113 citations · 374 across the 71 of their papers we have counts for
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Polyander visualization of quantum walks
Steven Duplij, Raimund Vogl
We investigate quantum walks which play an important role in the modelling of many phenomena. The detailed and thorough description is given to the discrete quantum walks on a line…
On superqubits
Steven Duplij, Raimund Vogl
We first reconsider the mathematical background of superqubit theory and describe important peculiarities of superspaces and supermatrices which are usually out of attention. Then…
Polyadic braid operators and higher braiding gates
Steven Duplij, Raimund Vogl
Higher braiding gates, a new kind of quantum gate, are introduced. These are matrix solutions of the polyadic braid equations (which differ from the generalized Yang-Baxter equatio…
Obscure qubits and membership amplitudes
Steven Duplij, Raimund Vogl
We propose a concept of quantum computing which incorporates an additional kind of uncertainty, i.e. vagueness (fuzziness), in a natural way by introducing new entities, obscure qu…
Quantum Computations: Fundamentals And Algorithms
Steven Duplij, Illia Shapoval
Basic concepts of quantum theory of information, principles of quantum calculations and the possibility of creation on this basis unique on calculation power and functioning princi…