Reducing unitary error in a quantum computation system

A system for reducing error when executing a quantum algorithm by modifying the quantum algorithm to a modified quantum algorithm to determine a result, the system comprising:

• a classical processing system including one or more processors;
• a non-transitory, computer-readable storage medium storing a computer program executable by the classical processing system to perform steps comprising:
• accessing, at random from a datastore of a classical computing system, a primary error reduction operation pair of a plurality of primary error reduction operation pairs associated with a primary quantum operation included in the quantum algorithm, the primary quantum operation producing a primary operation result, and each primary error reduction operation pair producing an equivalent operation result to the primary operation result when quantum operations of the primary error reduction operation pair are executed before and after the primary quantum operation;
• generating, using the classical computing system, the modified quantum algorithm, the modified quantum algorithm comprising:
• a first quantum operation of the primary error reduction operation pair executed before the primary quantum operation,
• a second quantum operation of the primary error reduction operation pair executed after the primary quantum operation, wherein:
• the first quantum operation, the primary quantum operation, and the second quantum operation executed in series produce the primary operation result;
• and
• a quantum processing system configured to execute the modified quantum algorithm on a quantum processor, wherein the modified quantum algorithm, when executed, determines the result of the quantum algorithm with less error than when the quantum algorithm is executed on the quantum processor.

A non-transitory computer-readable storage medium storing computer instructions for reducing error in a result of a quantum algorithm by modifying the quantum algorithm to a modified quantum algorithm to determine the result, the computer instructions, when executed by one or more processors, causing the one or more processors to:

• accessing, at random from a datastore of a classical computing system, a primary error reduction operation pair of a plurality of primary error reduction operation pairs associated with a primary quantum operation included in the quantum algorithm, the primary quantum operation producing a primary operation result, and each primary error reduction operation pair producing an equivalent operation result to the primary operation result when quantum operations of the primary error reduction operation pair are executed before and after the primary quantum operation;
• generating, using the classical computing system, the modified quantum algorithm, the modified quantum algorithm comprising:
• a first quantum operation of the primary error reduction operation pair executed before the primary quantum operation,
• a second quantum operation of the primary error reduction operation pair executed after the primary quantum operation, wherein:
• the first quantum operation, the primary quantum operation, and the second quantum operation executed in series produce the primary operation result;
• and
• executing, using the quantum processor of the quantum computing system, the modified quantum algorithm to determine the result.