Перегляд за автором "Saniga, M."

Сортувати за: Порядок: Результатів:

  • A Jacobson Radical Decomposition of the Fano-Snowflake Configuration 
    Saniga, M.; Pracna, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    The Fano-Snowflake, a specific configuration associated with the smallest ring of ternions Rà (arXiv:0803.4436 and arXiv:0806.3153), admits an interesting partitioning with respect to the Jacobson radical of Rà. The totality ...
  • A Notable Relation between n-Qubit and 2ⁿ⁻¹-Qubit Pauli Groups via Binary LGr(n,2n) 
    Holweck, F.; Saniga, M.; Lévay, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Employing the fact that the geometry of the n-qubit (n≥2) Pauli group is embodied in the structure of the symplectic polar space W(2n−1,2) and using properties of the Lagrangian Grassmannian LGr(n,2n) defined over the ...
  • Factor-Group-Generated Polar Spaces and (Multi-)Qudits 
    Havlicek, H.; Odehnal, B.; Saniga, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unifying framework for all these relations. We ...
  • 'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon 
    Saniga, M.; Planat, M.; Pracna, P.; Lévay, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    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 Kochen-Specker theorem. Here it is ...
  • Quantum Entanglement and Projective Ring Geometry 
    Planat, M.; Saniga, M.; Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    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 about quantum complementarity ...
  • The Veldkamp Space of Two-Qubits 
    Saniga, M.; Planat, M.; Pracna, P.; Havlicek, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it is shown that specific subsets of these operators can also be ...
  • Twin ''Fano-Snowflakes'' over the Smallest Ring of Ternions 
    Saniga, M.; Havlicek, H.; Planat, M.; Pracna, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    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 over R. Suppose that ...