Bacon-Shor code with continuous measurement of non-commuting observables
Abstract: In this talk I will discuss the continuous operation of the four-qubit Bacon-Shor code ([[4,1,2]]), where the non-commuting gauge operators are measured weakly and at the same time . I will show how error syndromes in this case are defined in terms of time-averaged correlators of the measurement output signals. I will also present results for the logical error rate and the termination rate for this quantum error detecting code for several models of decoherence. Finally, I will answer the question whether the code operation with continuous measurements can be comparable in performance with the operation based on projective measurements.
 Juan Atalaya, Mohammad Bahrami, Leonid P. Pryadko, and Alexander N. Korotkov, PRA 95, 032317 (2017)