Fault-tolerant syndrome extraction can be compressed from r stabilizer measurements to O(d log r) by combining stabilizer generators through the parity check matrix of a classical code.
Lidar,Quantum Error Correction(Cambridge Uni- versity Press, 2013)
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Compressing Syndrome Measurement Sequences
Fault-tolerant syndrome extraction can be compressed from r stabilizer measurements to O(d log r) by combining stabilizer generators through the parity check matrix of a classical code.