Stable quantum memories with limited measurement

Author(s): Freeman, CD; Sarovar, M; Herdman, CM; Whaley, KB | Abstract: © 2018 American Physical Society. We demonstrate the existence of a finite temperature threshold for a one-dimensional stabilizer code under an error correcting protocol that requires only a fraction of the syndrome measurements. Below the threshold temperature, encoded states have exponentially long lifetimes, as demonstrated by numerical and analytical arguments. We sketch how this algorithm generalizes to higher-dimensional stabilizer codes with stringlike excitations, such as the toric code.