NMR System for a Type II Quantum Computer

Abstract

This project was to use liquid state nuclear magnetic resonance (NMR) as a test-bed to explore the control of information for Type-II quantum computing (QC) and for quantum information processing approaches to quantum simulations. During the first stages of the project we demonstrated NMR based implementations of type-II QC algorithms including the diffusion equation and Burger's equation. These demonstrations relied on a spatial encoding of non-interacting quantum systems. One of the challenges of quantum simulations is the growth of errors during a lattice type calculation. We demonstrated that we could reduce the errors by introducing random operations that commute with the map. This improved the simulation fidelity but important errors still remained. We then attacked these errors directly by exploring both the transients in our implementation (which led to the largest errors) and a series of more robust optimal control pulses. Finally during this last period we focused on quantum simulations of exchange operations over lattices and demonstrated that quantum interference effects involving multiple paths between the exchanging qubits can lead to higher fidelity operations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2007
Accession Number
ADA470310

Entities

People

  • David G. Cory

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Computer Programs
  • Computers
  • Crystal Structure
  • Information Processing
  • Ion Traps
  • Magnetic Resonance
  • Nuclear Magnetic Resonance
  • Quantum Bits
  • Quantum Computing
  • Quantum Information
  • Quantum Information Science
  • Quantum Mechanics
  • Quantum Properties
  • Radio Frequency Pulses
  • Resonant Frequency
  • Two Dimensional

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Dots