Repozytorium Uniwersytetu Jagiellońskiego

Area law for random graph states

Area law for random graph states

Metadane (Dublin Core) Collins, Benoît pl Nechita, Ion pl Życzkowski, Karol [SAP11011566] pl 2015-06-23T10:02:27Z 2015-06-23T10:02:27Z 2013 pl
dc.identifier.issn 1751-8113 pl
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title Area law for random graph states pl
dc.type JournalArticle pl
dc.abstract.en Random pure states of multi-partite quantum systems, associated with arbitrary graphs, are investigated. Each vertex of the graph represents a generic interaction between subsystems, described by a random unitary matrix distributed according to the Haar measure, while each edge of the graph represents a bipartite, maximally entangled state. For any splitting of the graph into two parts we consider the corresponding partition of the quantum system and compute the average entropy of entanglement. First, in the special case where the partition does not cross any vertex of the graph, we show that the area law is satisfied exactly. In the general case, we show that the entropy of entanglement obeys an area law on average, this time with a correction term that depends on the topologies of the graph and of the partition. The results obtained are applied to the problem of distribution of quantum entanglement in a quantum network with prescribed topology. pl
dc.description.volume 46 pl
dc.description.number 30 pl
dc.description.publication 1 pl
dc.identifier.doi 10.1088/1751-8113/46/30/305302 pl
dc.identifier.eissn 1751-8121 pl
dc.title.journal Journal of Physics. A, Mathematical and Theoretical pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 305302 pl
dc.rights.original bez licencji pl
.pointsMNiSW [2013 A]: 30

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