PPM c-q code[1]

Description

A \(q\)-PPM c-q code is a bosonic c-q code whose \(j\)th codeword corresponds to a tensor-product state of zero-amplitude coherent states at all modes except mode \(j\). For example, a 3-PPM encoding corresponds to the three-mode states \(|\alpha\rangle|0\rangle|0\rangle\), \(|0\rangle|\alpha\rangle|0\rangle\), and \(|0\rangle|0\rangle|\alpha\rangle\) for some complex \(\alpha\). The dual of a PPM code is obtained by the exchange \(0\leftrightarrow\alpha\).

Decoding

Conditional pulse nulling (CPN) receiver [2].

Realizations

Conditional pulse nulling (CPN) receiver [1].

Parent

Cousins

References

[1]
J. Chen et al., “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver”, Nature Photonics 6, 374 (2012) arXiv:1111.4017 DOI
[2]
S. J. Dolinar, Jr., “A near-optimum receiver structure for the detection of M-ary optical PPM signals”, The Telecommunications and Data Acquisition Progress Report 42 72: December 1982; NASA: Pasadena, CA, (1983)
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Zoo Code ID: quantum_ppm

Cite as:
“PPM c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/quantum_ppm
BibTeX:
@incollection{eczoo_quantum_ppm, title={PPM c-q code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_ppm} }
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Cite as:

“PPM c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/quantum_ppm

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical_into_quantum/oscillators/quantum_ppm.yml.