Optimal strategies for transient and equilibrium quantum thermometry using Gaussian and non-Gaussian probes
arXiv:2507.15458 · doi:10.1103/62ks-19fs
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.
21 pages, 15 figures. Accepted in PRA
References in corpus (75)
- Quantum information with continuous variables
- Gaussian Quantum Information
- Integrated Photonic Quantum Technologies
- Continuous-variable optical quantum state tomography
- The role of quantum information in thermodynamics --- a topical review
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- 30 years of squeezed light generation
- Photonic polarization gears for ultra-sensitive angular measurements
- Experimental demonstration of a hyper-entangled ten-qubit Schrödinger cat state
- Quantum Enhancement of the Zero-Area Sagnac Interferometer Topology for Gravitational Wave Detection
- An Entanglement-Enhanced Microscope
- Individual quantum probes for optimal thermometry
- Non-Gaussian Quantum States and Where to Find Them
- Generating Entangled Microwave Radiation Over Two Transmission Lines
- Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement
- Quantum parameter estimation using general single-mode Gaussian states
- Quantum parameter estimation using general single-mode Gaussian states
- Review of Entangled Coherent States
- Optimal quantum estimation of loss in bosonic channels
- Quantifying non-Gaussianity for quantum information
- Thermometry in the quantum regime: Recent theoretical progress
- Schrödinger cat states of a 16-microgram mechanical oscillator
- Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
- Weak force detection with superposed coherent states
- Entanglement-enhanced probing of a delicate material system
- All-optical nanoscale thermometry with silicon-vacancy centers in diamond
- Quantum Limits of Thermometry
- Single-qubit thermometry
- In situ thermometry of a cold Fermi gas via dephasing impurities
- Using polarons for sub-nK quantum non-demolition thermometry in a Bose-Einstein condensate
- Local quantum thermal susceptibility
- Collisional quantum thermometry
- Qubit thermometry for micromechanical resonators
- Low-temperature thermometry can be enhanced by strong coupling
- Photon Number Statistics of Multimode Parametric Down-Conversion
- Precision thermometry and the quantum speed limit
- Qubit-assisted thermometry of a quantum harmonic oscillator
- Quantum thermometry by single-qubit dephasing
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Probing the temperature of cold many-body quantum systems
- Emulating anyonic fractional statistical behavior in a superconducting quantum circuit
- Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
- Two-qubit quantum probes for the temperature of an Ohmic environment
- Quantum-enhanced metrology with large Fock states
- QuanEstimation: An open-source toolkit for quantum parameter estimation
- Optimal Probes for Global Quantum Thermometry
- Global and local thermometry schemes in coupled quantum systems
- Polynomial approximation of non-Gaussian unitaries by counting one photon at a time
- Low-temperature quantum thermometry boosted by coherence generation
- 500 microkelvin nanoelectronics
- Speed of qubit states during thermalisation
- Improved thermometry of low-temperature quantum systems by a ring-structure probe
- Few-fermion thermometry
- Sub-nK thermometry of an interacting -dimensional homogeneous Bose gas
- Thermometry of Gaussian quantum systems using Gaussian measurements
- Self-consistent many-body metrology
- Cooling low-dimensional electron systems into the microkelvin regime
- Quantum metrology with generalized cat states
- Optimal Thermometers with Spin Networks
- Quantum interferometry using coherent beam stimulated parametric down-conversion
- Genuine quantum non-Gaussianity and metrological sensitivity of Fock states prepared in a mechanical resonator
- Optical estimation of unitary Gaussian processes without phase reference using Fock states
- Harnessing coherence generation for precision single- and two-qubit quantum thermometry
- Strongly coupled fermionic probe for nonequilibrium thermometry
- Measure of phonon-number moments and motional quadratures through infinitesimal-time probing of trapped ions
- Thermometry by correlated dephasing of impurities in a 1D Fermi gas
- Energy measurements remain thermometrically optimal beyond weak coupling
- Mixing thermal coherent states for precision and range enhancement in quantum thermometry
- Quantum thermometry for ultralow temperatures using probe and ancilla qubit chains
- Saturable global quantum sensing
- Topological quantum thermometry
- Single-qubit probes for temperature estimation in the presence of collective baths
- Cost-effective temperature estimation strategies for thermal states with probabilistic quantum metrology
- HIgh-Noon States with High Flux of Photons Using coherent Beam Stimulated Non-Collinear Parametric Down Conversion