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dc.contributor.authorPashaev, Oktay
dc.contributor.authorGürkan, Zeynep Nilhan
dc.date.accessioned2017-05-15T07:19:17Z
dc.date.available2017-05-15T07:19:17Z
dc.date.issued2012-06
dc.identifier.citationPashaev, O. and Gürkan, Z. N. (2012). Energy localization in maximally entangled two- and three-qubit phase space. New Journal of Physics, 14. doi:10.1088/1367-2630/14/6/063007en_US
dc.identifier.issn1367-2630
dc.identifier.urihttp://dx.doi.org/10.1088/1367-2630/14/6/063007
dc.identifier.urihttp://hdl.handle.net/11147/5499
dc.description.abstractMotivated by theMobius transformation for symmetric points under the generalized circle in the complex plane, the system of symmetric spin coherent states corresponding to antipodal qubit states is introduced. In terms of these states, we construct the maximally entangled complete set of two-qubit coherent states, which in the limiting cases reduces to the Bell basis. A specific property of our symmetric coherent states is that they never become unentangled for any value of from the complex plane. Entanglement quantifications of our states are given by the reduced density matrix and the concurrence determinant, and it is shown that our basis is maximally entangled. Universal one- and twoqubit gates in these new coherent state basis are calculated. As an application, we find the Q symbol of the XY Z model Hamiltonian operator H as an average energy function in maximally entangled two- and three-qubit phase space. It shows regular finite-energy localized structure with specific local extremum points. The concurrence and fidelity of quantum evolution with dimerization of double periodic patterns are given.en_US
dc.description.sponsorshipNational Research Foundation; Ministry of Education; Izmir Institute of Technologyen_US
dc.language.isoengen_US
dc.publisherIOP Publishingen_US
dc.relation.isversionof10.1088/1367-2630/14/6/063007en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuantum entanglementen_US
dc.subjectAverage energyen_US
dc.subjectComplex planesen_US
dc.subjectHamiltoniansen_US
dc.subjectEnergy localizationen_US
dc.subjectMathematical operatorsen_US
dc.titleEnergy localization in maximally entangled two- and three-qubit phase spaceen_US
dc.typearticleen_US
dc.contributor.authorIDTR57865en_US
dc.contributor.iztechauthorPashaev, Oktay
dc.relation.journalNew Journal of Physicsen_US
dc.contributor.departmentİYTE, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume14en_US
dc.identifier.wosWOS:000306932200004
dc.identifier.scopusSCOPUS:2-s2.0-84862610853
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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