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.
We count the syn- dromes in terms of the weight of stabilizers when a single Pauli error occurs on the ancilla qubit during syndrome measurement
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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.