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Consistency testing for robust phase estimation

Journal Article · · Physical Review A
In this work, we present an extension to the robust phase estimation protocol, which can identify incorrect results that would otherwise lie outside the expected statistical range. Robust phase estimation is increasingly a method of choice for applications such as estimating the effective process parameters of noisy hardware, but its robustness is dependent on the noise satisfying certain threshold assumptions. We provide consistency checks that can indicate when those thresholds have been violated, which can be difficult or impossible to test directly. We test these consistency checks for several common noise models, and identify two possible checks with high accuracy in locating the point in a robust phase estimation run at which further estimates should not be trusted. One of these checks may be chosen based on resource availability, or they can be used together in order to provide additional verification.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525
OSTI ID:
1828026
Report Number(s):
SAND--2021-5437J; 695995
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 103; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (18)

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Iterative quantum amplitude estimation journal March 2021
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Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements journal July 2009
Errors in quantum tomography: diagnosing systematic versus statistical errors journal March 2013
Distinguishing between statistical and systematic errors in quantum process tomography journal January 2019
Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments journal February 2019
Optimizing quantum phase estimation for the simulation of Hamiltonian eigenstates journal August 2020
Testing the robustness of robust phase estimation journal November 2019
Achieving Heisenberg scaling with maximally entangled states: An analytic upper bound for the attainable root-mean-square error journal October 2020
Robust calibration of a universal single-qubit gate set via robust phase estimation journal December 2015
Cross-Validated Tomography journal September 2013
Efficient Bayesian Phase Estimation journal June 2016
Experimental Bayesian Quantum Phase Estimation on a Silicon Photonic Chip journal March 2017
Experimental Demonstration of a Cheap and Accurate Phase Estimation journal May 2017
Semiclassical Fourier Transform for Quantum Computation journal April 1996
Scalable Quantum Simulation of Molecular Energies journal July 2016

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