Quantum Margulis Codes
Michele Pacenti, Bane Vasic
Recently, Lin and Pryadko presented the quantum two-block group algebra codes, a generalization of bicycle codes obtained from Cayley graphs of non-Abelian groups. We notice that their construction is naturally suitable to obtain a quantum equivalent of the well-known classical Margulis code. In this paper, we first present an alternative description of the two-block group algebra codes using the left-right Cayley complex; then, we show how to modify the construction of Margulis to get a two-block algebra code. Finally, we construct several quantum Margulis codes and evaluate their performance with numerical simulations.
CQN Authors
Bane Vasic
Professor of Electrical and Computer Engineering Professor of Mathematics Professor, Applied Mathematics - GIDP Professor, BIO5 Institute
University of Arizona, Electrical and Computer Engineering