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Realization of quantum error correction
Abstract
Scalable quantum computation and communication require error control to protect quantum information against unavoidable noise. Quantum error correction protects information stored in two-level quantum systems (qubits) by rectifying errors with operations conditioned on the measurement outcomes. Error-correction protocols have been implemented in nuclear magnetic resonance experiments, but the inherent limitations of this technique prevent its application to quantum information processing. Here we experimentally demonstrate quantum error correction using three beryllium atomic-ion qubits confined to a linear, multi-zone trap. An encoded one-qubit state is protected against spin-flip errors by means of a three-qubit quantum error-correcting code. A primary ion qubit is prepared in an initial state, which is then encoded into an entangled state of three physical qubits (the primary and two ancilla qubits). Errors are induced simultaneously in all qubits at various rates. The encoded state is decoded back to the primary ion one-qubit state, making error information available on the ancilla ions, which are separated from the primary ion and measured. Finally, the primary qubit state is corrected on the basis of the ancillae measurement outcome. We verify error correction by comparing the corrected final state to the uncorrected state and to the initial state. In principle, the approach enables a quantum state to be maintained by means of repeated error correction, an important step towards scalable fault-tolerant quantum computation using trapped ions.
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“Both of them are promising candidates in theoretical predictions but are still in their initial stage for experimental implementations [10][11][12][13].”
From Topological protection of two-photon quantum correlation on a photonic chip (2019) · cites this paper as [10]
In the citing paper
“Quantum error correction is proposed to preserve logical quantum states in a subspace and rectify errors according to the measurement outcomes of ancillary particles [10,11].”
From Topological protection of two-photon quantum correlation on a photonic chip (2019) · cites this paper as [10]
In the citing paper
“A UDQS is the only DQS which has guaranteed access to error correction and fault tolerance [107, 108]”
From Can one trust quantum simulators? (2012) · cites this paper as [107]
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Self-citationTime-series quantum reservoir computing with weak and projective measurements
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Metadata
- Authors
- Chiaverini, J., Leibfried, D., Schaetz, T., Barrett, M. D., Blakestad, R. B., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., Ozeri, R., & Wineland, D. J.
- Affiliations
- National Institute of Standards and Technology (US)
- Corresponding author
- Chiaverini, J.
- Venue
- Nature
- Published
- 2004-12
- Volume
- 432
- Issue
- 7017
- Pages
- 602-605
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2019024432
- Cited by
- 517
- References
- 25
- Citations by year
- 2026: 13 · 2025: 34 · 2024: 30 · 2023: 26 · 2022: 31 · 2021: 37 · 2020: 18 · 2019: 19 · 2018: 23 · 2017: 23 · 2016: 23 · 2015: 28 · 2014: 22 · 2013: 20 · 2012: 18
- FWCI
- 18.60
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Funders
- National Security Agency
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum error correction, trapped-ion qubits, beryllium ions, ancilla qubits, fault-tolerant quantum computing, quantum state protection
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