Merge pull request #39 from Fe-r-oz/dev1

add references for product codes

Author: esabo

docs/make.jl

@@ -1,6 +1,6 @@
 using DocumenterCitations, Documenter, CodingTheory
 
-bib = CitationBibliography(joinpath(@__DIR__, "src", "refs.bib"); style = :numeric)
+bib = CitationBibliography(joinpath(@__DIR__, "src", "references.bib"); style = :numeric)
 
 Documenter.makedocs(;
 	plugins=[bib],

docs/src/Quantum/product_codes.md

@@ -1,20 +1,11 @@
 # Product Codes
 
-# Notes
-* The hypergraph product is defined in "J. Tillich, G. Zémor. Quantum LDPC codes
-  with positive rate and minimum distance proportional to n^(1/2). (2013)
-  arXiv:0903.0566v2"
-* The generalized Shor code is defined in "D. Bacon and A. Casaccino. Quantum
-  error correcting subsystem codes from two classical linear codes. (2006)
-  http://arxiv.org/abs/quant-ph/0610088"
-* Hyperbicycle codes are found in "Quantum ``hyperbicycle'' low-density parity check
-  codes with finite rate" and "Quantum Kronecker sum-product low-density parity-check
-  codes with finite rate".
-* Generealized bicycle codes are are found in "Quantum ``hyperbicycle'' low-density parity check
-  codes with finite rate", "Quantum kronecker sum-product low-density parity- check codes with
-  finite rate", and "Degenerate Quantum LDPC Codes With Good Finite Length Performance".
-* The generalized hypergraph product is defined in "Degenerate Quantum LDPC Codes With Good Finite Length Performance".
-* The bias-tailored lifted product is defined in "Bias-tailored quantum LDPC codes".
+- Hypergraph product: [tillich2009quantum](@cite)
+- Generalized Shor: [bacon2006quantum](@cite)
+- Hyperbicycle: [pryadko2013quantum](@cite)
+- Generealized bicycle: [pryadko2013quantum](@cite), [kovalev2013quantum](@cite), [kovalev1212quantum](@cite), [panteleev2021degenerate](@cite)
+- Generalized hypergraph product: [panteleev2021degenerate](@cite)
+- Bias-tailored lifted product: [roffe2023bias](@cite)
 
 
 ```@autodocs

docs/src/Quantum/quantum_code.md

@@ -1,5 +1,5 @@
 * `char_vec`: a length `2n` vector with elements in the `Z/(2p)` if
-  `chracteristic(field(C1))` is 2 and `Z/(p)` otherwise. The first `n` elements
+  `characteristic(field(C1))` is 2 and `Z/(p)` otherwise. The first `n` elements
   specify the exponents of the `X` phases and second `n` the exponents of the
   `Z` phases; a missing argument will be set to the all-zero vector
 

docs/src/refs.bib renamed to docs/src/references.bib

@@ -111,3 +111,65 @@ @misc{Vasmer_2020
   author={Vasmer, Michael},
   year={2020}
 }
+
+% Product Codes
+
+@article{bacon2006quantum,
+  title={Quantum error correcting subsystem codes from two classical linear codes},
+  author={Bacon, Dave and Casaccino, Andrea},
+  journal={arXiv preprint quant-ph/0610088},
+  year={2006}
+}
+
+@inproceedings{tillich2009quantum,
+  title={Quantum LDPC codes with positive rate and minimum distance proportional to n $1/2$},
+  author={Tillich, J-P and Zemor, G},
+  booktitle={2009 IEEE International Symposium on Information Theory}
+}
+
+@inproceedings{pryadko2013quantum,
+  title={Quantum``hyperbicycle''low-stabilizer-weight finite-rate error correction codes},
+  author={Pryadko, Leonid P and Kovalev, Alexey A},
+  booktitle={APS March Meeting Abstracts},
+  volume={2013},
+  pages={M27--008},
+  year={2013}
+}
+
+@article{kovalev2013quantum,
+  title={Quantum Kronecker sum-product low-density parity-check codes with finite rate},
+  author={Kovalev, Alexey A and Pryadko, Leonid P},
+  journal={Physical Review A—Atomic, Molecular, and Optical Physics},
+  volume={88},
+  number={1},
+  pages={012311},
+  year={2013},
+  publisher={APS}
+}
+
+@article{kovalev1212quantum,
+  title={Quantum “hyperbicycle” low density parity check codes with finite rate},
+  author={Kovalev, AA and Pryadko, LP},
+  journal={arXiv},
+  volume={1212}
+}
+
+@article{panteleev2021degenerate,
+  title={Degenerate quantum LDPC codes with good finite length performance},
+  author={Panteleev, Pavel and Kalachev, Gleb},
+  journal={Quantum},
+  volume={5},
+  pages={585},
+  year={2021},
+  publisher={Verein zur F{\"o}rderung des Open Access Publizierens in den Quantenwissenschaften}
+}
+
+@article{roffe2023bias,
+  title={Bias-tailored quantum LDPC codes},
+  author={Roffe, Joschka and Cohen, Lawrence Z and Quintavalle, Armanda O and Chandra, Daryus and Campbell, Earl T},
+  journal={Quantum},
+  volume={7},
+  pages={1005},
+  year={2023},
+  publisher={Verein zur F{\"o}rderung des Open Access Publizierens in den Quantenwissenschaften}
+}