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string: "\n\n10.4230/LIPIcs.TQC.2013.93\n\n\nJohnston,
Nathaniel\n\n\n\n\tThe Minimum
Size of Qubit Unextendible Product Bases\n\nSchloss
Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany\n2013\n\n\tComputer
Science\n\t000 Computer science,
knowledge, general works\n\n\n\t\n\t\tHerbstritt, Marc\n\t\n\n\n\t2013-11-05\n\neng\nConferencePaper\n\n\t13
pages\n\n\n\tapplication/pdf\n\n1.0\nCreative
Commons Attribution 3.0 Unported license (CC-BY 3.0)\n\n\t\n\tWe 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.\n\t\n\n\n"
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