Hadamard BPSK c-q code[1]
Description
Multimode coherent-state c-q code that is a concatenation of a Hadamard code with a BPSK c-q code. Its codewords are \(n\)-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
Page edit log
- Victor V. Albert (2023-05-31) — most recent
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