activity
20002026
most citedMutually Unbiased Bases and Finite Projective Planes

84 citations · 962 across the 88 of their papers we have counts for

collaborators
Showing 2012Show all

5 papers · 1 filter

math-ph2012★ 22 cited

Distinguished three-qubit 'magicity' via automorphisms of the split Cayley hexagon

Michel Planat, Metod Saniga, Frederic Holweck

Disregarding the identity, the remaining 63 elements of the generalized three-qubit Pauli group are found to contain 12096 distinct copies of Mermin's magic pentagram. Remarkably,…

math-ph2012★ 4 cited

'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon

Metod Saniga, Michel Planat, Petr Pracna +1

Recently Waegell and Aravind [J. Phys. A: Math. Theor. 45 (2012), 405301, 13 pages] have given a number of distinct sets of three-qubit observables, each furnishing a proof of the…

quant-ph2012★ 12 cited

Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry

Michel Planat, Metod Saniga

Employing five commuting sets of five-qubit observables, we propose specific 160-661 and 160-21 state proofs of the Bell-Kochen-Specker theorem that are also proofs of Bell's theor…

quant-ph2012

Finite Geometry Behind the Harvey-Chryssanthacopoulos Four-Qubit Magic Rectangle

Metod Saniga, Michel Planat

A "magic rectangle" of eleven observables of four qubits, employed by Harvey and Chryssanthacopoulos (2008) to prove the Bell-Kochen-Specker theorem in a 16-dimensional Hilbert spa…

math-ph2012★ 3 cited

Charting the Real Four-Qubit Pauli Group via Ovoids of a Hyperbolic Quadric of PG(7,2)

Metod Saniga, Peter Levay, Petr Pracna

The geometry of the real four-qubit Pauli group, being embodied in the structure of the symplectic polar space W(7,2), is analyzed in terms of ovoids of a hyperbolic quadric of PG(…