Description
A quantum version of the turbo code, obtained from an interleaved serial quantum concatenation [2; Def. 30] of quantum convolutional codes. The interleaver induces long-range entanglement and can increase the minimum distance relative to the constituent convolutional codes [3].Encoding
Encoders of codes with polynomial distance yield catastrophic errors, but codes with bounded distance admit non-catastrophic encoders.Decoding
Turbo decoder [2; Sec. V].Modified decoder yields improvement over the memoryless depolarizing channel [4].Iterative decoding is analogous to a mean-field treatment of two matrix-product-state chains coupled by random non-local interactions [3].EXIT charts [5].Cousins
- Turbo code— Quantum turbo codes are quantum analogues of turbo codes.
- EA quantum turbo code— EA quantum turbo codes are entanglement-assisted versions of quantum turbo codes.
Primary Hierarchy
Parents
Quantum turbo code
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]
- A. J. Ferris and D. Poulin, “Tensor Networks and Quantum Error Correction”, Physical Review Letters 113, (2014) arXiv:1312.4578 DOI
- [4]
- 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
- [5]
- Z. Babar, S. X. Ng, and L. Hanzo, “EXIT-Chart-Aided Near-Capacity Quantum Turbo Code Design”, IEEE Transactions on Vehicular Technology 64, 866 (2015) arXiv:1502.00910 DOI
Page edit log
- Victor V. Albert (2023-05-06) — most recent
Cite as:
“Quantum turbo code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_turbo