Quantum Lattice-Gas Representation of the Dirac Equation

Abstract

This paper reports explicit quantum lattice-gas unitary matrix representations for the 1D and 2D Dirac equations, and the 1D, 2D, and 3D Weyl equations. It also clarifies some algorithms and results introduced in Bialynivki-Birula 1994 and Myer 1996. Most of the matrix solutions are well-suited for type-II quantum computers, such as NMF machines.

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Document Details

Document Type
Technical Report
Publication Date
Apr 09, 2002
Accession Number
ADA415538

Entities

People

  • Gerard T. Fairley

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Computers
  • Difference Equations
  • Differential Equations
  • Dirac Equation
  • Equations
  • Mathematics
  • Path Integrals
  • Quantum Computers
  • Quantum Computing
  • Quantum Mechanics
  • Three Dimensional
  • Two Dimensional

Readers

  • Linear Algebra
  • Neural Network Machine Learning.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing