Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386001750> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W4386001750 abstract "The quantum walk is a quantum counterpart of the classical random walk. On the other hand, the absolute zeta function can be considered as a zeta function over $$mathbb {F}_1$$ . This paper presents a connection between the quantum walk and the absolute zeta function. First, we deal with a zeta function determined by a time evolution matrix of the Grover walk on a graph. The Grover walk is a typical model of the quantum walk. Then, we prove that the zeta function given by the quantum walk is an absolute automorphic form of weight depending on the number of edges of the graph. Furthermore we consider an absolute zeta function for the zeta function based on a quantum walk. As an example, we compute an absolute zeta function for the cycle graph and show that it is expressed as the multiple gamma function of order 2." @default.
- W4386001750 created "2023-08-20" @default.
- W4386001750 creator A5063052904 @default.
- W4386001750 date "2023-08-19" @default.
- W4386001750 modified "2023-10-07" @default.
- W4386001750 title "On the relation between quantum walks and absolute zeta functions" @default.
- W4386001750 cites W2003023727 @default.
- W4386001750 cites W2013603299 @default.
- W4386001750 cites W2031853656 @default.
- W4386001750 cites W2043558432 @default.
- W4386001750 cites W2087529490 @default.
- W4386001750 cites W2142193905 @default.
- W4386001750 cites W2765667380 @default.
- W4386001750 cites W2790223179 @default.
- W4386001750 cites W2892601725 @default.
- W4386001750 cites W2963733808 @default.
- W4386001750 cites W3098984909 @default.
- W4386001750 cites W3102327618 @default.
- W4386001750 cites W3138616029 @default.
- W4386001750 cites W4206287380 @default.
- W4386001750 cites W4211028461 @default.
- W4386001750 cites W4226366061 @default.
- W4386001750 cites W4230140912 @default.
- W4386001750 cites W4241598686 @default.
- W4386001750 cites W4242849907 @default.
- W4386001750 cites W4313401824 @default.
- W4386001750 cites W653833424 @default.
- W4386001750 cites W755194005 @default.
- W4386001750 doi "https://doi.org/10.1007/s40509-023-00308-1" @default.
- W4386001750 hasPublicationYear "2023" @default.
- W4386001750 type Work @default.
- W4386001750 citedByCount "0" @default.
- W4386001750 crossrefType "journal-article" @default.
- W4386001750 hasAuthorship W4386001750A5063052904 @default.
- W4386001750 hasBestOaLocation W43860017502 @default.
- W4386001750 hasConcept C105795698 @default.
- W4386001750 hasConcept C121194460 @default.
- W4386001750 hasConcept C121332964 @default.
- W4386001750 hasConcept C134306372 @default.
- W4386001750 hasConcept C137019171 @default.
- W4386001750 hasConcept C140058369 @default.
- W4386001750 hasConcept C33923547 @default.
- W4386001750 hasConcept C35235930 @default.
- W4386001750 hasConcept C62520636 @default.
- W4386001750 hasConcept C84114770 @default.
- W4386001750 hasConceptScore W4386001750C105795698 @default.
- W4386001750 hasConceptScore W4386001750C121194460 @default.
- W4386001750 hasConceptScore W4386001750C121332964 @default.
- W4386001750 hasConceptScore W4386001750C134306372 @default.
- W4386001750 hasConceptScore W4386001750C137019171 @default.
- W4386001750 hasConceptScore W4386001750C140058369 @default.
- W4386001750 hasConceptScore W4386001750C33923547 @default.
- W4386001750 hasConceptScore W4386001750C35235930 @default.
- W4386001750 hasConceptScore W4386001750C62520636 @default.
- W4386001750 hasConceptScore W4386001750C84114770 @default.
- W4386001750 hasLocation W43860017501 @default.
- W4386001750 hasLocation W43860017502 @default.
- W4386001750 hasOpenAccess W4386001750 @default.
- W4386001750 hasPrimaryLocation W43860017501 @default.
- W4386001750 hasRelatedWork W131888345 @default.
- W4386001750 hasRelatedWork W1684851900 @default.
- W4386001750 hasRelatedWork W1968287309 @default.
- W4386001750 hasRelatedWork W2089342336 @default.
- W4386001750 hasRelatedWork W2620675804 @default.
- W4386001750 hasRelatedWork W2949694831 @default.
- W4386001750 hasRelatedWork W2962981807 @default.
- W4386001750 hasRelatedWork W4289863690 @default.
- W4386001750 hasRelatedWork W4313401824 @default.
- W4386001750 hasRelatedWork W635539596 @default.
- W4386001750 isParatext "false" @default.
- W4386001750 isRetracted "false" @default.
- W4386001750 workType "article" @default.