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Linear-Size Ancilla Systems for Logical Measurements in QLDPC Codes

Linear-Size Ancilla Systems for Logical Measurements in QLDPC Codes

We show how to perform all logical Clifford gates on the [[144,12,12]] bivariate bicycle code, also known as the gross code. The scheme adds about 100 ancilla qubits into the connectivity graph, and one of the twelve logical qubits is sacrificed for gate synthesis. Logical measurements are combined with the …