Braunstein five-mode code[1]

Description

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

Decoding

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

Parents

Cousin

Zoo code information

Internal code ID: braunstein

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

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} }
Permanent link:
https://errorcorrectionzoo.org/c/braunstein

References

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

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/braunstein.yml.