Implementation of error mitigation for quantum computing machines

Abstract

One or more time correlations of noise within a quantum computing circuit of a quantum processor are determined. The quantum computing circuit includes one or more qubits. A coherence time for each qubit is determined, and one or more stretch factors are determined based upon the time correlations of the noise and the coherence times. A first loop is initialized that performs for each of the stretch factors: initializing the qubits to a ground state, executing the quantum computing circuit with a the stretch factor, performing one or more single-qubit post-rotations associated with one or more expectation values, measuring a state of each qubit to determine the one or more expectation values of interest, and resetting each qubit to the ground state. A mitigated estimate is determined for the expectation values based upon an extrapolation of the expectation values determined for each stretch factor.