Search for dissertations about: "Andrei Khrennikov"

Showing result 1 - 5 of 11 swedish dissertations containing the words Andrei Khrennikov.

  1. 1. On relations between classical and quantum theories of information and probability

    Author : Peter Nyman; Andrei Khrennikov; Sergei Kozyrev; Linnéuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Born’s rule; Clifford algebra; Deutsch-Josza algorithm; Grover’s algorithm; Hyperbolic interferences; Inverse Born’s rule problem; Probabilistic data; Quantum computing; Quantum error-correcting; Quantum-like representation algorithm; Shor’s algorithm; Simon’s algorithm; Simulation of quantum algorithms; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : In this thesis we study quantum-like representation and simulation of quantum algorithms by using classical computers.The quantum--like representation algorithm (QLRA) was  introduced by A. Khrennikov (1997) to solve the ``inverse Born's rule problem'', i.e. READ MORE

  2. 2. Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices

    Author : Serge de Gosson de Varennes; Andrei Khrennikov; Ernst Binz; Växjö universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Symplectic geometry; algebraic topology; mathematical physics; Maslov index; Conley-Zehnder index; Leray index path intersection indices.; MATHEMATICS; MATEMATIK;

    Abstract : Symplectic geometry can be traced back to Lagrange and his work on celestial mechanics and has since then been a very active field in mathematics, partly because of the applications it offers but also because of the beauty of the objects it deals with.I this thesis we begin by the simplest fact of symplectic geometry. READ MORE

  3. 3. Quantum paradoxes, probability theory, and change of ensemble

    Author : Jan-Åke Larsson; Andrei Khrennikov; Linköpings universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis, the question "What kind of models can be used to describe microcosmos?" will be discussed. Being difficult and very large in scope, the question has here been restricted to whether or not Local Realistic models can be used to describe Quantum-Mechanical processes, one of a collection of questions often referred to as Quantum Paradoxes. READ MORE

  4. 4. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point

    Author : Karl-Olof Lindahl; Andrei Khrennikov; Franco Vivaldi; Växjö universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; dynamical system; linearization; conjugation; non-Archimedean field; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; Matematik;

    Abstract : We consider the problem of local linearization of power series defined over complete valued fields. The complex field case has been studied since the end of the nineteenth century, and renders a delicate number theoretical problem of small divisors related to diophantine approximation. READ MORE

  5. 5. Monomial Dynamical Systems in the Fields of p-adic Numbers and Their Finite Extensions

    Author : Marcus Nilsson; Andrei Khrennikov; Bertin Diarra; Växjö universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; p-adic numbers; discrete dynamical systems; number of cycles; perturbation; roots of unity; Möbius inversion; distribution of prime numbers; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : .... READ MORE