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• W3144446336 abstract "As quantum contextuality proves to be a necessary resource for universal quantum computation, we present a general method for vector generation of Kochen-Specker (KS) contextual sets in the form of hypergraphs. The method supersedes all three previous methods: (i) fortuitous discoveries of smallest KS sets, (ii) exhaustive upward hypergraph-generation of sets, and (iii) random downward generation of sets from fortuitously obtained big master sets. In contrast to previous works, we can generate master sets which contain all possible KS sets starting with nothing but a few simple vector components. From them we can readily generate all KS sets obtained in the last half a century and any specified new KS sets. Herewith we can generate sufficiently large sets as well as sets with definite required features and structures to enable varieties of different implementations in quantum computation and communication." @default.
• W3144446336 created "2021-04-13" @default.
• W3144446336 creator A5002426804 @default.
• W3144446336 creator A5085154341 @default.
• W3144446336 date "2019-01-01" @default.
• W3144446336 modified "2023-10-16" @default.
• W3144446336 title "Vector generation of contextual sets" @default.
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• W3144446336 doi "https://doi.org/10.1051/epjconf/201919800009" @default.
• W3144446336 hasPublicationYear "2019" @default.
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