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Trapped Ion Quantum Computing

Quantum superresolution and noise spectroscopy with quantum computing

arXiv
Authors: James W. Gardner, Federico Belliardo, Gideon Lee, Tuvia Gefen, Liang Jiang

Year

2026

Paper ID

10352

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

Quantum metrology of an incoherent signal is a canonical sensing problem related to superresolution and noise spectroscopy. We show that quantum computing can accelerate searches for a weak incoherent signal when the signal and noise are not precisely known. In particular, we consider weak Schur sampling, density matrix exponentiation, and quantum signal processing for testing the rank, purity, and spectral gap of the unknown quantum state to detect the incoherent signal. We show that these algorithms are faster than full-state tomography, which scales with the dimension of the Hilbert space. We apply our results to detecting exoplanets, stochastic gravitational waves, ultralight dark matter, geontropic quantum gravity, and Pauli noise.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Quantum metrology of an incoherent signal is a canonical sensing problem related to superresolution and noise spectroscopy.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.17862 [2] arXiv https://arxiv.org/abs/2602.17862 [3] Publisher https://arxiv.org/abs/2602.17862

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