publication . Preprint . Article . 2011

Probabilistic Generation of Quantum Contextual Sets

Norman D. Megill; Krešimir Fresl; Mordecai Waegell; P.K. Aravind; Mladen Pavičić;
Open Access English
  • Published: 09 May 2011
Abstract
We give a method for exhaustive generation of a huge number of Kochen-Specker contextual sets, based on the 600-cell, for possible experiments and quantum gates. The method is complementary to our previous parity proof generation of these sets, and it gives all sets while the parity proof method gives only sets with an odd number of edges in their hypergraph representation. Thus we obtain 35 new kinds of critical KS sets with an even number of edges. Using a random sample of the sets generated with our method, we give a statistical estimate of the number of sets that might be obtained in an eventual exhaustive enumeration.
Subjects
free text keywords: Quantum Physics, General Physics and Astronomy, Quantum, Discrete mathematics, Physics, Quantum mechanics, Quantum gate, Parity (mathematics), Hypergraph, Constraint graph, Probabilistic logic, Enumeration, 600-cell
Funded by
MZOS| Quantum Computation: Parallelism and Visualization
Project
  • Funder: Ministry of Science, Education and Sports of the Republic of Croatia (MSES) (MZOS)
  • Project Code: 082-0982562-3160
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publication . Preprint . Article . 2011

Probabilistic Generation of Quantum Contextual Sets

Norman D. Megill; Krešimir Fresl; Mordecai Waegell; P.K. Aravind; Mladen Pavičić;