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- W2246393438 abstract "The goal of this paper is to provide a self contained detailed and rigorous mathematical introduction to some aspects of the quantum error-correcting codes and especially quantum stabilizer codes without venturing much, if at all, into the world of physics. While most of the results presented are not new, it is not easy to extract a precise mathematical formulation of results and to provide their rigorous proofs by reading the vast number of papers in the field, quite a few of which are written by computer scientists or physicists. It is this formulation and proofs - quite a few of of them new - that we present here. The connections between (a) quantum stabilizer codes and classical self-orthogonal codes and (b) between error correction and error detection have been established in details. Techniques from algebra of finite fields as well as representations of finite abelian groups have been employed here." @default.
- W2246393438 created "2016-06-24" @default.
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- W2246393438 date "2015-01-01" @default.
- W2246393438 modified "2023-09-26" @default.
- W2246393438 title "QUANTUM ERROR CORRECTION AND STABILIZER CODES" @default.
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