# Taxonomy of Polar Subspaces of Multi-Qubit Symplectic Polar Spaces of Small Rank

@article{Saniga2021TaxonomyOP, title={Taxonomy of Polar Subspaces of Multi-Qubit Symplectic Polar Spaces of Small Rank}, author={Metod Saniga and Henri de Boutray and Fr{\'e}d{\'e}ric Holweck and Alain Giorgetti}, journal={Mathematics}, year={2021} }

We study certain physically-relevant subgeometries of binary symplectic polar spaces W(2N−1,2) of small rank N, when the points of these spaces canonically encode N-qubit observables. Key characteristics of a subspace of such a space W(2N−1,2) are: the number of its negative lines, the distribution of types of observables, the character of the geometric hyperplane the subspace shares with the distinguished (non-singular) quadric of W(2N−1,2) and the structure of its Veldkamp space. In…

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