Method and system for compiling bare quantum-logic circuits

A system, comprising:

• a quantum information processor;
• and
• one or more data processors configured to perform operations comprising:
• receiving a bare quantum-logic circuit comprising a plurality of encoded operations and a plurality of syndrome measurements, wherein each encoded operation and each syndrome measurement may be associated with an input quantum error correcting code (QECC) and/or an output QECC;
• interleaving a plurality of random stabilizers respectively paired with a plurality of random operations between adjacent encoded operations, between adjacent syndrome measurements, and/or between adjacent encoded operations and syndrome measurements, respectively, to provide one or more modified quantum-logic circuits that are logically equivalent to the bare quantum-logic circuit;
• and
• output the one or more modified quantum-logic circuits,
• wherein the quantum information processor is configured to receive and execute the one or more modified quantum-logic circuits output by the one or more data processors to obtain a noise-tailored outcome having reduced coherent and non-unital logical noise.

A method of tailoring noise in quantum computations, the method comprising:

• receiving a bare quantum-logic circuit comprising a plurality of encoded operations and a plurality of syndrome measurements, wherein the plurality of encoded operations comprise corresponding encoded state resets, encoded unitary operations, and/or encoded measurements of logical operations, and wherein each encoded operation and each syndrome measurement may be associated with an input quantum error correcting code (QECC) and/or an output QECC;
• generating, by operation of a data processor, one or more modified quantum-logic circuits that are logically equivalent to the bare quantum-logic circuit, wherein generating the one or more modified quantum-logic circuits comprises interleaving a plurality of random stabilizers paired with a plurality of random operations between adjacent encoded operations of the plurality of encoded operations, between adjacent syndrome measurements of the plurality of syndrome measurements, and/or between adjacent encoded operations and syndrome measurements, respectively;
• executing the one or more modified quantum-logic circuits on a quantum information processor or a simulator of a quantum information processor to obtain a plurality of outcomes;
• and
• averaging the outcomes to obtain a noise-tailored outcome, wherein:
• for at least one of the encoded state resets, interleaving the plurality of random stabilizers comprises applying a random stabilizer after the encoded state reset;
• for at least one of the encoded unitary operations, interleaving the plurality of random stabilizers comprises applying a first random stabilizer paired with a first random operation, providing an interim operation, before the encoded unitary operation, and applying a second random stabilizer paired with the interim operation after the encoded unitary operation;
• and
• for at least one of the encoded measurements, interleaving the plurality of random stabilizers comprises applying a random stabilizer paired with a random operation before the encoded measurement.