Quantum turbo code[1,2] 

Description

A quantum version of the turbo code, obtained from an interleaved serial quantum concatenation [2; Def. 30] of quantum convolutional codes.

Encoding

Encoders of codes with polynomial distance encoders yield catastrophic errors, but code with bounded distance admit non-catastrophic encoders.

Decoding

Turbo decoder [2; Sec. V].Modified decoder yield improvement over the memoryless depolarizing channel [3].

Parents

Cousins

References

[1]
H. Ollivier and J.-P. Tillich, “Trellises for stabilizer codes: Definition and uses”, Physical Review A 74, (2006) arXiv:quant-ph/0512041 DOI
[2]
D. Poulin, J.-P. Tillich, and H. Ollivier, “Quantum serial turbo-codes”, (2009) arXiv:0712.2888
[3]
M. M. Wilde, M.-H. Hsieh, and Z. Babar, “Entanglement-Assisted Quantum Turbo Codes”, IEEE Transactions on Information Theory 60, 1203 (2014) arXiv:1010.1256 DOI
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Zoo Code ID: quantum_turbo

Cite as:
“Quantum turbo code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_turbo
BibTeX:
@incollection{eczoo_quantum_turbo, title={Quantum turbo code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_turbo} }
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Permanent link:
https://errorcorrectionzoo.org/c/quantum_turbo

Cite as:

“Quantum turbo code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_turbo

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/convolutional/quantum_turbo.yml.