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Characterization of complex quantum dynamics with a scalable NMR information processor.

C A Ryan1, J Emerson, D Poulin

  • 1Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada.

Physical Review Letters
|December 31, 2005
PubMed
Summary
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We measured quantum information processor fidelity decay using nuclear magnetic resonance. Results reveal differences in regular versus complex dynamics, confirming theoretical predictions for complex systems and offering a method to assess decoherence.

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Nuclear Magnetic Resonance

Background:

  • Understanding quantum system dynamics is crucial for developing robust quantum information processors.
  • Fidelity decay, a measure of quantum state degradation, is influenced by system complexity and environmental interactions.
  • Nuclear Magnetic Resonance (NMR) provides a controllable platform for experimental quantum information processing.

Purpose of the Study:

  • To experimentally measure and compare fidelity decay rates in a quantum information processor under different system dynamics.
  • To validate theoretical predictions of fidelity decay for both regular and complex quantum system behaviors.
  • To demonstrate the utility of the experimental method for characterizing large quantum system dynamics and measuring decoherence rates.

Related Experiment Videos

Main Methods:

  • Implemented a scalable quantum circuit within the deterministic quantum computation model using a single qubit.
  • Utilized a nuclear magnetic resonance quantum information processor for experimental measurements.
  • Analyzed fidelity decay patterns across contrasting system dynamics (regular vs. complex).

Main Results:

  • Observed measurable differences in fidelity decay between regular and complex system dynamics.
  • Demonstrated that the observed decay rate for complex dynamics aligns faithfully with theoretical predictions.
  • Confirmed the experimental method's effectiveness in extracting coarse-grained information about system dynamics.

Conclusions:

  • The experimental approach effectively distinguishes between different quantum system dynamics based on fidelity decay.
  • The method provides a reliable way to assess decoherence rates in engineered environments.
  • This work contributes to the development of more robust and accurate quantum information processing technologies.