Quantum error correcting codes and one-way quantum computing: Towards a quantum memory

摘要

For realizing a quantum memory we suggest to first encode quantum informationvia a quantum error correcting code and then concatenate combined decoding andre-encoding operations. This requires that the encoding and the decodingoperation can be performed faster than the typical decoherence time of theunderlying system. The computational model underlying the one-way quantumcomputer, which has been introduced by Hans Briegel and Robert Raussendorf,provides a suitable concept for a fast implementation of quantum errorcorrecting codes. It is shown explicitly in this article is how encoding anddecoding operations for stabilizer codes can be realized on a one-way quantumcomputer. This is based on the graph code representation for stabilizer codes,on the one hand, and the relation between cluster states and graph codes, onthe other hand.