Title :
Formula of channel matrix for coded quantum signals by classical linear codes over Zm
Author :
Ota, Masaki ; Kumazawa, Hideyuki ; Shiromoto, Keisuke ; Usuda, Tsuyoshi Sasaki
Author_Institution :
Sch. of Inf. Sci. & Technol., Aichi Prefectural Univ., Nagakute, Japan
Abstract :
A formula of channel matrix for linear codes over Zm is presented. m-ary PSK coherent-states are used as letter states and the square-root measurement (SRM) is used as a decoding. First, arbitrary linear codes over Zm are shown to group covariant. Then the formula of channel matrix is derived by generalizing [T.S. Usuda, S. Usami, I. Takumi, and M. Hata, Phys. Lett. A305, pp.125-134, (2002)]. Furthermore, the usefulness of the formula is considered.
Keywords :
decoding; linear codes; matrix algebra; phase shift keying; channel matrix; classical linear codes; coded quantum signals; decoding; group covariant; m-ary PSK coherent-states; square-root measurement; Covariance matrix; Generators; Linear code; Mutual information; Phase shift keying; Polynomials;
Conference_Titel :
Information Theory and its Applications (ISITA), 2010 International Symposium on
Conference_Location :
Taichung
Print_ISBN :
978-1-4244-6016-8
Electronic_ISBN :
978-1-4244-6017-5
DOI :
10.1109/ISITA.2010.5649495