486 hasPublicationYear "2022" @default.
- W4225758486 type Work @default.
- W4225758486 citedByCount "0" @default.
- W4225758486 crossrefType "posted-content" @default.
- W4225758486 hasAuthorship W4225758486A5016403140 @default.
- W4225758486 hasAuthorship W4225758486A5027718822 @default.
- W4225758486 hasAuthorship W4225758486A5057999502 @default.
- W4225758486 hasBestOaLocation W42257584861 @default.
- W4225758486 hasConcept C114614502 @default.
- W4225758486 hasConcept C118615104 @default.
- W4225758486 hasConcept C121332964 @default.
- W4225758486 hasConcept C203087015 @default.
- W4225758486 hasConcept C2777704519 @default.
- W4225758486 hasConcept C32848918 @default.
- W4225758486 hasConcept C33332235 @default.
- W4225758486 hasConcept C33923547 @default.
- W4225758486 hasConcept C44201097 @default.
- W4225758486 hasConcept C62520636 @default.
- W4225758486 hasConcept C84114770 @default.
- W4225758486 hasConceptScore W4225758486C114614502 @default.
- W4225758486 hasConceptScore W4225758486C118615104 @default.
- W4225758486 hasConceptScore W4225758486C121332964 @default.
- W4225758486 hasConceptScore W4225758486C203087015 @default.
- W4225758486 hasConceptScore W4225758486C2777704519 @default.
- W4225758486 hasConceptScore W4225758486C32848918 @default.
- W4225758486 hasConceptScore W4225758486C33332235 @default.
- W4225758486 hasConceptScore W4225758486C33923547 @default.
- W4225758486 hasConceptScore W4225758486C44201097 @default.
- W4225758486 hasConceptScore W4225758486C62520636 @default.
- W4225758486 hasConceptScore W4225758486C84114770 @default.
- W4225758486 hasLocation W42257584861 @default.
- W4225758486 hasOpenAccess W4225758486 @default.
- W4225758486 hasPrimaryLocation W42257584861 @default.
- W4225758486 hasRelatedWork W15162288 @default.
- W4225758486 hasRelatedWork W2073462661 @default.
- W4225758486 hasRelatedWork W2095426307 @default.
- W4225758486 hasRelatedWork W2137386717 @default.
- W4225758486 hasRelatedWork W2278224711 @default.
- W4225758486 hasRelatedWork W2950909390 @default.
- W4225758486 hasRelatedWork W2952829825 @default.
- W4225758486 hasRelatedWork W3102861649 @default.
- W4225758486 hasRelatedWork W4220808965 @default.
- W4225758486 hasRelatedWork W4225758486 @default.
- W4225758486 isParatext "false" @default.
- W4225758486 isRetracted "false" @default.
- W4225758486 workType "article" @default.