Graphs, Quadratic Forms, and Quantum Codes

Details Graphs, Quadratic Forms, and Quantum Codes Graphs, Quadratic Forms, and Quantum Codes

2007-03-13

arxiv.org/abs/quant-ph/0703112v1

Proceedings 2002 IEEE International Symposium on Information Theory (ISIT 2002), Lausanne, Switzerland, June/July 2002, p. 45

Physics

Quantum Physics

5 pages, 2 figures, paper presented at the 2002 IEEE International Symposium on Information Theory

Scientific paper

10.1109/ISIT.2002.1023317

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. We
provide some simple examples to illustrate our results.

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