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Stabilization of Quantum Information: A Unified Dynamical-Algebraic Approach

In: Macroscopic Quantum Coherence and Quantum Computing

Author

Listed:
  • Paolo Zanardi

    (Villa Gualino, Institute for Scientific Interchange (ISI) Foundation
    Istituto Nazionale per la Fisica della Materia (INFM))

Abstract

The notion of symmetry is shown to be at the heart of all error correction/avoidance strategies for preserving quantum coherence of an open quantum system S e.g., a quantum computer. The existence of a nontrivial group of symmetries of the dynamical algebra of S provides statespace sectors immune to decoherence. Such noiseless sectors, that can be viewed as a noncommutative version of the pointer basis, are shown to support universal quantum computation and to be robust against perturbations. When the required symmetry is not present one can generate it artificially resorting to active symmetrization procedures.

Suggested Citation

  • Paolo Zanardi, 2001. "Stabilization of Quantum Information: A Unified Dynamical-Algebraic Approach," Springer Books, in: Dmitri V. Averin & Berardo Ruggiero & Paolo Silvestrini (ed.), Macroscopic Quantum Coherence and Quantum Computing, pages 351-357, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4615-1245-5_35
    DOI: 10.1007/978-1-4615-1245-5_35
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