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This research introduces a novel computational framework that enables the certification of fidelity susceptibility on quantum hardware using randomized single-copy measurements and Krylov-subspace methods. By establishing monotone lower bounds that converge geometrically, the study offers a practical solution for probing quantum phase transitions and enhancing metrology without requiring full state tomography. The work represents a significant methodological advance in extracting critical physical observables from limited quantum device data.
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Certified Fidelity Susceptibility from Classical Shadows

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arXiv:2608.24732v1 Announce Type: new Abstract: Fidelity susceptibility is a useful probe of quantum phase transitions and quantum metrology, but its direct evaluation on a quantum device is challenging. By integrating Krylov-subspace methods with a resolvent-based reformulation, we present a method for certifying fidelity susceptibility using randomized single-copy measurements across repeated ground-state preparations. The resulting approximations form monotone lower bounds to the exact fidelity susceptibility and converge geometrically. We also present applications to metrology and linear static susceptibilities.

Abstract:Fidelity susceptibility is a useful probe of quantum phase transitions and quantum metrology, but its direct evaluation on a quantum device is challenging. By integrating Krylov-subspace methods with a resolvent-based reformulation, we present a method for certifying fidelity susceptibility using randomized single-copy measurements across repeated ground-state preparations. The resulting approximations form monotone lower bounds to the exact fidelity susceptibility and converge geometrically. We also present applications to metrology and linear static susceptibilities.

arXiv:2608.24732 [quant-ph]

(or arXiv:2608.24732v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.24732 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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