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Article Dans Une Revue Journal of computational science Année : 2022

Multi-qubit doilies: Enumeration for all ranks and classification for ranks four and five

Résumé

For N ≥ 2, an N-qubit doily is a doily living in the N-qubit symplectic polar space. These doilies are related to operator-based proofs of quantum contextuality. Following and extending the strategy of Saniga et al. (Mathematics 9 (2021) 2272) that focused exclusively on three-qubit doilies, we first bring forth several formulas giving the number of both linear and quadratic doilies for any N > 2. Then we present an effective algorithm for the generation of all N-qubit doilies. Using this algorithm for N = 4 and N = 5, we provide a classification of N-qubit doilies in terms of types of observables they feature and number of negative lines they are endowed with. We also list several distinguished findings about N-qubit doilies that are absent in the three-qubit case, point out a couple of specific features exhibited by linear doilies and outline some prospective extensions of our approach.
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Dates et versions

hal-03874438 , version 1 (28-11-2022)

Identifiants

Citer

Axel Muller, Metod Saniga, Alain Giorgetti, Henri de Boutray, Frédéric Holweck. Multi-qubit doilies: Enumeration for all ranks and classification for ranks four and five. Journal of computational science, 2022, 64, pp.101853 (18). ⟨10.1016/j.jocs.2022.101853⟩. ⟨hal-03874438⟩
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