44 citations · 633 across the 77 of their papers we have counts for
7 papers · 1 filter
Completing bases in four dimensions
Hans Havlicek, Karl Svozil
Criteria and constructive methods for the completion of an incomplete basis of, or context in, a four-dimensional Hilbert space by (in)decomposable vectors are given.
Dimensional lifting through generalized Gram-Schmidt process
Hans Havlicek, Karl Svozil
A new way of orthogonalizing ensembles of vectors by "lifting" them to higher dimensions is introduced. This method can potentially be utilized for solving quantum decision and com…
Moebius Pairs of Simplices and Commuting Pauli Operators
Hans Havlicek, Boris Odehnal, Metod Saniga
There exists a large class of groups of operators acting on Hilbert spaces, where commutativity of group elements can be expressed in the geometric language of symplectic polar spa…
Projective Ring Line of an Arbitrary Single Qudit
Hans Havlicek, Metod Saniga
As a continuation of our previous work (arXiv:0708.4333) an algebraic geometrical study of a single -dimensional qudit is made, with being {\it any} positive integer. The st…
Projective Ring Line of a Specific Qudit
Hans Havlicek, Metod Saniga
A very particular connection between the commutation relations of the elements of the generalized Pauli group of a -dimensional qudit, being a product of distinct primes, an…
The Veldkamp Space of Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna +1
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 specifi…