Construction of[[n,n−4,3]]qquantum codes for odd prime powerq
نویسندگان
چکیده
منابع مشابه
Construction of [[n,n − 4,3]]q quantum codes for odd prime power q
The theory of quantum error-correcting codes (QECCs, for short) has been exhaustively studied in the literature; see [1–8]. The most widely studied class of quantum codes are binary quantum stabilizer codes. A thorough discussion on the principles of quantum coding theory was given in [3] and [4] for binary quantum stabilizer codes. An appealing aspect of binary quantum codes is that there exis...
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For each odd prime power q, let 4 ≤ n ≤ q2 + 1. Hermitian self-orthogonal [n, 2, n − 1] codes over GF (q2) with dual distance three are constructed by using finite field theory. Hence, [[n,n − 4, 3]]q quantum MDS codes for 4 ≤ n ≤ q2 + 1 are obtained.
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2010
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.82.052316