The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Benchmarking Quantum Computers: The Five-Qubit Error Correcting Code
Open accessAbstract
The smallest quantum code that can correct all one-qubit errors is based on five qubits. We experimentally implemented the encoding, decoding, and error-correction quantum networks using nuclear magnetic resonance on a five spin subsystem of labeled crotonic acid. The ability to correct each error was verified by tomography of the process. The use of error correction for benchmarking quantum networks is discussed, and we infer that the fidelity achieved in our experiment is sufficient for preserving entanglement.
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Citations
Cites
Bulk Spin-Resonance Quantum Computation
Gershenfeld, N. A., & Chuang, I. L. (1997) · Science · doi:10.1126/science.275.5298.350 · Cited by 1,528
Class of quantum error-correcting codes saturating the quantum Hamming bound
Gottesman, D. (1996) · Physical Review A · doi:10.1103/physreva.54.1862 · Cited by 1,227
Preskill, J. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0167 · Cited by 994
Ensemble quantum computing by NMR spectroscopy
Cory, D. G., Fahmy, A. F., & Havel, T. F. (1997) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.94.5.1634 · Cited by 964
Quantum Error Correction and Orthogonal Geometry
Calderbank, A. R., Rains, E. M., Shor, P. W., & Sloane, N. J. A. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.405 · Cited by 811
Experimental realization of a quantum algorithm
Chuang, I. L., Vandersypen, L. M. K., Zhou, X., Leung, D. W., & Lloyd, S. (1998) · Nature · doi:10.1038/30181 · Cited by 604
Experimental Quantum Error Correction
Cory, D. G., Price, M. D., Maas, W., Knill, E., Laflamme, R., Zurek, W. H., Havel, T. F., & Somaroo, S. S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.2152 · Cited by 581
Self-citationAn algorithmic benchmark for quantum information processing
Knill, E., Laflamme, R., Martinez, R., & Tseng, C.-H. (2000) · Nature · doi:10.1038/35006012 · Cited by 290
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Cited by
Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., & O’Brien, J. L. (2010) · Nature · doi:10.1038/nature08812 · Cited by 3,592
Self-citationNMR techniques for quantum control and computation
Vandersypen, L. M. K., & Chuang, I. L. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.1037 · Cited by 1,217
Quantum computing with trapped ions
HAFFNER, H., ROOS, C., & BLATT, R. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.003 · Cited by 1,154
Extending the lifetime of a quantum bit with error correction in superconducting circuits
Ofek, N., Petrenko, A., Heeres, R., Reinhold, P., Leghtas, Z., Vlastakis, B., Liu, Y., Frunzio, L., Girvin, S. M., Jiang, L., et al. (2016) · Nature · doi:10.1038/nature18949 · Cited by 941
State preservation by repetitive error detection in a superconducting quantum circuit
Kelly, J., Barends, R., Fowler, A. G., Megrant, A., Jeffrey, E., White, T. C., Sank, D., Mutus, J. Y., Campbell, B., Chen, Y., et al. (2015) · Nature · doi:10.1038/nature14270 · Cited by 916
Metadata
- Authors
- Knill, E., Laflamme, R., Martinez, R., & Negrevergne, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-06-18
- Volume
- 86
- Issue
- 25
- Pages
- 5811-5814
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1978545431
- Cited by
- 216
- References
- 8
- FWCI
- 12.02
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
