Graphs, quadratic forms, and quantum codes Academic Article

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.

authors

• Klappenecker, Andreas

published proceedings

• ISIT: 2002 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS

author list (cited authors)

• Grassl, M., Klappenecker, A., & Rotteler, M.

citation count

• 41

complete list of authors

• Grassl, M||Klappenecker, A||Rotteler, M

publication date

• January 2002

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE International Symposium on Information Theory - Proceedings  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics
• 51 Physical Sciences
• 5108 Quantum Physics

Digital Object Identifier (DOI)

• 10.1109/ISIT.2002.1023317

start page

• 45

end page

• 45

volume

• abs/quant-ph/0703112

URL

• http://dx.doi.org/10.1109/isit.2002.1023317