Graphs, Quadratic Forms, and Quantum Codes

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

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Quantum Physics, Information Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/231083

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0703112
 http://arxiv.org/abs/quant-ph/0703112
 Proceedings 2002 IEEE International Symposium on Information Theory (ISIT 2002), Lausanne, Switzerland, June/July 2002, p. 45
 doi:10.1109/ISIT.2002.1023317

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arXiv