Emergent Mind
Graphs, Quadratic Forms, and Quantum Codes
(0703112)
Published Mar 13, 2007
in
quant-ph
,
cs.IT
,
math.IT
,
and
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. We provide some simple examples to illustrate our results.
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