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2018-12-05Zeitschriftenartikel DOI: 10.3390/e20120928
Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces
dc.contributor.authorPavicic, Mladen
dc.contributor.authorMegill, Norman D.
dc.date.accessioned2019-08-28T11:45:25Z
dc.date.available2019-08-28T11:45:25Z
dc.date.issued2018-12-05none
dc.date.updated2019-08-01T07:06:10Z
dc.identifier.urihttp://edoc.hu-berlin.de/18452/21217
dc.description.abstractRecently, quantum contextuality has been proved to be the source of quantum computation’s power. That, together with multiple recent contextual experiments, prompts improving the methods of generation of contextual sets and finding their features. The most elaborated contextual sets, which offer blueprints for contextual experiments and computational gates, are the Kochen–Specker (KS) sets. In this paper, we show a method of vector generation that supersedes previous methods. It is implemented by means of algorithms and programs that generate hypergraphs embodying the Kochen–Specker property and that are designed to be carried out on supercomputers. We show that vector component generation of KS hypergraphs exhausts all possible vectors that can be constructed from chosen vector components, in contrast to previous studies that used incomplete lists of vectors and therefore missed a majority of hypergraphs. Consequently, this unified method is far more efficient for generations of KS sets and their implementation in quantum computation and quantum communication. Several new KS classes and their features have been found and are elaborated on in the paper. Greechie diagrams are discussed.eng
dc.description.sponsorshipHrvatska Zaklada za Znanost
dc.description.sponsorshipMSE
dc.language.isoengnone
dc.publisherHumboldt-Universität zu Berlin
dc.rights(CC BY 4.0) Attribution 4.0 Internationalger
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectquantum contextualityeng
dc.subjectKochen–Specker setseng
dc.subjectMMP hypergraphseng
dc.subjectGreechie diagramseng
dc.subject.ddc530 Physiknone
dc.titleVector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spacesnone
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-110-18452/21217-3
dc.identifier.doi10.3390/e20120928none
dc.identifier.doihttp://dx.doi.org/10.18452/20449
dc.type.versionpublishedVersionnone
local.edoc.container-titleEntropynone
local.edoc.pages12none
local.edoc.type-nameZeitschriftenartikel
local.edoc.institutionMathematisch-Naturwissenschaftliche Fakultätnone
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
local.edoc.container-publisher-nameMDPInone
local.edoc.container-publisher-placeBaselnone
local.edoc.container-volume20none
local.edoc.container-issue12none
dc.description.versionPeer Reviewednone
local.edoc.container-articlenumber928none
dc.identifier.eissn1099-4300
local.edoc.affiliationPavičić, Mladen; Nano Optics, Department of Physics, Humboldt University, 12489 Berlin, Germany, Center of Excellence for Advanced Materials and Sensors, Research Unit Photonics and Quantum Optics, Institute Ruder Bošković, 10000 Zagreb, Croatia,none
local.edoc.affiliationMegill, Norman D.; Boston Information Group, Lexington, MA 02420, USA,none

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