{
"id": "https://doi.org/10.4230/lipics.tqc.2013.93",
"type": "ProceedingsArticle",
"additional_descriptions": [
{
"description": "LIPIcs, Vol. 22, 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013), pages 93-105",
"type": "Other",
"language": "en"
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],
"container": {
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"title": "LIPIcs, Volume 22, TQC 2013",
"first_page": "93",
"last_page": "105",
"volume": "22",
"identifiers": [
{
"identifier": "https://doi.org/10.4230/lipics.tqc.2013",
"identifier_type": "DOI"
}
]
},
"contributors": [
{
"type": "Person",
"person": {
"given_name": "Nathaniel",
"family_name": "Johnston"
},
"roles": [
"Author"
]
},
{
"type": "Person",
"person": {
"given_name": "Simone",
"family_name": "Severini"
},
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"Editor"
]
},
{
"type": "Person",
"person": {
"given_name": "Fernando",
"family_name": "Brandao"
},
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"Editor"
]
}
],
"date_published": "2013",
"dates": {
"created": "2013-11-13",
"available": "2013-11-13"
},
"description": "We investigate the problem of constructing unextendible product bases in the qubit case - that is, when each local dimension equals 2. The cardinality of the smallest unextendible product basis is known in all qubit cases except when the number of parties is a multiple of 4 greater than 4 itself. We construct small unextendible product bases in all of the remaining open cases, and we use graph theory techniques to produce a computer-assisted proof that our constructions are indeed the smallest possible.",
"identifiers": [
{
"identifier": "urn:nbn:de:0030-drops-43173",
"identifier_type": "URN"
}
],
"language": "en",
"license": {
"id": "CC-BY-3.0",
"title": "Creative Commons Attribution 3.0 Unported",
"url": "https://creativecommons.org/licenses/by/3.0/legalcode"
},
"provider": "DataCite",
"publisher": {
"name": "Schloss Dagstuhl – Leibniz-Zentrum für Informatik"
},
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"id": "urn:isbn:9783939897552",
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"schema_version": "https://commonmeta.org/commonmeta_v1.0.json",
"subjects": [
{
"subject": "unextendible product basis; quantum entanglement; graph factorization"
}
],
"title": "The Minimum Size of Qubit Unextendible Product Bases",
"url": "https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2013.93"
}