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Topological protection and quantum noiseless subsystems.

Paolo Zanardi1, Seth Lloyd

  • 1Institute for Scientific Interchange Foundation and Istituto Nazionale per la Fisica della Materia, Viale Settimio Severo 65, I-10133 Torino, Italy.

Physical Review Letters
|March 14, 2003
PubMed
Summary

Topological quantum information processing offers inherent fault tolerance. This approach is a specific case of computation within a noiseless quantum subsystem, providing a general framework for quantum data stabilization.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Topological approaches offer inherent fault tolerance for quantum information.
  • Quantum information processing requires robust methods for maintaining coherence.

Purpose of the Study:

  • To demonstrate that topological quantum information processing is an instance of computation in a noiseless quantum subsystem.
  • To establish the noiseless quantum subsystem as a general framework for stabilizing quantum information and preserving coherence in topological and geometric systems.

Main Methods:

  • Theoretical analysis of topological quantum information processing.
  • Conceptual framework development for noiseless quantum subsystems.

Main Results:

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  • Topological quantum information processing is shown to be a specific case of computation in a noiseless quantum subsystem.
  • The noiseless quantum subsystem framework is established as a general concept for stabilizing quantum information.

Conclusions:

  • Topological methods provide a physically realized pathway to fault-tolerant quantum computation.
  • Noiseless quantum subsystems offer a universal framework for quantum error suppression in diverse physical systems.