activity
20002026
most citedMutually Unbiased Bases and Finite Projective Planes

84 citations · 962 across the 88 of their papers we have counts for

collaborators
Showing 2008Show all

6 papers · 1 filter

math-ph2008★ 32 cited

Ramanujan sums analysis of long-period sequences and 1/f noise

Michel Planat, Milan Minarovjech, Metod Saniga

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 funct…

quant-ph2008★ 64 cited

Three-Qubit Operators, the Split Cayley Hexagon of Order Two and Black Holes

Peter Levay, Metod Saniga, Peter Vrana

The set of 63 real generalized Pauli matrices of three-qubits can be factored into two subsets of 35 symmetric and 28 antisymmetric elements. This splitting is shown to be complete…

math-ph2008★ 3 cited

Space versus Time: Unimodular versus Non-Unimodular Projective Ring Geometries?

Metod Saniga, Petr Pracna

Finite projective (lattice) geometries defined over rings instead of fields have recently been recognized to be of great importance for quantum information theory. We believe that…

math-ph2008★ 2 cited

A Jacobson Radical Decomposition of the Fano-Snowflake Configuration

Metod Saniga, Petr Pracna

The Fano-Snowflake, a specific -unimodular projective lattice configuration associated with the smallest ring of ternions (arXiv:0803.4436 and 0806.3153), a…

math-ph2008★ 12 cited

Vectors, Cyclic Submodules and Projective Spaces Linked with Ternions

Hans Havlicek, Metod Saniga

Given a ring of ternions , i. e., a ring isomorphic to that of upper triangular matrices with entries from an arbitrary commutative field , a complete classificat…

math-ph2008★ 9 cited

Twin "Fano-Snowflakes" Over the Smallest Ring of Ternions

Metod Saniga, Hans Havlicek, Michel Planat +1

Given a finite associative ring with unity, , any free (left) cyclic submodule (FCS) generated by a modular ()-tuple of elements of represents a point of the -d…