Optimal low-depth quantum signal-processing phase estimation

Yulong Dong (), Jonathan A. Gross and Murphy Yuezhen Niu ()
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Yulong Dong: Venice
Jonathan A. Gross: Venice
Murphy Yuezhen Niu: Venice

Nature Communications, 2025, vol. 16, issue 1, 1-9

Abstract: Abstract Quantum effects like entanglement and coherent amplification can be used to drastically enhance the accuracy of quantum parameter estimation beyond classical limits. However, challenges such as decoherence and time-dependent errors hinder Heisenberg-limited amplification. We introduce Quantum Signal-Processing Phase Estimation algorithms that are robust against these challenges and achieve optimal performance as dictated by the Cramér-Rao bound. These algorithms use quantum signal transformation to decouple interdependent phase parameters into largely orthogonal ones, ensuring that time-dependent errors in one do not compromise the accuracy of learning the other. Combining provably optimal classical estimation with near-optimal quantum circuit design, our approach achieves a standard deviation accuracy of 10−4 radians for estimating unwanted swap angles in superconducting two-qubit experiments, using low-depth (

Date: 2025
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DOI: 10.1038/s41467-025-56724-x

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