Noise-resilient phase estimation with randomized compiling

TL;DR

This paper introduces a noise-resilient quantum phase estimation method using randomized compiling to convert noise into a benign form, significantly reducing errors without extra quantum resources.

Contribution

It proves a theorem identifying noise types that do not affect phase estimation and demonstrates how randomized compiling can convert general noise into these benign types.

Findings

Reduces phase estimation errors by up to two orders of magnitude

Identifies noise channels that do not alter phase estimates

Enables more accurate quantum phase estimation without additional resources

Abstract

We develop an error mitigation method for the control-free phase estimation. We prove a theorem that under the first-order correction, the noise channels with only Hermitian Kraus operators do not change the phases of a unitary operator, and therefore, the benign types of noise for phase estimation are identified. By using the randomized compiling protocol, we can convert the generic noise in the phase estimation circuits into stochastic Pauli noise, which satisfies the condition of our theorem. Thus we achieve a noise-resilient phase estimation without any quantum resource overhead. The simulated experiments show that our method can significantly reduce the estimation error of the phases by up to two orders of magnitude. Our method paves the way for the utilization of quantum phase estimation before the advent of fault-tolerant quantum computers.