Braunstein five-mode code[1] 

Description

A \([[5,1,3]]_{\mathbb{R}}\) analog stabilizer version of the five-qubit perfect code.

Decoding

Error correction can be done using linear-optical elements and feedback [2].

Parents

Cousin

References

[1]
S. L. Braunstein, “Error Correction for Continuous Quantum Variables”, Physical Review Letters 80, 4084 (1998) arXiv:quant-ph/9711049 DOI
[2]
S. L. Braunstein, “Quantum error correction for communication with linear optics”, Nature 394, 47 (1998) DOI
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Zoo Code ID: braunstein

Cite as:
“Braunstein five-mode code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/braunstein
BibTeX:
@incollection{eczoo_braunstein,
  title={Braunstein five-mode code},
  booktitle={The Error Correction Zoo},
  year={2022},
  editor={Albert, Victor V. and Faist, Philippe},
  url={https://errorcorrectionzoo.org/c/braunstein}
}
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Permanent link:
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Cite as:

“Braunstein five-mode code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/braunstein

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/oscillators/stabilizer/hyperplane/braunstein.yml.