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arXiv:quant-ph/0703112 · IEEE International Symposium on Information Theory (ISIT)

Graphs, quadratic forms, and quantum codes

Markus Grassl, Andreas Klappenecker, Martin Rötteler

Published Jun 25, 2003• 88 citations
arXivHTMLPDF

Abstract

We show that any stabilizer code over a finite field is equivalent to a graphical quantum code. Furthermore we prove that a graphical quantum code over a finite field is a stabilizer code. The technique used in the proof establishes a new connection between quantum codes and quadratic forms.
DOI
10.1109/isit.2002.1023317

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