Stabilization of Quantum Information: A Unified Dynamical-Algebraic Approach

Paolo Zanardi ()
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Paolo Zanardi: Villa Gualino, Institute for Scientific Interchange (ISI) Foundation

A chapter in Macroscopic Quantum Coherence and Quantum Computing, 2001, pp 351-357 from Springer

Abstract: 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.

Keywords: Open Quantum System; Nontrivial Group; Stabilizer Code; Unital Associative Algebra; Universal Quantum Computation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1245-5_35

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DOI: 10.1007/978-1-4615-1245-5_35

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