Implementation Schemes for the Factorized Quantum Lattice-Gas Algorithm for the One Dimensional Diffusion Equation using Persistent-Current Qubits

Abstract

We present two experimental schemes that can be used to implement the Factorized Quantum Lattice-Gas Algorithm for the 1D Diffusion Equation with Persistent-Current Qubits. One scheme involves biasing the PC Qubit at multiple flux bias points throughout the course of the algorithm. An implementation analogous to that done in Nuclear Magnetic Resonance Quantum Computing is also developed. Errors due to a few key approximations utilized are discussed and differences between the PC Qubit and NMR systems are highlighted.

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Document Details

Document Type
Technical Report
Publication Date
Jan 14, 2005
Accession Number
ADA496010

Entities

People

  • David M. Berns
  • T. P. Orlando

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Diffusion
  • Electrical Engineering
  • Energy Bands
  • Equations
  • Fluid Dynamics
  • Frequency
  • Ground State
  • Information Processing
  • Josephson Junctions
  • Magnetic Fields
  • Magnetic Resonance
  • Nuclear Magnetic Resonance
  • Quantum Bits
  • Quantum Computers
  • Quantum Computing
  • Quantum Information

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Parallel and Distributed Computing.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Dots