The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing the basic facts… (More)

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, W2N−1(2). The operators… (More)

A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of N -qudits is performed in which vertices/points correspond to… (More)

It is conjectured that the question of the existence of a set of d + 1 mutually unbiased bases in a ddimensional Hilbert space if d differs from a power of prime is intimatelly linked with the… (More)

Given a remarkable representation of the generalized Pauli operators of twoqubits in terms of the points of the generalized quadrangle of order two, W (2), it is shown that specific subsets of these… (More)

A very particular connection between the commutation relations of the elements of the generalized Pauli group of a d-dimensional qudit, d being a product of distinct primes, and the structure of the… (More)

Ramanujan sums are exponential sums with exponent defined over the irreducible fractions. Until now, they have been used to provide converging expansions to some arithmetical functions appearing in… (More)

Given a finite associative ring with unity, R, any free (left) cyclic submodule (FCS) generated by a unimodular (n + 1)-tuple of elements of R represents a point of the n-dimensional projective space… (More)

As a continuation of our previous work (J. Phys.A:Math.Theor. 40 (2007) F929 and/or arXiv:0708.4333) an algebraic geometrical study of a single d-dimensional qudit is made, with d being any positive… (More)

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 space, is given a neat… (More)