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Decoherence by correlated noise and quantum error correction.

E Novais1, Harold U Baranger

  • 1Department of Physics, Duke University, Durham, North Carolina 27708-0305, USA.

Physical Review Letters
|August 16, 2006
PubMed
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We developed a method to quantify quantum computer decoherence in correlated environments. Small adjustments to error correction codes can significantly reduce decoherence effects from long-range correlations.

Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • Quantum computers are susceptible to decoherence caused by environmental interactions.
  • Environmental correlations in time and space can exacerbate decoherence.
  • Stabilizer error correction codes are crucial for mitigating quantum errors.

Purpose of the Study:

  • To derive a general method for quantifying decoherence in quantum computers within correlated environments.
  • To investigate the impact of time- and space-correlated environments on quantum computations.
  • To explore the effectiveness of stabilizer error correction codes in mitigating such decoherence.

Main Methods:

  • Derivation of the non-unitary time evolution for a quantum computer and its environment under a stabilizer error correction code.

Related Experiment Videos

  • Application of the general theory to the specific case of the spin-boson model.
  • Analysis of the influence of environmental correlations on decoherence rates.

    • Main Results:

    • A general framework for quantifying quantum computer decoherence in correlated environments was established.
    • The study demonstrated that long-range correlations in the environment significantly impact decoherence.
    • It was shown that subtle modifications to error correction codes can effectively suppress these correlation-induced decoherence effects.

    Conclusions:

    • The developed theory provides a robust tool for understanding and quantifying decoherence in realistic quantum computing scenarios.
    • Stabilizer error correction codes offer a promising avenue for protecting quantum information from correlated environmental noise.
    • Further research into optimizing error correction strategies for correlated environments is warranted for advancing fault-tolerant quantum computing.