Imitating Quantum Mechanics: Qubit-Based Model for Simulation

Abstract

We present an approach to simulating quantum computation based on a classical model that directly imitates discrete quantum systems. Qubits are represented as harmonic functions in a two-dimensional vector space. Multiplication of qubit representations of different frequencies results in exponential growth of the state space similar to the tensor-product composition of qubit spaces in quantum mechanics. Individual qubits remain accessible in a composite system, which is represented as a complex function of a single variable, though entanglement imposes a demand on resources that scales exponentially with the number of entangled qubits. We carry out a simulation of Shor's algorithm and discuss a simpler implementation in this classical model.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2009
Accession Number
ADA512532

Entities

People

  • Steven Peil

Organizations

  • United States Naval Observatory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computations
  • Difference Frequency
  • Frequency
  • Measurement
  • Mechanics
  • Probability
  • Quantum Algorithms
  • Quantum Computing
  • Quantum Mechanics
  • Shor'S Algorithm
  • Simulations
  • Two Dimensional
  • Vector Spaces

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing
  • Space