6533b86dfe1ef96bd12ca5be
RESEARCH PRODUCT
Computer-assisted enumeration and classification of multi-qubit doilies
Axel MullerMetod SanigaAlain GiorgettiHenri De BoutrayFrédéric Holwecksubject
[INFO.INFO-ET] Computer Science [cs]/Emerging Technologies [cs.ET][INFO.INFO-SE] Computer Science [cs]/Software Engineering [cs.SE][INFO.INFO-DC] Computer Science [cs]/Distributed Parallel and Cluster Computing [cs.DC][INFO.INFO-IU] Computer Science [cs]/Ubiquitous Computing[INFO.INFO-MA] Computer Science [cs]/Multiagent Systems [cs.MA][INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation[INFO.INFO-CR] Computer Science [cs]/Cryptography and Security [cs.CR]description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |