Amplitude-damping CWS code[1]
Description
Self-complementary CWS code that is designed to detect and correct AD errors.
Ref. [1] constructs such codes by starting from classical self-complementary single-error-correcting codes for the binary asymmetric channel and lifting them to quantum codewords of the form \(|u\rangle+|\overline{u}\rangle\). In particular, the paper uses nonlinear Constantin-Rao and related Varshamov-Tenengol’ts codes, and also a binary-to-ternary mapping to obtain improved families for short block lengths.
Encoding
Because the resulting codes are of CWS type, encoding circuits can be obtained from the underlying CWS construction [1].Decoding
Because the resulting codes are of CWS type, decoding circuits can be obtained from the underlying CWS construction [1].Cousin
- Constantin-Rao (CR) code— Amplitude-damping CWS codes can be obtained from CR codes [1].
Primary Hierarchy
References
- [1]
- P. W. Shor, G. Smith, J. A. Smolin, and B. Zeng, “High performance single-error-correcting quantum codes for amplitude damping”, (2009) arXiv:0907.5149
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2024-07-14)
Cite as:
“Amplitude-damping CWS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/ampdamp_cws, arXiv:2606.11484