A Symbolic Classical Computer Language for Simulation of Quantum Algorithms View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2009

AUTHORS

Peter Nyman

ABSTRACT

Quantum computing is an extremely promising research combining theoretical and experimental quantum physics, mathematics, quantum information theory and computer science. Classical simulation of quantum computations will cover part of the gap between the theoretical mathematical formulation of quantum mechanics and the realization of quantum computers. One of the most important problems in “quantum computer science” is the development of new symbolic languages for quantum computing and the adaptation of existing symbolic languages for classical computing to quantum algorithms. The present paper is devoted to the adaptation of the Mathematica symbolic language to known quantum algorithms and corresponding simulation on the classical computer. Concretely we shall represent in the Mathematica symbolic language Simon’s algorithm, the Deutsch-Josza algorithm, Grover’s algorithm, Shor’s algorithm and quantum error-correcting codes. We shall see that the same framework can be used for all these algorithms. This framework will contain the characteristic property of the symbolic language representation of quantum computing and it will be a straightforward matter to include this framework in future algorithms. More... »

PAGES

158-173

References to SciGraph publications

  • 2003-08. Toward an architecture for quantum programming in THE EUROPEAN PHYSICAL JOURNAL D
  • 2005-07. Classical Concepts in Quantum Programming in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1982-06. Simulating physics with computers in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2001. Quantum Computing in NONE
  • Book

    TITLE

    Quantum Interaction

    ISBN

    978-3-642-00833-7
    978-3-642-00834-4

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-642-00834-4_14

    DOI

    http://dx.doi.org/10.1007/978-3-642-00834-4_14

    DIMENSIONS

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