On-off keyed (OOK) c-q code[1]
Description
Coherent-state c-q binary code whose encoding is either in the vacuum \(|0\rangle\) or in a nonzero coherent state \(|\alpha\rangle\).Protection
For equal priors on the binary alphabet \(\{|0\rangle,|\alpha\rangle\}\), the minimum error probability is given by the Helstrom expression \begin{align} P_{\mathrm{err}}^{\star}=\frac{1}{2}\left(1-\sqrt{1-e^{-|\alpha|^2}}\right)~, \tag*{(1)}\end{align} since \(|\langle 0|\alpha\rangle|^2=e^{-|\alpha|^2}\). The mean photon number of the non-vacuum symbol is \(|\alpha|^2\).Decoding
Dolinar receiver [2], which attains the Helstrom limit in the ideal model and has been demonstrated in proof-of-principle experiments [1].Superconducting transition edge sensor (TES) photon-number resolving detector [3].Cousin
- BPSK c-q code— OOK c-q codewords are related to BPSK c-q codewords by a displacement in phase space.
Primary Hierarchy
Parents
On-off keyed (OOK) c-q code
References
- [1]
- R. L. Cook, P. J. Martin, and J. M. Geremia, “Optical coherent state discrimination using a closed-loop quantum measurement”, Nature 446, 774 (2007) DOI
- [2]
- Dolinar, Samuel Joseph. “An optimum receiver for the binary coherent state quantum channel.” Research Laboratory of Electronics, MIT, Quarterly Progress Report 11 (1973): 115-120.
- [3]
- K. Tsujino, D. Fukuda, G. Fujii, S. Inoue, M. Fujiwara, M. Takeoka, and M. Sasaki, “Sub-shot-noise-limit discrimination of on-off keyed coherent signals via a quantum receiver with a superconducting transition edge sensor”, Optics Express 18, 8107 (2010) arXiv:1002.2819 DOI
Page edit log
- Victor V. Albert (2023-01-13) — most recent
Cite as:
“On-off keyed (OOK) c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_ook