Non-Kochen–Specker Contextuality

Quantum contextuality supports quantum computation and communication. One of its main vehicles is hypergraphs. The most elaborated are the Kochen-Specker ones, but there also another class contextual sets that not this kind. Their representation has been mostly operator-based limited to special constructs in three- six-dim spaces, a notable example which Yu-Oh set. Previously, we showed hypergraphs underlie all them, paper, give general methods - whose complexity does scale up with dimension for generating such non-Kochen-Specker any examples 16-dim spaces. Our automated generation probabilistic random, statistics accumulated data enable one filter out required size structure.