Details

Autor(en) / Beteiligte

• Albuquerque, C. D.
• Palazzo, R.
• Silva, E. B.

Titel

Topological quantum codes on compact surfaces with genus g ≥ 2

Ist Teil von

• Journal of mathematical physics, 2009-02, Vol.50 (2), p.023513-023513-20

Ort / Verlag

Melville, NY: American Institute of Physics

Erscheinungsjahr

2009

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we propose a construction procedure of a class of topological quantum error-correcting codes on surfaces with genus g ≥ 2 . This generalizes the toric codes construction. We also tabulate all possible surface codes with genus 2–5. In particular, this construction reproduces the class of codes obtained when considering the embedding of complete graphs K s , for s ≡ 1   mod   4 , on surfaces with appropriate genus. We also show a table comparing the rate of different codes when fixing the distance to 3–5.