Search for dissertations about: "Andrei Khrennikov"

Showing result 6 - 10 of 12 swedish dissertations containing the words Andrei Khrennikov.

2. 6. Representation of Quantum Algorithms with Symbolic Language and Simulation on Classical Computer

   Author : Peter Nyman; Andrei khrennikov; Paul Fischer; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Deutsch-Josza algorithm; Grover s algorithm; Quantum computing; Quantum error-correcting; Shor s algorithm; Simon s algorithm; Simulation of quantum algorithms; Deutsch-Josza algoritm; Grovers algoritm; Kvantdatorer; kvantmekanisk felrättande kod; Shors algoritm; Simons algoritm; Simulering av kvantdatorer; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Abstract : Utvecklandet av kvantdatorn är ett ytterst lovande projekt som kombinerar teoretisk och experimental kvantfysik, matematik, teori om kvantinformation och datalogi. Under första steget i utvecklandet av kvantdatorn låg huvudintresset på att skapa några algoritmer med framtida tillämpningar, klargöra grundläggande frågor och utveckla en experimentell teknologi för en leksakskvantdator som verkar på några kvantbitar. READ MORE

4. 7. Algebraic Dynamical Systems, Analytical Results and Numerical Simulations

   Author : Robert Nyqvist; Andrei Khrennikov; Vladimir Anashin; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; discrete dynamical systems; p-adic numbers; finite fields; number of periodic points; Chebotarev s Density Theorem; computational number theory; MATHEMATICS; MATEMATIK;

   Abstract : In this thesis we study discrete dynamical system, given by a polynomial, over both finite extension of the fields of p-adic numbers and over finite fields. Especially in the p-adic case, we study fixed points of dynamical systems, and which elements that are attracted to them. We show with different examples how complex these dynamics are. READ MORE

5. 8. Infinite dimensional holomorphy in the ring of formal power series : partial differential operators

   Author : Henrik Petersson; Andrei Khrennikov; Sean Dineen; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Infinite dimensional holomorphy; Formal power series; Fourier-Borel transform; Paley-Wiener theorem; Fischer decomposition; Fischer pair; Fock space; Cauchy-Problem; Kergin operator; PDE-preserving; Pseudo-differential operators.; MATHEMATICS; MATEMATIK;

   Abstract : We study holomorphy in the ring of formal power series in an infinite number of variables. Thus we restrict our study to (infinite dimensional) holomorphy on sequence spaces and we show that we obtain a rich theory without requiring any topological structure on the domain space. We make a comprehensive PDO-study for the spaces under consideration. READ MORE

6. 9. Dynamical Systems in Local Fields of Characteristic Zero

   Author : Per-Anders Svensson; Andrei Yu. Khrennikov; Bertin Diarra; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; discrete dynamical systems; local fields; ramification; Krasner s Lemma; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Abstract : .... READ MORE

7. 10. Linking Probability Theory and Quantum Mechanics, and a Novel Formulation of Quantization

   Author : Fritiof Wallentin; Andrei Khrennikov; Kisil Vladimir; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; quantum mechanics; contextuality; probabilistic interpretation; Born’s rule; frequentist interpretation; unitary representations; classical statistical mechanics; Koopman-von Neumann formulation; hidden-variable model; quantization.; Matematik; Mathematics;

   Abstract : This doctoral thesis in mathematics consists of three articles that explore the probabilistic structure of quantum mechanics and quantization from a novel perspective.The thesis adopts a probabilistic interpretation of quantum mechanics, which views the archetypical quantum experiments of Bell- and double-slit- type as violating the principle of non-contextuality, i. READ MORE