Optimal Single-Shot Decoding of Quantum Codes

Autor:	Cumitini, Aldo, Tinelli, Stefano, Matuz, Balázs, Lázaro, Francisco, Barletta, Luca
Rok vydání:	2023
Předmět:	Quantum Physics Computer Science - Information Theory 68P30
Druh dokumentu:	Working Paper
Popis:	We discuss single-shot decoding of quantum Calderbank-Shor-Steane codes with faulty syndrome measurements. We state the problem as a joint source-channel coding problem. By adding redundant rows to the code's parity-check matrix we obtain an additional syndrome error correcting code which addresses faulty syndrome measurements. Thereby, the redundant rows are chosen to obtain good syndrome error correcting capabilities while keeping the stabilizer weights low. Optimal joint decoding rules are derived which, though too complex for general codes, can be evaluated for short quantum codes. Comment: 6 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.18138 Zobrazit plný text záznamu View this record from Arxiv