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Experimental implementation of the quantum baker's map.

Yaakov S Weinstein1, Seth Lloyd, Joseph Emerson

  • 1Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge 02139, USA.

Physical Review Letters
|October 9, 2002
PubMed
Summary
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Researchers demonstrated the quantum baker's map using nuclear magnetic resonance. Experiments revealed the quantum chaotic map's sensitivity to perturbations, offering insights into quantum chaos.

Area of Science:

  • Quantum Information Science
  • Quantum Chaos
  • Experimental Physics

Background:

  • The quantum baker's map is a model for quantum chaos.
  • Experimental verification of quantum chaotic dynamics is crucial for understanding quantum systems.
  • Nuclear Magnetic Resonance (NMR) is a viable platform for quantum information processing.

Purpose of the Study:

  • To experimentally implement the quantum baker's map using a three-bit NMR quantum information processor.
  • To test the sensitivity of the quantum baker's map to perturbations.
  • To investigate quantum chaotic dynamics and compare with theoretical predictions.

Main Methods:

  • Utilized a three-bit Nuclear Magnetic Resonance quantum information processor.
  • Implemented the quantum baker's map through iterative forward and backward operations.

Related Experiment Videos

  • Introduced controlled perturbations to the least significant qubit during map iterations.

    • Main Results:

    • Successfully implemented the quantum baker's map on an NMR platform.
    • Quantified the map's sensitivity to perturbations by analyzing forward and backward iterations.
    • Established benchmarks for intrinsic errors and decoherence in the system.

    Conclusions:

    • The experimental results validate the sensitivity of the quantum baker's map to perturbations.
    • NMR quantum processors can be used to study quantum chaotic dynamics.
    • This work provides a foundation for investigating theoretical predictions in quantum chaos.