منابع مشابه
Nonbinary quantum stabilizer codes
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over F4 and binary quantum codes to one between selforthogonal codes over Fq2 and q-ary quantum codes for any prime power q. Index Terms — quantum stabilizer codes, nonbinary quantum codes, selforthogonal codes.
متن کاملNonbinary Stabilizer Codes
Recently, the field of quantum error-correcting codes has rapidly emerged as an important discipline. As quantum information is extremely sensitive to noise, it seems unlikely that any large scale quantum computation is feasible without quantum error-correction. In
متن کاملNonbinary quantum codes
We present several results on quantum codes over general alphabets (that is, in which the fundamental units may have more than 2 states). In particular, we consider codes derived from finite symplectic geometry assumed to have additional global symmetries. From this standpoint, the analogues of Calderbank-Shor-Steane codes and of GF(4)-linear codes turn out to be special cases of the same const...
متن کاملQuantum Stabilizer Codes and Classical Linear Codes
We show that within any quantum stabilizer code there lurks a classical binary linear code with similar error-correcting capabilities, thereby demonstrating new connections between quantum codes and classical codes. Using this result—which applies to degenerate as well as nondegenerate codes— previously established necessary conditions for classical linear codes can be easily translated into ne...
متن کاملConstructions of New Nonbinary Quantum Codes∗
Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q ≡ 1 (mod 4). The later one is a quantum maximal-distance-separable (MDS) code. Compared the parameters of our quantum MDS codes with the parameter...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2001
ISSN: 0018-9448
DOI: 10.1109/18.959288