Quantum thermometry by single-qubit dephasing

Abstract

We address the dephasing dynamics of a qubit as an effective process to estimate the temperature of its environment. Our scheme is inherently quantum, since it exploits the sensitivity of the qubit to decoherence, and does not require thermalization with the system under investigation. We optimize the quantum Fisher information with respect to the interaction time and the temperature in the case of Ohmic-like environments. We also find explicitly the qubit measurement achieving the quantum Cramer- Rao bound to precision. Our results show that the conditions for optimal estimation originate from a non-trivial interplay between the dephasing dynamics and the Ohmic structure of the environment. In general, optimal estimation is achieved neither when the qubit approaches the stationary state, nor for full dephasing.

arXiv commentRevised version - accepted by EPJ

References in corpus (43)

• Quantifying Coherence
• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Quantum Computers and Dissipation
• Fundamental limitations for quantum and nano thermodynamics
• Concepts and methods in the theory of open quantum systems
• The Flux Qubit Revisited to Enhance Coherence and Reproducibility
• Quantum criticality as a resource for quantum estimation
• Individual quantum probes for optimal thermometry
• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Optimal phase measurements with pure Gaussian states
• Quantifying, characterizing and controlling information flow in ultracold atomic gases
• Quantum Limits of Thermometry
• Single-qubit thermometry
• Qubit thermometry for micromechanical resonators
• Low-temperature thermometry can be enhanced by strong coupling
• Coherence trapping and information back-flow in dephasing qubits
• Precision thermometry and the quantum speed limit
• Qubit-assisted thermometry of a quantum harmonic oscillator
• Quantum probes for the cutoff frequency of Ohmic environments
• Fundamental limits on low-temperature quantum thermometry with finite resolution
• On the general problem of quantum phase estimation
• Characterization of classical Gaussian processes using quantum probes
• Dicke coupling by feasible local measurements at the superradiant quantum phase transition
• Collective decoherence of cold atoms coupled to a Bose-Einstein condensate
• Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap
• Entangled quantum probes for dynamical environmental noise
• Continuous-variable quantum probes for structured environments
• Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
• Quantum Simulation of single-qubit thermometry using linear optics
• Thermometry of ultracold atoms via non-equilibrium work distributions
• Energy-temperature uncertainty relation in quantum thermodynamics
• Optimal estimation of one parameter quantum channels
• A single quantum dot as an optical thermometer for mK temperatures
• Characterization of qubit chains by Feynman probes
• Environment-dependent dissipation in quantum Brownian motion
• Driven harmonic oscillator as a quantum simulator for open systems
• Effective dephasing for a qubit interacting with a transverse classical field
• Real-time phase-reference monitoring of a quasi-optimal coherent-state receiver
• Sub-Kelvin optical thermometry of an electron reservoir coupled to a self-assembled InGaAs quantum dot
• Probing the diamagnetic term in light-matter interaction
• Fluctuation-dissipation theorem for non-equilibrium quantum systems
• Remote Parameter Estimation in a Quantum Spin Chain Enhanced by Local Control

Cited by in corpus (50)

• In situ thermometry of a cold Fermi gas via dephasing impurities
• Fundamental limits on low-temperature quantum thermometry with finite resolution
• Two-qubit quantum probes for the temperature of an Ohmic environment
• Fundamental limits in Bayesian thermometry and attainability via adaptive strategies
• Tight bound on finite-resolution quantum thermometry at low temperatures
• Bath-Induced Correlations Enhance Thermometry Precision at Low Temperatures
• Thermometry of Strongly Correlated Fermionic Quantum Systems using Impurity Probes
• Quantum parameter estimation in a dissipative environment
• Mechanical oscillator thermometry in the nonlinear optomechanical regime
• Spectral signatures of non-thermal baths in quantum thermalization
• Sub-nK thermometry of an interacting $d$-dimensional homogeneous Bose gas
• Taking the temperature of a pure quantum state
• Uninformed Bayesian Quantum Thermometry
• Quantum sensing of temperature close to absolute zero in a Bose-Einstein condensate
• Non-equilibrium readiness and accuracy of Gaussian Quantum Thermometers
• Improving the estimation of environment parameters via initial probe-environment correlations
• Quantum scale estimation
• Invasiveness of non-equilibrium quantum thermometry
• Stochastic collisional quantum thermometry
• Discrimination of Ohmic thermal baths by quantum dephasing probes
• Harnessing coherence generation for precision single- and two-qubit quantum thermometry
• Strongly coupled fermionic probe for nonequilibrium thermometry
• Quantum metrology out of equilibrium
• Thermometry by correlated dephasing of impurities in a 1D Fermi gas
• Temperature estimation of an entangled pair of trapped ions
• Probe thermometry with continuous measurements
• Quantum thermometry in a squeezed thermal bath
• Enhancing precision thermometry with nonlinear qubits
• Fisher information rates in sequentially measured quantum systems
• Bayesian estimation for collisional thermometry
• Quantum thermometry for ultralow temperatures using probe and ancilla qubit chains
• Role of topology in determining the precision of a finite thermometer
• Topological quantum thermometry
• Thermometric machine for ultraprecise thermometry of low temperatures
• Temperature-heat uncertainty relation in nonequilibrium quantum thermometry
• Single-qubit probes for temperature estimation in the presence of collective baths
• Noise-assisted and monitoring-enhanced quantum bath tagging
• Coherence-enhanced single-qubit thermometry out of equilibrium
• Nonequilibrium quantum thermometry with noncommutative system-bath couplings
• Configuration-dependent precision in magnetometry and thermometry using multi-qubit quantum sensors
• Correlated decoherence and thermometry with mobile impurities in a 1D Fermi gas
• An upper bound on the number of compatible parameters in simultaneous quantum estimation
• Optimal strategies for transient and equilibrium quantum thermometry using Gaussian and non-Gaussian probes
• Optimizing topology for quantum probing with discrete-time quantum walks
• Metrology of weak quantum perturbations
• Spin-mechanical thermal machines
• Direct temperature readout in nonequilibrium quantum thermometry
• High-precision estimation of the parameters in the reservoir via the two-level system
• Nonequilibrium thermometry via an ensemble of initially correlated qubits
• Multiclass classification of dephasing channels