10.4121/708d4311-49b1-4ec2-b3cb-292d267df6be.v2
Sébastian de Bone
Sebastian
de Bone
0000-0001-6423-8761
Paul Möller
Paul
Möller
Conor E. Bradley
Conor E.
Bradley
Tim H. Taminiau
Tim H.
Taminiau
David Elkouss
David
Elkouss
0000-0003-2023-2768
Data/software underlying the publication: Thresholds for the distributed surface code in the presence of memory decoherence
4TU.ResearchData
2024
Dataset
Other Information and Computing Sciences
Numerical and Computational Mathematics
Mathematical Sciences
Information and Computing Sciences
distributed quantum computation
entanglement distillation
quantum error-correction
Greenberger-Horne-Zeilinger states
QuTech, Delft University of Technology
QuSoft, CWI Amsterdam
University of Chicago
Okinawa Institute of Science and Technology Graduate University
2024-05-13
en
https://doi.org/10.48550/arxiv.2401.10770
.py; .txt; .csv; .pkl; .ipynb; .pdf; .png
2
CC BY 4.0
<p>In the search for scalable, fault-tolerant quantum computing, distributed quantum computers are promising candidates. These systems can be realized in large-scale quantum networks or condensed onto a single chip with closely situated nodes. We present a framework for numerical simulations of a memory channel using the distributed toric surface code, where each data qubit of the code is part of a separate node, and the error-detection performance depends on the quality of four-qubit Greenberger-Horne-Zeilinger (GHZ) states generated between the nodes. We quantitatively investigate the effect of memory decoherence and evaluate the advantage of GHZ creation protocols tailored to the level of decoherence. We do this by applying our framework for the particular case of color centers in diamond, employing models developed from experimental characterization of nitrogen-vacancy centers. For diamond color centers, coherence times during entanglement generation are orders of magnitude lower than coherence times of idling qubits. These coherence times represent a limiting factor for applications, but previous surface code simulations did not treat them as such. Introducing limiting coherence times as a prominent noise factor makes it imperative to integrate realistic operation times into simulations and incorporate strategies for operation scheduling. Our model predicts error probability thresholds for gate and measurement reduced by at least a factor of three compared to prior work with more idealized noise models. We also find a threshold of 4*10^2 in the ratio between the entanglement generation and the decoherence rates, setting a benchmark for experimental progress. </p>
unknown
Joint research program "Modular quantum computers" by Fujitsu Limited and Delft University of Technology
Dutch Research Council
024.003.037
Quantum Software Consortium
Netherlands Organisation for Scientific Research (NWO/OCW)
Vidi grant
European Research Council (ERC)
852410
Horizon 2020
unknown
JPMJMS226C
JST Moonshot R&D