A Note on Quantum Hamming Bound

Details A Note on Quantum Hamming Bound A Note on Quantum Hamming Bound

2007-11-29

arxiv.org/abs/0711.4603v1

Physics

Quantum Physics

Scientific paper

Proving the quantum Hamming bound for degenerate nonbinary stabilizer codes
has been an open problem for a decade. In this note, I prove this bound for
double error-correcting degenerate stabilizer codes. Also, I compute the
maximum length of single and double error-correcting MDS stabilizer codes over
finite fields.

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