A further look into combinatorial orthogonality

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dc.creatorSeverini, Simone
dc.creatorSzöllősi, Ferenc
dc.date2007-09-23
dc.date2008-07-16
dc.date.accessioned2026-07-07T09:50:34Z
dc.date.available2026-07-07T09:50:34Z
dc.descriptionStrongly quadrangular matrices have been introduced in the study of the combinatorial properties of unitary matrices. It is known that if a (0, 1)-matrix supports a unitary then it is strongly quadrangular. However, the converse is not necessarily true. In this paper, we fully classify strongly quadrangular matrices up to degree 5. We prove that the smallest strongly quadrangular matrices which do not support unitaries have exactly degree 5. Further, we isolate two submatrices not allowing a (0, 1)-matrix to support unitaries.
dc.description11 pages, some typos are corrected. To appear in The Electronic journal of Linear Algebra
dc.identifierhttps://arxiv.org/abs/0709.3651
dc.identifierhttp://arxiv.org/abs/0709.3651
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164983
dc.subjectCombinatorics
dc.subjectQuantum Physics
dc.subject05B20
dc.titleA further look into combinatorial orthogonality
dc.typetext

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