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Fault-tolerant quantum dynamical decoupling.

K Khodjasteh1, D A Lidar

  • 1Physics Department, University of Toronto, Ontario, Canada M5S 1A7.

Physical Review Letters
|December 31, 2005
PubMed
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We developed recursively concatenated dynamical decoupling pulses to improve quantum system coherence times. This new method offers fault tolerance and superpolynomial efficiency against decoherence and operational errors in quantum computers.

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Control

Background:

  • Dynamical decoupling pulse sequences extend coherence times in quantum systems.
  • Standard periodic sequences face limitations with decoherence and operational errors.

Purpose of the Study:

  • Introduce a novel method of recursively concatenated dynamical decoupling pulses.
  • Overcome decoherence and operational errors for enhanced coherent control.

Main Methods:

  • Recursive concatenation of dynamical decoupling pulses.
  • Analysis for bounded-strength, non-Markovian environments (e.g., spin-bath).

Main Results:

  • Concatenated pulses are strictly advantageous over standard periodic sequences.

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  • The concatenated scheme is fault tolerant and superpolynomially more efficient.
  • Derived a condition for guaranteed decoherence reduction based on pulse noise levels.

    • Conclusions:

    • Recursively concatenated dynamical decoupling offers superior performance for quantum systems.
    • This method is crucial for advancing solid-state quantum computer proposals.
    • Provides a pathway to more robust and efficient quantum computation.