84 citations · 970 across the 84 of their papers we have counts for
18 papers · 1 filter
Singularity of type arising from four qubit systems
Frédéric Holweck, Jean-Gabriel Luque, Michel Planat
An intriguing correspondence between four-qubit systems and simple singularity of type is established. We first consider an algebraic variety of separable states within t…
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…
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,…
'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…
Pauli graphs, Riemann hypothesis, Goldbach pairs
Michel Planat, Fabio Anselmi, Patrick Solé
Let consider the Pauli group with unitary quantum generators (shift) and (clock) acting on the vectors of the -dimensional Hilbert space via $X|s>…
Riemann hypothesis and Quantum Mechanics
Michel Planat, Patrick Solé, Sami Omar
In their 1995 paper, Jean-Benoît Bost and Alain Connes (BC) constructed a quantum dynamical system whose partition function is the Riemann zeta function , where is an inv…