Error-tolerant syndrome extraction and decoding in bacon-shore quantum error correction

摘要

Systems and methods for quantum error correction are provided. The quantum system includes an array of qubits configured to store an item of quantum information. The array of qubits includes a plurality of data qubits and a plurality of measurement qubits configured to extract a syndrome expressing a match between the plurality of data qubits. The quantum system stores verification logic configured to determine whether the syndrome is valid, decoding logic configured to determine and evaluate the syndrome to determine the location of errors within a plurality of data qubits, and stores the determined locations of errors It further comprises an integrated circuit comprising an error register configured to.