Description
EA qubit stabilizer code for which the number of sites participating in each stabilizer generator and the number of stabilizer generators that each site participates in are both bounded by a constant \(w\) as \(n\to\infty\)
Encoding
Encoder adapted for an all-optical impelementation [1].
Decoding
Decoder adapted for an all-optical impelementation [1].
Notes
Review of EA QLDPC codes provided in Ref. [2].
Parent
Children
Cousins
- Quantum LDPC (QLDPC) code
- Low-density parity-check (LDPC) code — There exist necessary and sufficient conditions for an EA QLDPC code consuming \(e=1\) ebit that is obtainable from a pair of LDPC codes [3].
References
- [1]
- I. B. Djordjevic, “Photonic entanglement-assisted quantum low-density parity-check encoders and decoders”, Optics Letters 35, 1464 (2010) DOI
- [2]
- Z. Babar, P. Botsinis, D. Alanis, S. X. Ng, and L. Hanzo, “Fifteen Years of Quantum LDPC Coding and Improved Decoding Strategies”, IEEE Access 3, 2492 (2015) DOI
- [3]
- Y. Fujiwara and V. D. Tonchev, “A Characterization of Entanglement-Assisted Quantum Low-Density Parity-Check Codes”, IEEE Transactions on Information Theory 59, 3347 (2013) arXiv:1108.0679 DOI
Page edit log
- Victor V. Albert (2024-07-04) — most recent
Cite as:
“EA QLDPC code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/ea_qldpc