Quantum error correction via codes over GF(4)

19981,755 citationsJournal Article

Authors

A.R. Calderbank · AT&T (United States)

Eric M. Rains · AT&T (United States)

Peter Shor · AT&T (United States)

N. J. A. Sloane · AT&T (United States)

Abstract

The problem of finding quantum error correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.

Topics & Keywords

Coding theory and cryptography Quantum Computing Algorithms and Architecture Quantum-Dot Cellular Automata

Publication Details

Published in: IEEE Transactions on Information Theory

Volume 44, Issue 4, pp. 1369-1387

DOI: 10.1109/18.681315

Field-Weighted Citation Impact: 35.78

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Quantum error correction via codes over GF(4)

Authors

Abstract

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Publication Details