Constructios of l-adic t-deletion-correcting quantum codes

Abstract

SUMMARY We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension ‘ , which is re- ferred to as ‘ -adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one cor- rects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement