Graphs, Quadratic Forms, and Quantum Codes
| dc.creator | Grassl, Markus | |
| dc.creator | Klappenecker, Andreas | |
| dc.creator | Roetteler, Martin | |
| dc.date | 2007-03-13 | |
| dc.date.accessioned | 2026-07-07T13:17:20Z | |
| dc.date.available | 2026-07-07T13:17:20Z | |
| dc.description | 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. | |
| dc.description | 5 pages, 2 figures, paper presented at the 2002 IEEE International Symposium on Information Theory | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0703112 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0703112 | |
| dc.identifier | Proceedings 2002 IEEE International Symposium on Information Theory (ISIT 2002), Lausanne, Switzerland, June/July 2002, p. 45 | |
| dc.identifier | doi:10.1109/ISIT.2002.1023317 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231083 | |
| dc.subject | Quantum Physics | |
| dc.subject | Information Theory | |
| dc.title | Graphs, Quadratic Forms, and Quantum Codes | |
| dc.type | text |