84 citations · 962 across the 88 of their papers we have counts for
9 papers · 1 filter
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…
A Classification of the Projective Lines over Small Rings II. Non-Commutative Case
Metod Saniga, Michel Planat, Petr Pracna
A list of different types of a projective line over non-commutative rings with unity of order up to thirty-one inclusive is given. Eight different types of such a line are found. W…
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…
A Classification of the Projective Lines over Small Rings
Metod Saniga, Michel Planat, Maurice Kibler +1
A compact classification of the projective lines defined over (commutative) rings (with unity) of all orders up to thirty-one is given. There are altogether sixty-five different ty…
On the Fine Structure of the Projective Line Over GF(2) x GF(2) x GF(2)
Metod Saniga, Michel Planat
The paper gives a succinct appraisal of the properties of the projective line defined over the direct product ring GF(2)$\otimesGF(2)\otimes$GF(2). The ring…