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Fault-Tolerant Quantum Dynamical Decoupling

Authors
  • Khodjasteh, K.
  • Lidar, D. A.
Type
Published Article
Publication Date
Sep 08, 2005
Submission Date
Aug 20, 2004
Identifiers
DOI: 10.1103/PhysRevLett.95.180501
arXiv ID: quant-ph/0408128
Source
arXiv
License
Unknown
External links

Abstract

Dynamical decoupling pulse sequences have been used to extend coherence times in quantum systems ever since the discovery of the spin-echo effect. Here we introduce a method of recursively concatenated dynamical decoupling pulses, designed to overcome both decoherence and operational errors. This is important for coherent control of quantum systems such as quantum computers. For bounded-strength, non-Markovian environments, such as for the spin-bath that arises in electron- and nuclear-spin based solid-state quantum computer proposals, we show that it is strictly advantageous to use concatenated, as opposed to standard periodic dynamical decoupling pulse sequences. Namely, the concatenated scheme is both fault-tolerant and super-polynomially more efficient, at equal cost. We derive a condition on the pulse noise level below which concatenated is guaranteed to reduce decoherence.

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