4.5 Article

Quantum codes [[6,2,3]]p and [[7,3,3]]p (p ≥ 3) exist

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 48, Issue 8, Pages 2384-2391

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2002.800469

Keywords

nonbinary quantum codes; quantum stabilizer codes

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We prove that nonbinary quantum stabilizer codes with parameters [[n, k, d]](p) = [[6, 2, 3]](p) and [[7, 3, 3]](p) exist for all odd primes p by using graph machinary, given by Schlingemann and Werner, with a little number theory and combinatorics.

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