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Spin chains and channels with memory.

M B Plenio1, S Virmani

  • 1QOLS, Blackett Laboratory, Imperial College London, London SW7 2BW, United Kingdom.

Physical Review Letters
|October 13, 2007
PubMed
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Quantum channel capacity can exhibit nonanalytic behavior due to correlated errors, a phenomenon analogous to quantum phase transitions. This study uses many-body theory to analyze these complex error models.

Area of Science:

  • Quantum Information Theory
  • Condensed Matter Physics
  • Quantum Many-Body Systems

Background:

  • Standard quantum channel studies assume independent errors.
  • Recent work suggests correlated errors may induce nonanalytic capacity behavior.

Purpose of the Study:

  • Investigate the impact of correlated errors on quantum channel capacity.
  • Explore nonanalytic behaviors analogous to quantum phase transitions.

Main Methods:

  • Connecting the study of quantum channels with correlated errors to many-body systems.
  • Applying many-body theory techniques to solve models of correlated error.

Main Results:

  • Demonstrated that models of correlated error can exhibit nonanalyticities.

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  • Established an analogy between these nonanalyticities and quantum phase transitions.

    • Conclusions:

    • Correlated errors in quantum channels can lead to complex, nonanalytic behaviors.
    • Many-body theory provides a powerful framework for analyzing such phenomena.