Graphs, Quadratic Forms, and Quantum Codes Academic Article uri icon

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.

author list (cited authors)

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

citation count

  • 32

publication date

  • January 2002

publisher