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  • Open Access

Quantum metrological advantage of high-order squeezed states

Rubén Gordillo-Hachuel1,2,*, Erik Torrontegui1, Cristina de Dios2, and Ricardo Puebla1,†

  • *Contact author: rgordill@ing.uc3m.es
  • †Contact author: rpuebla@fis.uc3m.es
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Phys. Rev. Research 8, 043155 – Published 12 November, 2026

DOI: https://doi.org/10.1103/1sv5-qzbz

Abstract

Quantum correlations can be harnessed to improve the precision in parameter estimation beyond classical capabilities. Under a standard interferometric or rotation protocol, it is well established that the optimal single-mode Gaussian state is a standard squeezed vacuum, which enables Heisenberg-limited precision. In this work, we investigate the potential metrological advantage of two distinct families involving high-order squeezing, namely, mth-phase and multisqueezed states. Our results show that these non-Gaussian states can grant a significant metrological advantage with respect to the optimal squeezed vacuum under equivalent conditions, i.e., at equal occupations. Their advantage holds at both low and large occupations, but its behavior critically depends on the chosen family of high-order squeezing. While higher squeezing orders enhance the advantage, this comes at the cost of higher-order observables in the measurement for full metrological performance. Finally, we study their robustness to standard decoherence channels, i.e., pure dephasing and zero-temperature damping. Employing standard squeezing as reference state, our results indicate a reasonable robustness against damping up to a certain noise strength, while their metrological advantage becomes fragile under pure dephasing. Our work shows the potential enhancement in quantum metrology beyond Gaussian states, carefully detailing the main challenges and limitations.

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Information

Phys. Rev. Research 8, 043155– Published 12 November, 2026
  • Received 23 April 2026
  • Accepted 19 October 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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