Noise-resilient phase estimation with randomized compiling

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.

5 pages 4 figures, with the appendix; final version for publication

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Cited by in corpus (13)

• Quantum Error Mitigation
• Demonstrating Bayesian Quantum Phase Estimation with Quantum Error Detection
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips
• Optimizing the information extracted by a single qubit measurement
• Benchmarking universal quantum gates via channel spectrum
• Algorithmic Shadow Spectroscopy
• Quantum error mitigation for Fourier moment computation
• Probing spectral features of quantum many-body systems with quantum simulators
• Error mitigation and circuit division for early fault-tolerant quantum phase estimation
• Estimating Coherent Contributions to the Error Profile Using Cycle Error Reconstruction
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Corrupted sensing quantum state tomography
• Fluctuation-guided adaptive random compiler for Hamiltonian simulation