Non-Gaussian Dissipative Quantum Thermometry Beyond Gaussian Bounds

Abstract

The fundamental metrological limits of temperature sensing in open quantum systems remain largely unresolved, particularly regarding the role of non-Gaussian quantum resources. In this letter, we establish analytic bounds on the quantum Fisher information (QFI) for temperature estimation using non-Gaussian states undergoing dissipative bosonic evolution. By focusing on the short-time regime governed by a time-local master equation, we derive precise scaling laws that elucidate when and how non-Gaussian probes decisively outperform Gaussian states under identical energy constraints. Our analysis uncovers a distinct linear-in-time QFI enhancement unique to Fock states, in contrast to the inherently weaker, quadratic scaling of Gaussian probes. These theoretical insights are substantiated through exact numerical simulations and mapped onto experimentally accessible platforms such as circuit QED. Our results not only clarify the quantum thermometric advantage of non-Gaussianity but also chart a realistic pathway toward harnessing it in noisy quantum technologies.

References in corpus (8)

• Quantum metrology from a quantum information science perspective
• Individual quantum probes for optimal thermometry
• Optimal estimation of joint parameters in phase space
• Single-qubit thermometry
• Passivity and practical work extraction using Gaussian operations
• Non-equilibrium readiness and accuracy of Gaussian Quantum Thermometers
• Enhanced frequency and temperature estimation by a $\mathcal{P}\mathcal{T}$-symmetric quantum oscillator
• Generic Two-Mode Gaussian States as Quantum Sensors