Constructions of ℓ-Adic t-Deletion-Correcting Quantum Codes
Ryutaroh Matsumoto, Manabu Hagiwara · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2021
We propose two systematic constructions of deletioncorrecting codes for protecting quantum inforomation.The first one works with qudits of any dimension ℓ, which is referred to as ℓ-adic, but only one deletion is corrected and the constructed codes are asymptotically bad.The second one corrects 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 assistance.