English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For any graph consisting of $k$ vertices and $m$ edges we construct anensemble of random pure quantum states which describe a system composed of $2m$subsystems. Each edge of the graph represents a bi-partite, maximally entangledstate. Each vertex represents a random unitary matrix generated according tothe Haar measure, which describes the coupling between subsystems. Dividing allsubsystems into two parts, one may study entanglement with respect to thispartition. A general technique to derive an expression for the averageentanglement entropy of random pure states associated to a given graph ispresented. Our technique relies on Weingarten calculus and flow problems. Weanalyze statistical properties of spectra of such random density matrices andshow for which cases they are described by the free Poissonian(Marchenko-Pastur) distribution. We derive a discrete family of generalized,Fuss-Catalan distributions and explicitly construct graphs which lead toensembles of random states characterized by these novel distributions ofeigenvalues.

Random graph states, maximal flow and Fuss-Catalan distributions