Quantum error mitigation based on the <i>Z</i> -mixed-expression of the amplitude damping channel

Abstract In the field of quantum error mitigation, most current research separately addresses quantum gate noise mitigation and measurement noise mitigation. However, due to the typically high complexity of measurement noise mitigation methods, such as those based on estimating response matrices, the overall complexity of noise mitigation schemes increases when combining measurement noise mitigation with other quantum gate noise mitigation approaches. This paper proposes a low-complexity quantum error mitigation scheme that jointly mitigates quantum gate and measurement noise, specifically when measurement noise manifests as an amplitude damping channel. The proposed scheme requires estimating only three parameters to jointly mitigate both types of noise, whereas the zero-noise extrapolation method enhanced by response matrix estimation requires estimating at least six parameters under the same conditions.