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Dynamically corrected gates for an exchange-only qubit

2013/03/31 by Garrett Hickman, G. T. Hickman, Xin Wang +2 · 38 citations
Chemistry · Computer Science · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Chemistry #Combinatorics #Computer science #Decoupling (probability) #Dynamical decoupling #Engineering #Mathematics #Noise (video) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Qubit #Sequence (biology) #Statistical physics #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.88.161303

published in Physical Review B 88(16) (American Physical Society) · 5 pages, 3 figures, + 5 pages supplemental information

openalex publication_date 2013/10/17 · arxiv created 2013/10/23 · arxiv updated 2013/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We provide analytical composite pulse sequences that perform dynamical decoupling concurrently with arbitrary rotations for a qubit coded in the spin state of a triple quantum dot. The sequences are designed to respect realistic experimental constraints such as strictly nonnegative couplings. Logical errors and leakage errors are simultaneously corrected. A short pulse sequence is presented to compensate nuclear noise and a longer sequence is presented to simultaneously compensate nuclear and charge noise. The capability developed in this work provides a clear prescription for combatting the relevant sources of noise that currently hinder exchange-only qubit experiments.

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