Monte Carlo simulation of quantum computation

N. J. Cerf, S. E. Koonin

Research output: Contribution to journalArticlepeer-review

Abstract

The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields using the Hubbard-Stratonovich representation of two-bit quantum gates in terms of one-bit gates. This makes it possible to perform the stochastic simulation of a quantum algorithm based on the Monte Carlo evaluation of an integral of dimension polynomial in the number of quantum bits. As an example, the simulation of the quantum circuit for the fast Fourier transform is discussed.

Original languageEnglish (US)
Pages (from-to)143-152
Number of pages10
JournalMathematics and Computers in Simulation
Volume47
Issue number2-5
DOIs
StatePublished - Aug 1 1998

Keywords

  • Quantum Monte Carlo methods
  • Quantum computers

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics

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