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Adiabatic quantum computation in open systems.

M S Sarandy1, D A Lidar

  • 1Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, Ontario, M5S 3H6, Canada.

Physical Review Letters
|December 31, 2005
PubMed
Summary
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We analyzed adiabatic quantum computation (AQC) performance under decoherence using an open-systems approach. Success depends on balancing system rates, revealing new optimality criteria for robust quantum computing.

Area of Science:

  • Quantum Information Science
  • Quantum Computation
  • Open Quantum Systems

Background:

  • Adiabatic quantum computation (AQC) is a promising paradigm for quantum computation.
  • Decoherence, an inherent challenge in quantum systems, can degrade AQC performance.
  • Traditional analysis often assumes closed systems, neglecting environmental interactions.

Purpose of the Study:

  • To analyze the performance of adiabatic quantum computation (AQC) under decoherence.
  • To introduce an open-systems approach for studying AQC in realistic environments.
  • To identify conditions and criteria for successful AQC in the presence of noise.

Main Methods:

  • Developed an inherently open-systems approach based on a generalized adiabatic approximation.

Related Experiment Videos

  • Analyzed the transition dynamics of quantum systems from adiabatic to non-adiabatic regimes.
  • Investigated the interplay of various rates governing system evolution and decoherence.
  • Main Results:

    • Demonstrated that AQC systems can transition from an adiabatic regime to one where adiabaticity breaks down.
    • Showed that AQC success is critically dependent on the competition between system evolution and decoherence rates.
    • Derived optimality criteria based on the balance of these competing rates.

    Conclusions:

    • The performance of adiabatic quantum computation is highly sensitive to decoherence.
    • An open-systems perspective is crucial for understanding and optimizing AQC.
    • Identifying and controlling relevant rates is key to achieving robust and successful AQC.