Experimental demonstration of cheap and accurate phase estimation

Abstract

We demonstrate experimental implementation of robust phase estimation (RPE) to learn the phases of X and Y rotations on a trapped ${\text{Yb}}^{+}$ ion qubit. We estimate these phases with uncertainties less than $4\cdot 10^{-4}$ radians using as few as 176 total experimental samples per phase, 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 cross-validate the results of RPE with the more resource-intensive protocol of gate set tomography.

9 pages, 7 figures

References in corpus (10)

• Randomized Benchmarking of Quantum Gates
• Robust randomized benchmarking of quantum processes
• Entanglement-free Heisenberg-limited phase estimation
• Noise tailoring for scalable quantum computation via randomized compiling
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Generalized Limits for Single-Parameter Quantum Estimation
• Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
• Full reconstruction of a 14-qubit state within four hours
• Errors and pseudo-thresholds for incoherent and coherent noise
• Robust and efficient in situ quantum control

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• Experimental Phase Estimation Enhanced By Machine Learning
• Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation
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• Probing quantum processor performance with pyGSTi
• Probing context-dependent errors in quantum processors
• Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
• Calibration of quantum sensors by neural networks
• Evaluating energy differences on a quantum computer with robust phase estimation
• Experimental quantum verification in the presence of temporally correlated noise
• On low-depth algorithms for quantum phase estimation
• Real-time calibration with spectator qubits
• Achieving Heisenberg scaling with maximally entangled states: an analytic upper bound for the attainable root mean square error
• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Operational, gauge-free quantum tomography
• Characterizing Coherent Errors using Matrix-Element Amplification
• Testing the Robustness of Robust Phase Estimation
• Consistency testing for robust phase estimation
• Micromotion minimization using Ramsey interferometry
• Testing accuracy of qubit rotations on a public quantum computer
• Adaptive filtering of projective quantum measurements using discrete stochastic methods
• Generalized phase estimation in noisy quantum gates
• Above 99.9% Fidelity Single-Qubit Gates, Two-Qubit Gates, and Readout in a Single Superconducting Quantum Device
• Towards Practical Quantum Phase Estimation: A Modular, Scalable, and Adaptive Approach