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Communication Dans Un Congrès Année : 2022

Computer-assisted enumeration and classification of multi-qubit doilies

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 [SdBHG21] 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. 
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Dates et versions

hal-03932840 , version 1 (10-01-2023)

Identifiants

  • HAL Id : hal-03932840 , version 1

Citer

Axel Muller, Metod Saniga, Alain Giorgetti, Henri de Boutray, Frédéric Holweck. Computer-assisted enumeration and classification of multi-qubit doilies. Journées Informatique Quantique (JIQ'22), Nov 2022, Paris, France. ⟨hal-03932840⟩
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