量子編碼的數學性質與建構

Abstract

本論文以傳統糾錯碼的觀點來看量子糾錯碼。我們亦將介紹文獻中所提及之量子糾錯碼的構造與刻劃，最後給出一種與圖有關的量子糾錯碼的建構方法，其擴充文獻中排除二元情形的方法，能適用所有情形。

This thesis introduces about the quantum error correcting codes in the viewpoint of classical error correcting codes. We also introduce some construction and characterization of quantum error correcting codes. Thereafter, we give a construction of quantum error correcting codes associated with graphs, which generalizes a previous result that excludes the binary case so that it is valid for all cases.