Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1309.6424 · Nature

Quantum error correction in a solid-state hybrid spin register

G. Waldherr, Y. Wang, Sebastian Zaiser, M. Jamali, Thomas Schulte‐Herbrüggen, Hiroshi Abe, Takeshi Ohshima, Junichi Isoya, Jiangfeng Du, Philipp Neumann, Jörg Wrachtrup

Published Jan 28, 2014• 616 citations
arXivHTMLPDF
DOI
10.1038/nature12919

Related papers

Decoherence-protected quantum gates for a hybrid solid-state spin register

Toeno van der Sar, Z. H. Wang, Machiel Blok +7 more

arXiv:1202.4379•Nature•Apr 1, 2012•399 citations

Quantum Error Correction and the Future of Solid State Quantum Computing

David Peter Divincenzo

Bulletin of the American Physical Society•Mar 16, 2016•1 citation

Universal control and error correction in multi-qubit spin registers in diamond

T. H. Taminiau, Julia Cramer, Toeno van der Sar +2 more

arXiv:1309.5452•Nature Nanotechnology•Feb 1, 2014•429 citations

Nuclear spin-wave quantum register for a solid-state qubit

Andrei Ruskuc, Chun-Ju Wu, Jake Rochman +2 more

arXiv:2108.12723•Nature•Feb 16, 2022•109 citations

29Si nuclear spins as a resource for donor spin qubits in silicon

Gary Wolfowicz, Pierre-André Mortemousque, Roland Guichard +4 more

Nuclear spin registers in the vicinity of electron spins in solid state systems offer a powerful resource to address the challenge of scalability in quantum architectures. We investigate here the properties of 29 Si nuclear spins surrounding donor atoms in silicon, and consider the use of such spins, combined with the donor nuclear spin, as a quantum register coupled to the donor electron spin. We find the coherence of the nearby 29 Si nuclear spins is effectively protected by the presence of the donor electron spin, leading to coherence times in the second timescale—over two orders of magnitude greater than the coherence times in bulk silicon. We theoretically investigate the use of such a register for quantum error correction (QEC), including methods to protect nuclear spins from the ionisation/neutralisation of the donor, which is necessary for the re-initialisation of the ancillae qubits. This provides a route for multi-round QEC using donors in silicon.

arXiv:1505.02057•New Journal of Physics•Feb 4, 2016•22 citations

Measure of decoherence in quantum error correction for solid-state quantum computing

Alexey A. Melnikov, Leonid Evgenevich Fedichkin

We considered the interaction of semiconductor quantum register with noisy environment leading to various types of qubit errors. We analysed both phase and amplitude decays during the process of electron-phonon interaction. The performance of quantum error correction codes (QECC) which will be inevitably used in full scale quantum information processors was studied in realistic conditions in semiconductor nanostructures. As a hardware basis for quantum bit we chose the quantum spatial states of single electron in semiconductor coupled double quantum dot system. The modified 5- and 9-qubit quantum error correction (QEC) algorithms by Shor and DiVincenzo without error syndrome extraction were applied to quantum register. 5-qubit error correction procedures were implemented for Si charge double dot qubits in the presence of acoustic phonon environment. ¬-matrix, Choi{Jamio lkowski state and measure of decoherence techniques were used to quantify qubit faulttolerance. Our results showed that the introduction of above quantum error correction techniques at small phonon noise levels provided quadratic improvement of output error rates. The effciency of 5-qubits quantum error correction algorithm in semiconductor quantum information processors was demonstrated.

arXiv:1210.6590•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 3, 2013•7 citations
Nuclear spin registers in the vicinity of electron spins in solid state systems offer a powerful resource to address the challenge of scalability in quantum architectures. We investigate here the properties of 29 Si nuclear spins surrounding donor atoms in silicon, and consider the use of such spins, combined with the donor nuclear spin, as a quantum register coupled to the donor electron spin. We find the coherence of the nearby 29 Si nuclear spins is effectively protected by the presence of the donor electron spin, leading to coherence times in the second timescale—over two orders of magnitude greater than the coherence times in bulk silicon. We theoretically investigate the use of such a register for quantum error correction (QEC), including methods to protect nuclear spins from the ionisation/neutralisation of the donor, which is necessary for the re-initialisation of the ancillae qubits. This provides a route for multi-round QEC using donors in silicon.
We considered the interaction of semiconductor quantum register with noisy environment leading to various types of qubit errors. We analysed both phase and amplitude decays during the process of electron-phonon interaction. The performance of quantum error correction codes (QECC) which will be inevitably used in full scale quantum information processors was studied in realistic conditions in semiconductor nanostructures. As a hardware basis for quantum bit we chose the quantum spatial states of single electron in semiconductor coupled double quantum dot system. The modified 5- and 9-qubit quantum error correction (QEC) algorithms by Shor and DiVincenzo without error syndrome extraction were applied to quantum register. 5-qubit error correction procedures were implemented for Si charge double dot qubits in the presence of acoustic phonon environment. ¬-matrix, Choi{Jamio lkowski state and measure of decoherence techniques were used to quantify qubit faulttolerance. Our results showed that the introduction of above quantum error correction techniques at small phonon noise levels provided quadratic improvement of output error rates. The effciency of 5-qubits quantum error correction algorithm in semiconductor quantum information processors was demonstrated.