Simulation of the Burgers Equation by NMR Quantum Information Processing

Abstract

We report on the implementation of Burgers equation as a type-II quantum computation on an NMR quantum information processor. Since the flow field evolving under the Burgers equation develops sharp features over time, this is a better test of liquid state NMR implementations of type-II quantum computers than the previous examples using the diffusion equation. In particular, we show that Fourier approximations used in the encoding step are not the dominant error. Small systematic errors in the collision operator accumulate and swamp all other errors. We propose, and demonstrate, that the accumulation of this error can be avoided to a large extent by replacing the single collision operator with a set of operators with random errors and similar fidelities. Experiments have been implemented on 16 two-qubit sites for eight successive time steps for the Burgers equation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 25, 2004
Accession Number
ADA437216

Entities

People

  • David G. Cory
  • Jeffrey Yepez
  • Zhiying Chen

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Coding
  • Collisions
  • Computations
  • Computers
  • Diffusion
  • Equations
  • Frequency
  • Information Processing
  • Quantum Computers
  • Quantum Computing
  • Quantum Information
  • Quantum Information Science
  • Radio Frequency Pulses
  • Reliability
  • Resonant Frequency
  • Simulations

Readers

  • Calculus or Mathematical Analysis
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing