The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Bosonic quantum codes for amplitude damping
Open accessAbstract
Traditional quantum error correction involves the redundant encoding of $k$ quantum bits using $n$ quantum bits to allow the detection and correction of any $t$ bit error. The smallest general $t=1$ code requires $n=5$ for $k=1$. However, the dominant error process in a physical system is often well known, thus inviting the following question: Given a specific error model, can more efficient codes be devised? We demonstrate alternative codes that correct just amplitude damping errors that allow, for example, a $t=1$, $k=1$ code using effectively $n=4.6$. Our scheme is based on using bosonic states of photons in a finite number of optical modes. We present necessary and sufficient conditions for the codes and describe construction algorithms, physical implementation, and performance bounds.
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Cites
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Cited by
Microwave photonics with superconducting quantum circuits
Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y.-X., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.10.002 · Cited by 1,307
Fault-tolerant quantum computation with constant error
Aharonov, D., & Ben-Or, M. (1997) · Proceedings of the twenty-ninth annual ACM symposium on Theory of computing - STOC '97 · doi:10.1145/258533.258579 · Cited by 631
Fault-Tolerant Quantum Computation with Constant Error Rate
Aharonov, D., & Ben-Or, M. (2008) · SIAM Journal on Computing · doi:10.1137/s0097539799359385 · Cited by 513
Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping
Cochrane, P. T., Milburn, G. J., & Munro, W. J. (1999) · Physical Review A · doi:10.1103/physreva.59.2631 · Cited by 470
Encoding a qubit in a trapped-ion mechanical oscillator
Flühmann, C., Nguyen, T. L., Marinelli, M., Negnevitsky, V., Mehta, K., & Home, J. P. (2019) · Nature · doi:10.1038/s41586-019-0960-6 · Cited by 394
Metadata
- Authors
- Chuang, I. L., Leung, D. W., & Yamamoto, Y.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1997-08-01
- Volume
- 56
- Issue
- 2
- Pages
- 1114-1125
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2045257197
- Cited by
- 214
- References
- 7
- FWCI
- 2.38
- 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).
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