The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Concatenating Decoherence-Free Subspaces with Quantum Error Correcting Codes
Open accessAbstract
An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFS's are the class of quantum error correcting codes (QECC's) with fixed, unitary recovery operators and (ii) find explicit representations for the Kraus operators of collective decoherence. We demonstrate how this can be used to construct a concatenated DFS-QECC code which protects against collective decoherence perturbed by independent decoherence. The code yields an error threshold which depends only on the perturbing independent decoherence rate.
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Citations
Cites
Theory of quantum error-correcting codes
Knill, E., & Laflamme, R. (1997) · Physical Review A · doi:10.1103/physreva.55.900 · Cited by 1,593
States, Effects, and Operations Fundamental Notions of Quantum Theory
(1983) · Lecture Notes in Physics · doi:10.1007/3-540-12732-1 · Cited by 1,565
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
Quantum computers and dissipation
(1996) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1996.0029 · Cited by 899
Cited by
Decoherence, einselection, and the quantum origins of the classical
Zurek, W. H. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.715 · Cited by 4,295
Universal quantum computation with the exchange interaction
DiVincenzo, D. P., Bacon, D., Kempe, J., Burkard, G., & Whaley, K. B. (2000) · Nature · doi:10.1038/35042541 · Cited by 924
Self-citationUniversal Fault-Tolerant Quantum Computation on Decoherence-Free Subspaces
Bacon, D., Kempe, J., Lidar, D. A., & Whaley, K. B. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1758 · Cited by 362
Self-citationQuantum channels and memory effects
Caruso, F., Giovannetti, V., Lupo, C., & Mancini, S. (2012) · arXiv · doi:10.48550/arxiv.1207.5435 · Cited by 331
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Metadata
- Authors
- Lidar, D. A., Bacon, D., & Whaley, K. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-05-31
- Volume
- 82
- Issue
- 22
- Pages
- 4556-4559
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2038244739
- Cited by
- 274
- References
- 5
- FWCI
- 21.97
- Type
- journal article
- Language
- en
- Open access
- green
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- Lidar, D. A., Bacon, D., & Whaley, K. B. (1999). Concatenating Decoherence-Free Subspaces with Quantum Error Correcting Codes. Physical Review Letters. https://doi.org/10.1103/physrevlett.82.4556
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