Dynamical Decoupling of Nonclassical States in a Biased-Noise Spin Qudit
Abstract
Encoding quantum information in d-dimensional systems (qudits) with d>2 offers appealing new directions for resource-efficient quantum computing. However, protecting the coherence of nonclassical qudit resource states remains an open challenge. Dynamical decoupling (DD) is a well-established technique for extending coherence, but its application to qudits is hindered by the quadratic scaling of the decoupling sequence overhead with the dimension d. As a result, demonstrations of qudit DD have so far been limited to low-dimensional qudits. Here, we show that noise-biased qudits enable a nontrivial reduction of this overhead, for example, from quadratic to linear. We perform qudit DD on a model d=8 qudit, the nuclear spin of an antimony donor in silicon. We benchmark DD performance on highly nonclassical states such as uniform superpositions, cat states, and Haar random states and measure coherence improvements up to a factor $5$ to $10$. For a spin-cat error correction code, continuous DD extends the coherence time of the logical superposition |+⟩L to $225$~ms, compared to $19$~ms under free evolution and $85$~ms with a Hahn echo. This improvement shows that DD sequences tailored to a system's noise bias can significantly enhance the lifetime of encoded logical qubits.
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BibTeX
@misc{vaartjes2026dynamical,
title = {{Dynamical Decoupling of Nonclassical States in a Biased-Noise Spin Qudit}},
author = {Arjen Vaartjes and Namit Anand and Rocky Y. Su and Akram Youssry and Ritik Sareen and Jeffrey Marshall and Mark R. van Blankenstein and Danielle Holmes and Benjamin Wilhelm and Bibek Pokharel and Xi Yu and Laura A. O'Neill and Martin Nurizzo and Alexander M. Jakob and Fay E. Hudson and Kohei M. Itoh and Andrew S. Dzurak and David N. Jamieson and Andrea Morello},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19676},
eprint = {2610.19676},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19676},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Dynamical Decoupling of Nonclassical States in a Biased-Noise Spin Qudit
AU - Arjen Vaartjes
AU - Namit Anand
AU - Rocky Y. Su
AU - Akram Youssry
AU - Ritik Sareen
AU - Jeffrey Marshall
AU - Mark R. van Blankenstein
AU - Danielle Holmes
AU - Benjamin Wilhelm
AU - Bibek Pokharel
AU - Xi Yu
AU - Laura A. O'Neill
AU - Martin Nurizzo
AU - Alexander M. Jakob
AU - Fay E. Hudson
AU - Kohei M. Itoh
AU - Andrew S. Dzurak
AU - David N. Jamieson
AU - Andrea Morello
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.19676
UR - https://arxiv.org/abs/2610.19676
AB - Encoding quantum information in d-dimensional systems (qudits) with d>2 offers appealing new directions for resource-efficient quantum computing. However, protecting the coherence of nonclassical qudit resource states remains an open challenge. Dynamical decoupling (DD) is a well-established technique for extending coherence, but its application to qudits is hindered by the quadratic scaling of the decoupling sequence overhead with the dimension d. As a result, demonstrations of qudit DD have so far been limited to low-dimensional qudits. Here, we show that noise-biased qudits enable a nontrivial reduction of this overhead, for example, from quadratic to linear. We perform qudit DD on a model d=8 qudit, the nuclear spin of an antimony donor in silicon. We benchmark DD performance on highly nonclassical states such as uniform superpositions, cat states, and Haar random states and measure coherence improvements up to a factor $5$ to $10$. For a spin-cat error correction code, continuous DD extends the coherence time of the logical superposition |+⟩_L to $225$~ms, compared to $19$~ms under free evolution and $85$~ms with a Hahn echo. This improvement shows that DD sequences tailored to a system's noise bias can significantly enhance the lifetime of encoded logical qubits.
ER -