Qubit c-q code 

Root code for the Binary c-q Kingdom

Description

Qubit code designed for transmission of classical information in the form of bits through non-classical channels.

Protection

Performance of a linear binary code over a channel is dual to the performance of its dual over a particular dual channel [1].

Decoding

BP with quantum messages (BPQM) decoder [24].

Realizations

Quantum enhancement was demonstrated using a polarization-based non-error-correcting c-q encodings [5].

Parent

Child

Cousin

  • Qubit code — Qubit c-q codes are qubit codes designed to transmit classical information.

References

[1]
J. M. Renes, “Duality of Channels and Codes”, IEEE Transactions on Information Theory 64, 577 (2018) arXiv:1701.05583 DOI
[2]
S. Brandsen, A. Mandal, and H. D. Pfister, “Belief Propagation with Quantum Messages for Symmetric Classical-Quantum Channels”, (2022) arXiv:2207.04984
[3]
N. Rengaswamy et al., “Belief propagation with quantum messages for quantum-enhanced classical communications”, npj Quantum Information 7, (2021) arXiv:2003.04356 DOI
[4]
H. D. Pfister et al., “Belief Propagation for Classical and Quantum Systems: Overview and Recent Results”, IEEE BITS the Information Theory Magazine 1 (2023) DOI
[5]
R. J. Chapman et al., “Beating the classical limits of information transmission using a quantum decoder”, Physical Review A 97, (2018) arXiv:1704.07036 DOI
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Zoo Code ID: qubit_classical_into_quantum

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

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

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