Quantum error-correcting codes associated with graphs
نویسندگان
چکیده
منابع مشابه
Quantum error-correcting codes associated with graphs
We present a construction scheme for quantum error correcting codes. The basic ingredients are a graph and a finite abelian group, from which the code can explicitly be obtained. We prove necessary and sufficient conditions for the graph such that the resulting code corrects a certain number of errors. This allows a simple verification of the 1-error correcting property of fivefold codes in any...
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Markus GRASSL received his diploma degree in Computer Science in 1994 and his doctoral degree in 2001, both from the Fakultät für Informatik, Universität Karlsruhe (TH), Germany. From 1994 to 2007 he was a member of the Institut für Algorithmen und Kognitive Systeme, Fakultät für Informatik, Universität Karlsruhe (TH), Germany. From 2007 to 2008 he was with the Institute for Quantum Optics and ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2001
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.65.012308