PreprintCC BY 4.0arXiv
Quantum-enhanced metrology with classical shadows
Abstract
Quantum metrology relies on observables that maximize information about the parameter of interest, but are often hard to access. We develop a protocol that combines Pauli moments estimated from a fixed ensemble of randomized local measurements into an optimized method-of-moments estimator. For local Pauli classical shadows, we derive the shadow information which determines estimator variance and sample-complexity guarantees. Identifying the separable-state sensitivity limit, we show that entanglement can lead to a constant-factor sensitivity enhancement, as illustrated with one-axis-twisted probes. This protocol allows for efficient circuit-based metrology without choosing an observable.
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BibTeX
@misc{ion2026quantumenhanced,
title = {{Quantum-enhanced metrology with classical shadows}},
author = {Luca Ion and Manuel Gessner},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.35632},
eprint = {2610.35632},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.35632},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum-enhanced metrology with classical shadows
AU - Luca Ion
AU - Manuel Gessner
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.35632
UR - https://arxiv.org/abs/2610.35632
AB - Quantum metrology relies on observables that maximize information about the parameter of interest, but are often hard to access. We develop a protocol that combines Pauli moments estimated from a fixed ensemble of randomized local measurements into an optimized method-of-moments estimator. For local Pauli classical shadows, we derive the shadow information which determines estimator variance and sample-complexity guarantees. Identifying the separable-state sensitivity limit, we show that entanglement can lead to a constant-factor sensitivity enhancement, as illustrated with one-axis-twisted probes. This protocol allows for efficient circuit-based metrology without choosing an observable.
ER -