Dear Sirs, Please find the list of corrections on the proof Auther-Proof-AY10115 bellow and the proof of the Manuscript ID 015703PRA. Yours sincerely, ==================================================== Yuma Kinoshita Email:
[email protected] Tel: +81-6-6850-6447, Fax: +81-6-6850-6447 Division of Material Physics, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka 560-8531, JAPAN ==================================================== %%%%%%%%%%%% pp.2 left column Sec.II %%%%%%%%%%%% ① In the third paragraph (line 3), `` which we formally define as follows: State ordering change. A local quantum channel ・・・ '' to be ``which we formally define as follows. State ordering change. A local quantum channel ・・・ ''.