Grassmannian connection between three- and four-qubit observables, Mermin’s contextuality and black holes View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-09

AUTHORS

Péter Lévay, Michel Planat, Metod Saniga

ABSTRACT

We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four -qubit ones. After labeling the elements of the former set in terms of a seven-dimensional Clifford algebra, we present the bijective map and most pronounced actions of the associated symplectic group on both sets in explicit forms. This formalism is then employed to shed novel light on recently-discovered structural and cardinality properties of an aggregate of three-qubit Mermin’s “magic” pentagrams. Moreover, some intriguing connections with the so-called black-hole-qubit correspondence are also pointed out. More... »

PAGES

37

References to SciGraph publications

  • 2013-07. Distinguished three-qubit ‘magicity’ via automorphisms of the split Cayley hexagon in QUANTUM INFORMATION PROCESSING
  • 1994. Discriminants, Resultants, and Multidimensional Determinants in NONE
  • 2004-10. Gosset’s figure in a Clifford algebra in ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • 2008-06. On the geometry of the exceptional group G2(q), q even in DESIGNS, CODES AND CRYPTOGRAPHY
  • 2010-03. Multi-black holes from nilpotent Lie algebra orbits in GENERAL RELATIVITY AND GRAVITATION
  • 2001-09. Generalized Flatland in THE MATHEMATICAL INTELLIGENCER
  • 1963-12. An orthogonal group of order 213·35·52·7 in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2010-01. Extremal black holes, nilpotent orbits and the true fake superpotential in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-01. Universal BPS structure of stationary supergravity solutions in JOURNAL OF HIGH ENERGY PHYSICS
  • 1988-06. 4-Dimensional black holes from Kaluza-Klein theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2000-02. On Nonlinear σ-Models Arising in (Super-)Gravity in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1997-03. Contraction of Exterior Powers in Characteristic 2 and the Spin Module in GEOMETRIAE DEDICATA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep09(2013)037

    DOI

    http://dx.doi.org/10.1007/jhep09(2013)037

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1015934554


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Budapest University of Technology and Economics", 
              "id": "https://www.grid.ac/institutes/grid.6759.d", 
              "name": [
                "Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1521, Budapest, Hungary"
              ], 
              "type": "Organization"
            }, 
            "familyName": "L\u00e9vay", 
            "givenName": "P\u00e9ter", 
            "id": "sg:person.014267404472.92", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014267404472.92"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Franche Comt\u00e9 \u00c9lectronique M\u00e9canique Thermique et Optique Sciences et Technologies", 
              "id": "https://www.grid.ac/institutes/grid.462068.e", 
              "name": [
                "Institut FEMTO-ST, CNRS, 32 Avenue de l\u2019Observatorie, F-25044, Besan\u00e7on, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Planat", 
            "givenName": "Michel", 
            "id": "sg:person.016076407625.27", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016076407625.27"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Astronomical Institute", 
              "id": "https://www.grid.ac/institutes/grid.493212.f", 
              "name": [
                "Astronomical Institute, Slovak Academy of Sciences, SK-05960, Tatransk\u00e1 Lomnica, Slovak Republic"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Saniga", 
            "givenName": "Metod", 
            "id": "sg:person.015610617470.96", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015610617470.96"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s002200050038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000190308", 
              "https://doi.org/10.1007/s002200050038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10623-007-9107-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002089720", 
              "https://doi.org/10.1007/s10623-007-9107-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00006-004-0014-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002839464", 
              "https://doi.org/10.1007/s00006-004-0014-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00006-004-0014-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002839464", 
              "https://doi.org/10.1007/s00006-004-0014-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1004961421891", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002974078", 
              "https://doi.org/10.1023/a:1004961421891"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1006/jabr.1995.1092", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004844362"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0012-365x(98)00294-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006238004"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.62.062314", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009437204"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.62.062314", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009437204"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.79.084036", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011459346"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.79.084036", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011459346"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1016648113", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-0-8176-4771-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016648113", 
              "https://doi.org/10.1007/978-0-8176-4771-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-0-8176-4771-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016648113", 
              "https://doi.org/10.1007/978-0-8176-4771-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0370-1573(99)00004-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017028698"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jalgebra.2006.04.029", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018582038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01217967", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019852825", 
              "https://doi.org/10.1007/bf01217967"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01217967", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019852825", 
              "https://doi.org/10.1007/bf01217967"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.75.024024", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020157974"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.75.024024", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020157974"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.57.127", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023141648"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.57.127", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023141648"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/42/4/042003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023324449"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.78.405", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023472589"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.78.405", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023472589"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.76.025018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024651894"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.76.025018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024651894"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.54.1862", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025166503"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.54.1862", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025166503"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.3519379", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025537040"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.78.124022", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028781554"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.78.124022", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028781554"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/0295-5075/97/50006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029065501"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.82.026003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031102459"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.82.026003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031102459"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11128-013-0547-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033376177", 
              "https://doi.org/10.1007/s11128-013-0547-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/07/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036421354", 
              "https://doi.org/10.1088/1126-6708/2009/07/003"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/07/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036421354", 
              "https://doi.org/10.1088/1126-6708/2009/07/003"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036425864", 
              "https://doi.org/10.1007/jhep01(2010)038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036425864", 
              "https://doi.org/10.1007/jhep01(2010)038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf03024601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039097670", 
              "https://doi.org/10.1007/bf03024601"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/29/22/224008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042885652"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10714-009-0870-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046232335", 
              "https://doi.org/10.1007/s10714-009-0870-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10714-009-0870-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046232335", 
              "https://doi.org/10.1007/s10714-009-0870-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0021-8693(81)90241-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047721730"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/45/29/295304", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049097529"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02412849", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049931992", 
              "https://doi.org/10.1007/bf02412849"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02412849", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049931992", 
              "https://doi.org/10.1007/bf02412849"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1515/advgeom.2007.004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050256712"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/43/12/125303", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051763508"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/43/12/125303", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051763508"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/10586458.2005.10128922", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052388015"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0195-6698(13)80024-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052667669"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0021-8693(03)00115-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053373278"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0021-8693(03)00115-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053373278"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1665681", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057743760"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1705200", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057774866"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.65.3373", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060801792"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.65.3373", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060801792"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.65.803", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060839301"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/revmodphys.65.803", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060839301"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/0295-5075/86/60005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064232547"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/0295-5075/86/60005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064232547"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3842/sigma.2009.096", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071451971"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3842/sigma.2012.083", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071452288"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4171/rmi/486", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072320797"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2013-09", 
        "datePublishedReg": "2013-09-01", 
        "description": "We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four -qubit ones. After labeling the elements of the former set in terms of a seven-dimensional Clifford algebra, we present the bijective map and most pronounced actions of the associated symplectic group on both sets in explicit forms. This formalism is then employed to shed novel light on recently-discovered structural and cardinality properties of an aggregate of three-qubit Mermin\u2019s \u201cmagic\u201d pentagrams. Moreover, some intriguing connections with the so-called black-hole-qubit correspondence are also pointed out.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep09(2013)037", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "9", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2013"
          }
        ], 
        "name": "Grassmannian connection between three- and four-qubit observables, Mermin\u2019s contextuality and black holes", 
        "pagination": "37", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "4bed081a0c0c5493233f672244280b05e9bdc8134dcc1377e3b8d2045742f362"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep09(2013)037"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1015934554"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep09(2013)037", 
          "https://app.dimensions.ai/details/publication/pub.1015934554"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T19:08", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8678_00000511.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2FJHEP09%282013%29037"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2013)037'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2013)037'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2013)037'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2013)037'


     

    This table displays all metadata directly associated to this object as RDF triples.

    227 TRIPLES      21 PREDICATES      72 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep09(2013)037 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N041184eb7be841ee8447db1aab78bf87
    4 schema:citation sg:pub.10.1007/978-0-8176-4771-1
    5 sg:pub.10.1007/bf01217967
    6 sg:pub.10.1007/bf02412849
    7 sg:pub.10.1007/bf03024601
    8 sg:pub.10.1007/jhep01(2010)038
    9 sg:pub.10.1007/s00006-004-0014-4
    10 sg:pub.10.1007/s002200050038
    11 sg:pub.10.1007/s10623-007-9107-0
    12 sg:pub.10.1007/s10714-009-0870-2
    13 sg:pub.10.1007/s11128-013-0547-3
    14 sg:pub.10.1023/a:1004961421891
    15 sg:pub.10.1088/1126-6708/2009/07/003
    16 https://app.dimensions.ai/details/publication/pub.1016648113
    17 https://doi.org/10.1006/jabr.1995.1092
    18 https://doi.org/10.1016/0021-8693(81)90241-6
    19 https://doi.org/10.1016/j.jalgebra.2006.04.029
    20 https://doi.org/10.1016/s0012-365x(98)00294-5
    21 https://doi.org/10.1016/s0021-8693(03)00115-7
    22 https://doi.org/10.1016/s0195-6698(13)80024-8
    23 https://doi.org/10.1016/s0370-1573(99)00004-6
    24 https://doi.org/10.1063/1.1665681
    25 https://doi.org/10.1063/1.1705200
    26 https://doi.org/10.1063/1.3519379
    27 https://doi.org/10.1080/10586458.2005.10128922
    28 https://doi.org/10.1088/0264-9381/29/22/224008
    29 https://doi.org/10.1088/1751-8113/42/4/042003
    30 https://doi.org/10.1088/1751-8113/43/12/125303
    31 https://doi.org/10.1088/1751-8113/45/29/295304
    32 https://doi.org/10.1103/physreva.54.1862
    33 https://doi.org/10.1103/physreva.57.127
    34 https://doi.org/10.1103/physreva.62.062314
    35 https://doi.org/10.1103/physrevd.75.024024
    36 https://doi.org/10.1103/physrevd.76.025018
    37 https://doi.org/10.1103/physrevd.78.124022
    38 https://doi.org/10.1103/physrevd.79.084036
    39 https://doi.org/10.1103/physrevd.82.026003
    40 https://doi.org/10.1103/physrevlett.65.3373
    41 https://doi.org/10.1103/physrevlett.78.405
    42 https://doi.org/10.1103/revmodphys.65.803
    43 https://doi.org/10.1209/0295-5075/86/60005
    44 https://doi.org/10.1209/0295-5075/97/50006
    45 https://doi.org/10.1515/advgeom.2007.004
    46 https://doi.org/10.3842/sigma.2009.096
    47 https://doi.org/10.3842/sigma.2012.083
    48 https://doi.org/10.4171/rmi/486
    49 schema:datePublished 2013-09
    50 schema:datePublishedReg 2013-09-01
    51 schema:description We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four -qubit ones. After labeling the elements of the former set in terms of a seven-dimensional Clifford algebra, we present the bijective map and most pronounced actions of the associated symplectic group on both sets in explicit forms. This formalism is then employed to shed novel light on recently-discovered structural and cardinality properties of an aggregate of three-qubit Mermin’s “magic” pentagrams. Moreover, some intriguing connections with the so-called black-hole-qubit correspondence are also pointed out.
    52 schema:genre research_article
    53 schema:inLanguage en
    54 schema:isAccessibleForFree true
    55 schema:isPartOf N029b6deee87e4b0cbd5e2e7679958057
    56 Nfdd12686b50946b481a56dcdb68264c0
    57 sg:journal.1052482
    58 schema:name Grassmannian connection between three- and four-qubit observables, Mermin’s contextuality and black holes
    59 schema:pagination 37
    60 schema:productId N1d2da461dc9848fe81f7b492b274fb03
    61 Naf19fc19a18440e9a6b2eac6e695a869
    62 Ncdc4210da9b84c1c8927bee9a7f61685
    63 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015934554
    64 https://doi.org/10.1007/jhep09(2013)037
    65 schema:sdDatePublished 2019-04-10T19:08
    66 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    67 schema:sdPublisher Nf0599d847b7349708792f69e7d0be169
    68 schema:url http://link.springer.com/10.1007%2FJHEP09%282013%29037
    69 sgo:license sg:explorer/license/
    70 sgo:sdDataset articles
    71 rdf:type schema:ScholarlyArticle
    72 N029b6deee87e4b0cbd5e2e7679958057 schema:volumeNumber 2013
    73 rdf:type schema:PublicationVolume
    74 N041184eb7be841ee8447db1aab78bf87 rdf:first sg:person.014267404472.92
    75 rdf:rest N7a9d79c3b6524c24a243d61b12ed9fbd
    76 N1d2da461dc9848fe81f7b492b274fb03 schema:name doi
    77 schema:value 10.1007/jhep09(2013)037
    78 rdf:type schema:PropertyValue
    79 N7a9d79c3b6524c24a243d61b12ed9fbd rdf:first sg:person.016076407625.27
    80 rdf:rest Ncd35479cfb264fe589198e002bc837b3
    81 Naf19fc19a18440e9a6b2eac6e695a869 schema:name dimensions_id
    82 schema:value pub.1015934554
    83 rdf:type schema:PropertyValue
    84 Ncd35479cfb264fe589198e002bc837b3 rdf:first sg:person.015610617470.96
    85 rdf:rest rdf:nil
    86 Ncdc4210da9b84c1c8927bee9a7f61685 schema:name readcube_id
    87 schema:value 4bed081a0c0c5493233f672244280b05e9bdc8134dcc1377e3b8d2045742f362
    88 rdf:type schema:PropertyValue
    89 Nf0599d847b7349708792f69e7d0be169 schema:name Springer Nature - SN SciGraph project
    90 rdf:type schema:Organization
    91 Nfdd12686b50946b481a56dcdb68264c0 schema:issueNumber 9
    92 rdf:type schema:PublicationIssue
    93 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    94 schema:name Mathematical Sciences
    95 rdf:type schema:DefinedTerm
    96 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    97 schema:name Pure Mathematics
    98 rdf:type schema:DefinedTerm
    99 sg:journal.1052482 schema:issn 1029-8479
    100 1126-6708
    101 schema:name Journal of High Energy Physics
    102 rdf:type schema:Periodical
    103 sg:person.014267404472.92 schema:affiliation https://www.grid.ac/institutes/grid.6759.d
    104 schema:familyName Lévay
    105 schema:givenName Péter
    106 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014267404472.92
    107 rdf:type schema:Person
    108 sg:person.015610617470.96 schema:affiliation https://www.grid.ac/institutes/grid.493212.f
    109 schema:familyName Saniga
    110 schema:givenName Metod
    111 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015610617470.96
    112 rdf:type schema:Person
    113 sg:person.016076407625.27 schema:affiliation https://www.grid.ac/institutes/grid.462068.e
    114 schema:familyName Planat
    115 schema:givenName Michel
    116 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016076407625.27
    117 rdf:type schema:Person
    118 sg:pub.10.1007/978-0-8176-4771-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016648113
    119 https://doi.org/10.1007/978-0-8176-4771-1
    120 rdf:type schema:CreativeWork
    121 sg:pub.10.1007/bf01217967 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019852825
    122 https://doi.org/10.1007/bf01217967
    123 rdf:type schema:CreativeWork
    124 sg:pub.10.1007/bf02412849 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049931992
    125 https://doi.org/10.1007/bf02412849
    126 rdf:type schema:CreativeWork
    127 sg:pub.10.1007/bf03024601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039097670
    128 https://doi.org/10.1007/bf03024601
    129 rdf:type schema:CreativeWork
    130 sg:pub.10.1007/jhep01(2010)038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036425864
    131 https://doi.org/10.1007/jhep01(2010)038
    132 rdf:type schema:CreativeWork
    133 sg:pub.10.1007/s00006-004-0014-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002839464
    134 https://doi.org/10.1007/s00006-004-0014-4
    135 rdf:type schema:CreativeWork
    136 sg:pub.10.1007/s002200050038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000190308
    137 https://doi.org/10.1007/s002200050038
    138 rdf:type schema:CreativeWork
    139 sg:pub.10.1007/s10623-007-9107-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002089720
    140 https://doi.org/10.1007/s10623-007-9107-0
    141 rdf:type schema:CreativeWork
    142 sg:pub.10.1007/s10714-009-0870-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046232335
    143 https://doi.org/10.1007/s10714-009-0870-2
    144 rdf:type schema:CreativeWork
    145 sg:pub.10.1007/s11128-013-0547-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033376177
    146 https://doi.org/10.1007/s11128-013-0547-3
    147 rdf:type schema:CreativeWork
    148 sg:pub.10.1023/a:1004961421891 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002974078
    149 https://doi.org/10.1023/a:1004961421891
    150 rdf:type schema:CreativeWork
    151 sg:pub.10.1088/1126-6708/2009/07/003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036421354
    152 https://doi.org/10.1088/1126-6708/2009/07/003
    153 rdf:type schema:CreativeWork
    154 https://app.dimensions.ai/details/publication/pub.1016648113 schema:CreativeWork
    155 https://doi.org/10.1006/jabr.1995.1092 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004844362
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1016/0021-8693(81)90241-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047721730
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1016/j.jalgebra.2006.04.029 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018582038
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1016/s0012-365x(98)00294-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006238004
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.1016/s0021-8693(03)00115-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053373278
    164 rdf:type schema:CreativeWork
    165 https://doi.org/10.1016/s0195-6698(13)80024-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052667669
    166 rdf:type schema:CreativeWork
    167 https://doi.org/10.1016/s0370-1573(99)00004-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017028698
    168 rdf:type schema:CreativeWork
    169 https://doi.org/10.1063/1.1665681 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057743760
    170 rdf:type schema:CreativeWork
    171 https://doi.org/10.1063/1.1705200 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057774866
    172 rdf:type schema:CreativeWork
    173 https://doi.org/10.1063/1.3519379 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025537040
    174 rdf:type schema:CreativeWork
    175 https://doi.org/10.1080/10586458.2005.10128922 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052388015
    176 rdf:type schema:CreativeWork
    177 https://doi.org/10.1088/0264-9381/29/22/224008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042885652
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1088/1751-8113/42/4/042003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023324449
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1088/1751-8113/43/12/125303 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051763508
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.1088/1751-8113/45/29/295304 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049097529
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.1103/physreva.54.1862 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025166503
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.1103/physreva.57.127 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023141648
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.1103/physreva.62.062314 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009437204
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.1103/physrevd.75.024024 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020157974
    192 rdf:type schema:CreativeWork
    193 https://doi.org/10.1103/physrevd.76.025018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024651894
    194 rdf:type schema:CreativeWork
    195 https://doi.org/10.1103/physrevd.78.124022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028781554
    196 rdf:type schema:CreativeWork
    197 https://doi.org/10.1103/physrevd.79.084036 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011459346
    198 rdf:type schema:CreativeWork
    199 https://doi.org/10.1103/physrevd.82.026003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031102459
    200 rdf:type schema:CreativeWork
    201 https://doi.org/10.1103/physrevlett.65.3373 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060801792
    202 rdf:type schema:CreativeWork
    203 https://doi.org/10.1103/physrevlett.78.405 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023472589
    204 rdf:type schema:CreativeWork
    205 https://doi.org/10.1103/revmodphys.65.803 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060839301
    206 rdf:type schema:CreativeWork
    207 https://doi.org/10.1209/0295-5075/86/60005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064232547
    208 rdf:type schema:CreativeWork
    209 https://doi.org/10.1209/0295-5075/97/50006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029065501
    210 rdf:type schema:CreativeWork
    211 https://doi.org/10.1515/advgeom.2007.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050256712
    212 rdf:type schema:CreativeWork
    213 https://doi.org/10.3842/sigma.2009.096 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071451971
    214 rdf:type schema:CreativeWork
    215 https://doi.org/10.3842/sigma.2012.083 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071452288
    216 rdf:type schema:CreativeWork
    217 https://doi.org/10.4171/rmi/486 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072320797
    218 rdf:type schema:CreativeWork
    219 https://www.grid.ac/institutes/grid.462068.e schema:alternateName Franche Comté Électronique Mécanique Thermique et Optique Sciences et Technologies
    220 schema:name Institut FEMTO-ST, CNRS, 32 Avenue de l’Observatorie, F-25044, Besançon, France
    221 rdf:type schema:Organization
    222 https://www.grid.ac/institutes/grid.493212.f schema:alternateName Astronomical Institute
    223 schema:name Astronomical Institute, Slovak Academy of Sciences, SK-05960, Tatranská Lomnica, Slovak Republic
    224 rdf:type schema:Organization
    225 https://www.grid.ac/institutes/grid.6759.d schema:alternateName Budapest University of Technology and Economics
    226 schema:name Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1521, Budapest, Hungary
    227 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...