84 citations · 970 across the 84 of their papers we have counts for
6 papers · 2 filters
Projective Ring Line Encompassing Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna
The projective line over the (non-commutative) ring of two-by-two matrices with coefficients in GF(2) is found to fully accommodate the algebra of 15 operators - generalized Pauli…
Multiple Qubits as Symplectic Polar Spaces of Order Two
Metod Saniga, Michel Planat
It is surmised that the algebra of the Pauli operators on the Hilbert space of N-qubits is embodied in the geometry of the symplectic polar space of rank N and order two, W_{2N - 1…
Quantum Entanglement and Projective Ring Geometry
Michel R. P. Planat, Metod Saniga, Maurice R. Kibler
The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing t…
The Projective Line Over the Finite Quotient Ring GF(2)[]/ and Quantum Entanglement II. The Mermin "Magic" Square/Pentagram
Metod Saniga, Michel Planat, Milan Minarovjech
In 1993, Mermin (Rev. Mod. Phys. 65, 803--815) gave lucid and strikingly simple proofs of the Bell-Kochen-Specker (BKS) theorem in Hilbert spaces of dimensions four and eight by ma…
The Projective Line Over the Finite Quotient Ring GF(2)[]/ and Quantum Entanglement I. Theoretical Background
Metod Saniga, Michel Planat
The paper deals with the projective line over the finite factor ring GF(2)[]/. The line is endowed with 18 points, spanning the neighbourhoo…
A SU(2) recipe for mutually unbiased bases
M. R. Kibler, M. Planat
A simple recipe for generating a complete set of mutually unbiased bases in dimension (2j+1)**e, with 2j + 1 prime and e positive integer, is developed from a single matrix acting…