57 citations · 105 across the 3 of their papers we have counts for
3 papers
quant-ph2005★ 48 cited
Constructions and performance of classes of quantum LDPC codes
T. Camara, H. Ollivier, J. -P. Tillich
Two methods for constructing quantum LDPC codes are presented. We explain how to overcome the difficulty of finding a set of low weight generators for the stabilizer group of the c…
cs.DM2004
Calculus on Graphs
Joel Friedman, Jean-Pierre Tillich
The purpose of this paper is to develop a "calculus" on graphs that allows graph theory to have new connections to analysis. For example, our framework gives rise to many new parti…
quant-ph2004★ 57 cited
Quantum convolutional codes: fundamentals
H. Ollivier, J. -P. Tillich
We describe the theory of quantum convolutional error correcting codes. These codes are aimed at protecting a flow of quantum information over long distance communication. They are…