Non-Pauli observables for CWS codes

Authors:
Douglas F. Santiago;Renato Portugal;Nolmar Melo
Affiliations:
Universidade Federal dos Vales do Jequitinhonha e Mucuri, Diamantina, Brazil 39100000;Laboratório Nacional de Computação Científica, Petrópolis, Brazil 25651-075;Laboratório Nacional de Computação Científica, Petrópolis, Brazil 25651-075
Venue:
Quantum Information Processing
Year:
2013

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Abstract

It is known that nonadditive quantum codes can have higher code dimensions than stabilizer codes for the same length and minimum distance. The class of codeword stabilized codes (CWS) provides tools to obtain new nonadditive quantum codes by reducing the problem to finding nonlinear classical codes. In this work, we establish some results on the kind of non-Pauli operators that can be used as observables in the decoding scheme of CWS codes and propose a procedure to obtain those observables.