Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7887
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dc.contributor.authorPashaev, Oktay-
dc.contributor.authorKoçak, Aygül-
dc.date.accessioned2020-07-18T03:35:20Z-
dc.date.available2020-07-18T03:35:20Z-
dc.date.issued2018-
dc.identifier.isbn9783030013752-
dc.identifier.issn2194-1009-
dc.identifier.urihttps://doi.org/10.1007/978-3-030-01376-9_10-
dc.identifier.urihttps://hdl.handle.net/11147/7887-
dc.description3rd International Conference on Symmetries, Differential Equations and Applications, SDEA-III 2017 -- 14 August 2018 through 17 August 2018 -- -- 220379en_US
dc.description.abstractThe Schrödinger cat states, constructed from Glauber coherent states and applied for description of qubits are generalized to the kaleidoscope of coherent states, related with regular n-polygon symmetry and the roots of unity. This quantum kaleidoscope is motivated by our method of classical hydrodynamics images in a wedge domain, described by q-calculus of analytic functions with q as a primitive root of unity. First we treat in detail the trinity states and the quartet states as descriptive for qutrit and ququat units of quantum information. Normalization formula for these states requires introduction of specific combinations of exponential functions with mod 3 and mod 4 symmetry, which are known also as generalized hyperbolic functions. We show that these states can be generated for an arbitrary n by the Quantum Fourier transform and can provide in general, qudit unit of quantum information. Relations of our states with quantum groups and quantum calculus are discussed. © Springer Nature Switzerland AG 2018.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofSpringer Proceedings in Mathematics and Statisticsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCoherent statesen_US
dc.subjectQuantum Fourier transformen_US
dc.subjectQuantum informationen_US
dc.subjectQubiten_US
dc.subjectQuditen_US
dc.subjectQutriten_US
dc.titleKaleidoscope of classical vortex images and quantum coherent statesen_US
dc.typeConference Objecten_US
dc.institutionauthorPashaev, Oktay K.-
dc.institutionauthorKoçak, Aygül-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume266en_US
dc.identifier.startpage179en_US
dc.identifier.endpage199en_US
dc.identifier.scopus2-s2.0-85056882755en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1007/978-3-030-01376-9_10-
dc.relation.doi10.1007/978-3-030-01376-9_10en_US
dc.coverage.doi10.1007/978-3-030-01376-9_10en_US
dc.identifier.scopusquality--
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.openairetypeConference Object-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.cerifentitytypePublications-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
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