82 citations · 494 across the 16 of their papers we have counts for
16 papers
Mermin pentagrams arising from Veldkamp lines for three qubits
Péter Lévay, Zsolt Szabó
We study the geometry of the space of Mermin pentagrams, objects that are used to rule out the existence of noncontextual hidden variable theories as alternatives to quantum theory…
Grassmannian Connection Between Three- and Four-Qubit Observables, Mermin's Contextuality and Black Holes
Peter Levay, Michel Planat, Metod Saniga
We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four-qubit ones. After labeling the elemen…
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(…
Invertible Symmetric 3 x 3 Binary Matrices and GQ(2,4)
Andrea Blunck, Peter Levay, Metod Saniga +1
We reveal an intriguing connection between the set of 27 (disregarding the identity) invertible symmetric 3 x 3 matrices over GF(2) and the points of the generalized quadrangle GQ(…
Balanced Tripartite Entanglement, the Alternating Group A4 and the Lie Algebra
Michel Planat, Peter Levay, Metod Saniga
We discuss three important classes of three-qubit entangled states and their encoding into quantum gates, finite groups and Lie algebras. States of the GHZ and W-type correspond to…
Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2, 2)
Metod Saniga, Peter Levay, Michel Planat +1
Having in mind their potential quantum physical applications, we classify all geometric hyperplanes of the near hexagon that is a direct product of a line of size three and the gen…