Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5426
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dc.contributor.authorPashaev, Oktay-
dc.date.accessioned2017-04-27T11:56:54Z-
dc.date.available2017-04-27T11:56:54Z-
dc.date.issued2014-
dc.identifier.citationPashaev, O. (2014). Two-circles theorem, q-periodic functions and entangled qubit states. Journal of Physics: Conference Series, 482(1). doi:10.1088/1742-6596/482/1/012033en_US
dc.identifier.issn1742-6588-
dc.identifier.issn1742-6596-
dc.identifier.urihttp://doi.org/10.1088/1742-6596/482/1/012033-
dc.identifier.urihttp://hdl.handle.net/11147/5426-
dc.descriptionPhysics and Mathematics of Nonlinear Phenomena 2013, PMNP 2013; Gallipoli; Italy; 22 June 2013 through 29 June 2013en_US
dc.description.abstractFor arbitrary hydrodynamic flow in circular annulus we introduce the two circle theorem, allowing us to construct the flow from a given one in infinite plane. Our construction is based on q-periodic analytic functions for complex potential, leading to fixed scale-invariant complex velocity, where q is determined by geometry of the region. Self-similar fractal structure of the flow with q-periodic modulation as solution of q-difference equation is studied. For one point vortex problem in circular annulus by fixing singular points we find solution in terms of q-elementary functions. Considering image points in complex plane as a phase space for qubit coherent states we construct Fibonacci and Lucas type entangled N-qubit states. Complex Fibonacci curve related to this construction shows reach set of geometric patterns.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.ispartofJournal of Physics: Conference Seriesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPeriodic structuresen_US
dc.subjectDifference equationsen_US
dc.subjectFractalsen_US
dc.subjectPhase space methodsen_US
dc.subjectQuantum entanglementen_US
dc.titleTwo-circles theorem, q-periodic functions and entangled qubit statesen_US
dc.typeConference Objecten_US
dc.authoridTR57865en_US
dc.institutionauthorPashaev, Oktay-
dc.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume482en_US
dc.identifier.issue1en_US
dc.identifier.wosWOS:000334352400032en_US
dc.identifier.scopus2-s2.0-84892570825en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1088/1742-6596/482/1/012033-
dc.relation.doi10.1088/1742-6596/482/1/012033en_US
dc.coverage.doi10.1088/1742-6596/482/1/012033en_US
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.openairetypeConference Object-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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