Experimental Demonstration of a Cheap and Accurate Phase Estimation

Rudinger, Kenneth; Kimmel, Shelby; Lobser, Daniel; Maunz, Peter

doi:10.1103/PhysRevLett.118.190502

Experimental Demonstration of a Cheap and Accurate Phase Estimation

Journal Article · 11 May 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.118.190502· OSTI ID:1361649

Rudinger, Kenneth ^[1]; Kimmel, Shelby ^[2]; Lobser, Daniel ^[3]; Maunz, Peter ^[3]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research
Univ. of Maryland, College Park, MD (United States). Joint Center for Quantum Information and Computer Science (QuICS)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

We demonstrate an experimental implementation of robust phase estimation (RPE) to learn the phase of a single-qubit rotation on a trapped Yb⁺ ion qubit. Here, we show this phase can be estimated with an uncertainty below 4 × 10^-4 rad using as few as 176 total experimental samples, and our estimates exhibit Heisenberg scaling. Unlike standard phase estimation protocols, RPE neither assumes perfect state preparation and measurement, nor requires access to ancillae. We crossvalidate the results of RPE with the more resource-intensive protocol of gate set tomography.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: US Army Research Office (ARO); USDOD; USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1361649

Alternate ID(s):: OSTI ID: 1356741
OSTI ID: 1425566

Report Number(s):: SAND-2017-0108J; 650211

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 118; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Real-time calibration with spectator qubits Majumder, Swarnadeep; Andreta de Castro, Leonardo; Brown, Kenneth R. npj Quantum Information, Vol. 6, Issue 1 https://doi.org/10.1038/s41534-020-0251-y	journal	February 2020
Trapped-ion quantum computing: Progress and challenges Bruzewicz, Colin D.; Chiaverini, John; McConnell, Robert Applied Physics Reviews, Vol. 6, Issue 2 https://doi.org/10.1063/1.5088164	journal	June 2019
Heisenberg-scaling measurement protocol for analytic functions with quantum sensor networks Qian, Kevin; Eldredge, Zachary; Ge, Wenchao Physical Review A, Vol. 100, Issue 4 https://doi.org/10.1103/physreva.100.042304	journal	October 2019
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Experimental Phase Estimation Enhanced By Machine Learning Lumino, Alessandro; Polino, Emanuele; Rab, Adil S. arXiv https://doi.org/10.48550/arxiv.1712.07570	text	January 2017
Direct randomized benchmarking for multi-qubit devices Proctor, Timothy J.; Carignan-Dugas, Arnaud; Rudinger, Kenneth arXiv https://doi.org/10.48550/arxiv.1807.07975	text	January 2018
Heisenberg-Scaling Measurement Protocol for Analytic Functions with Quantum Sensor Networks Qian, Kevin; Eldredge, Zachary; Ge, Wenchao arXiv https://doi.org/10.48550/arxiv.1901.09042	text	January 2019
Real-time calibration with spectator qubits Majumder, Swarnadeep; de Castro, Leonardo Andreta; Brown, Kenneth R. arXiv https://doi.org/10.48550/arxiv.1907.03864	text	January 2019

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