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Cited by 362Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum and electron transport phenomena

Universal Fault-Tolerant Quantum Computation on Decoherence-Free Subspaces

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Bacon, D., Kempe, J., Lidar, D. A., Whaley, K. B.·2000·Physical Review Letters
DOI 10.1103/physrevlett.85.1758
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Abstract

A general scheme to perform universal, fault-tolerant quantum computation within decoherence-free subspaces (DFSs) is presented. At most two-qubit interactions are required, and the system remains within the DFS throughout the entire implementation of a quantum gate. We show explicitly how to perform universal computation on clusters of the four-qubit DFS encoding one logical qubit each under spatially symmetric (collective) decoherence. Our results have immediate relevance to quantum computer implementations in which quantum logic is implemented through exchange interactions, such as the recently proposed spin-spin coupled quantum dot arrays and donor-atom arrays.

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Cites

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  • Without error corrections, the effect of noise will accumulate and ruin the entire computation.

    “Without error corrections, the effect of noise will accumulate and ruin the entire computation[72, 17, 54, 52, 7], and hence the computation must be protected.”

    From Fault-Tolerant Quantum Computation with Constant Error Rate (2008) · cites this paper as [17]

  • Independent and quasi independent probabilistic errors, amplitude and phase damping, decoherence, and systematic inaccuracies in gates are all special cases of the general noise model defined above.

    “Independent and quasi independent probabilistic errors, amplitude and phase damping, decoherence, and systematic inaccuracies in gates, are all special cases of the general noise model defined above.”

    From Fault-Tolerant Quantum Computation with Constant Error Rate (2008) · cites this paper as [17]

  • Decoherence, amplitude damping and phase damping are all special cases of interactions between qubits and environments, and can be described in the above models as long as the process is local.

    “Decoherence[17], amplitude damping and phase damping[] are all special cases of interactions between the qubits and the environments, and as such they can be described in the above models by definition, as long as the process is local.”

    From Fault-Tolerant Quantum Computation with Constant Error Rate (2008) · cites this paper as [17]

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Cites

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Research works printed but not linked: 26

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  14. D. Gottesman, Phys. Rev. A 54, 1862 (1996).
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Authors
Bacon, D., Kempe, J., Lidar, D. A., & Whaley, K. B.
Affiliations
  • University of California, Berkeley (US)
  • Télécom Paris (FR)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2000-08-21
Volume
85
Issue
8
Pages
1758-1761
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.85.1758
OpenAlex
W2167472672
Cited by
362
References
25
Citations by year
2026: 5 · 2025: 18 · 2024: 18 · 2023: 6 · 2022: 9 · 2021: 11 · 2020: 12 · 2019: 8 · 2018: 9 · 2017: 11 · 2016: 17 · 2015: 6 · 2014: 11 · 2013: 8 · 2012: 11
FWCI
32.91
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
Army Research Office
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
Keywords
fault-tolerant quantum computing, decoherence-free subspace, universal quantum computation, collective decoherence, logical qubit encoding, two-qubit interactions, exchange interaction, quantum dot arrays

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