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Fault-Tolerant Quantum Dynamical Decoupling

2004/08/31 by K. Khodjasteh, Kaveh Khodjasteh, Daniel A. Lidar +1 · 6 citations
Computer Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Computer science #Decoherence-free subspaces #Dynamical decoupling #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum decoherence #Quantum error correction #Quantum mechanics #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physrevlett.95.180501

published as Phys. Rev. Lett. 95, 180501 (2005) · 5 pages, 4 color eps figures. v3: Minor changes. To appear in Phys. Rev. Lett

arxiv created 2005/09/08 · openalex publication_date 2005/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 pulses, as opposed to standard periodic dynamical decoupling pulse sequences. Namely, the concatenated scheme is both fault tolerant and superpolynomially more efficient, at equal cost. We derive a condition on the pulse noise level below which concatenation is guaranteed to reduce decoherence.

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