Hadamard BPSK c-q code[1] 

Description

Multimode coherent-state c-q code \(n\)-mode coherent states whose components \(\pm\alpha\) are arranged according to rows of a Hadamard matrix.

Rate

Using a joint-detection receiver, the code achieves the Holevo capacity of the lossy bosonic channel [1].

Parents

  • Coherent-state c-q code
  • Concatenated c-q code — The Hadamard BPSK c-q code can be thought of as a concatenation of the Hadamard binary linear code with BPSK for the purposes of transmission of classical information over quantum channels.

Child

Cousins

  • Hadamard code — The Hadamard BPSK c-q code can be thought of as a concatenation of the Hadamard binary linear code with BPSK for the purposes of transmission of classical information over quantum channels.
  • Binary PSK (BPSK) code — The Hadamard BPSK c-q code can be thought of as a concatenation of the Hadamard binary linear code with BPSK for the purposes of transmission of classical information over quantum channels.

References

[1]
S. Guha, “Structured Optical Receivers to Attain Superadditive Capacity and the Holevo Limit”, Physical Review Letters 106, (2011) arXiv:1101.1550 DOI
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Zoo Code ID: quantum_hadamard_bpsk

Cite as:
“Hadamard BPSK c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_hadamard_bpsk
BibTeX:
@incollection{eczoo_quantum_hadamard_bpsk, title={Hadamard BPSK c-q code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_hadamard_bpsk} }
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Cite as:

“Hadamard BPSK c-q code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_hadamard_bpsk

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical_into_quantum/oscillators/coherent_state/psk/quantum_hadamard_bpsk.yml.