A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
In all cases, we plot the logical error rate and total error rate as functions of the physical error rate
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Fault-tolerant syndrome extraction in [[n,1,3]] non-CSS code family generated using measurements on graph states
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.