Quantum thermometry with non-Gaussian states: From non-equilibrium speed to equilibrium precision

• URL: http://arxiv.org/abs/2507.15458v2
• Date: Wed, 30 Jul 2025 14:56:07 GMT
• Title: Quantum thermometry with non-Gaussian states: From non-equilibrium speed to equilibrium precision
• Authors: Asghar Ullah, M. Tahir Naseem, Özgür E. Müstecaplıoğlu,
• Abstract summary: We study temperature estimation using quantum probes, including single-mode initial states and two-mode states.<n>In the non-equilibrium regime, we show that single-mode non-Gaussian probe states can significantly enhance the speed of estimation.<n>In the equilibrium regime, we analyze temperature estimation using two-mode squeezed thermal states, which outperform single-mode strategies.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study temperature estimation using quantum probes, including single-mode initial states and two-mode states generated via stimulated parametric down-conversion in a nonlinear crystal at finite temperature. We explore both transient and equilibrium regimes and compare the performance of Gaussian and non-Gaussian probe states for temperature estimation. In the non-equilibrium regime, we show that single-mode non-Gaussian probe states - such as Fock, odd cat, and Gottesman-Kitaev-Preskill states - can significantly enhance the speed of estimation, particularly at short interaction times. In the two-mode setting, entangled states such as the two-mode squeezed vacuum, NOON state, and entangled cat state can enable access to temperature information at earlier times. In the equilibrium regime, we analyze temperature estimation using two-mode squeezed thermal states, which outperform single-mode strategies. We evaluate practical measurement strategies and find that energy-based observables yield optimal precision, population difference observables provide near-optimal precision, while quadrature-based measurements are suboptimal. The precision gain arises from squeezing, which suppresses fluctuations in the population difference.

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