Polar c-q code[1,2] 

Description

Polar code adapted to transmit classical information over channels with classical inputs and quantum outputs.

Rate

Codes achieve the symmetric Holevo information for sending classical information over any quantum channel.

Decoding

Quantum-limited successive-cancellation (SC) joint-detection receiver [1].

Parent

Cousins

  • Polar code — Quantum-classical polar codes generalize polar codes for transmission through channels with quantum output.
  • Binary PSK (BPSK) code — BPSK concatenated with quantum-classical polar codes achieves the Holevo capacity for the pure-loss channel [3].

References

[1]
M. M. Wilde and S. Guha, “Polar Codes for Classical-Quantum Channels”, IEEE Transactions on Information Theory 59, 1175 (2013) arXiv:1109.2591 DOI
[2]
R. Nasser and J. M. Renes, “Polar Codes for Arbitrary Classical-Quantum Channels and Arbitrary cq-MACs”, IEEE Transactions on Information Theory 64, 7424 (2018) arXiv:1701.03397 DOI
[3]
S. Guha and M. M. Wilde, “Polar coding to achieve the Holevo capacity of a pure-loss optical channel”, 2012 IEEE International Symposium on Information Theory Proceedings (2012) arXiv:1202.0533 DOI
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Zoo Code ID: polar_for_quantum

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

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical_into_quantum/qubits/polar_for_quantum.yml.