Coherence-enhanced single-qubit thermometry out of equilibrium
arXiv:2405.14439 · doi:10.3390/e26070568
Abstract
The metrological limits of thermometry operated in nonequilibrium dynamical regimes are analyzed. We consider a finite-dimensional quantum system, employed as a quantum thermometer, in contact with a thermal bath inducing Markovian thermalization dynamics. The quantum thermometer is initialized in a generic quantum state, possibly including quantum coherence w.r.t. the Hamiltonian basis. We prove that the sensitivity of the thermometer, quantified by the quantum Fisher information, is enhanced by the quantum coherence in its initial state. We analytically show this in the specific case of qubit thermometers for which the maximization of the quantum Fisher information occurs at a finite time during the transient of the thermalization dynamics. Such a finite-time sensitivity enhancement can be better than the sensitivity that is achieved asymptotically.
arXiv comment19 pages, 5 figures. Comments and feedback are welcome
References in corpus (31)
- Quantum sensing
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum Fisher information matrix and multiparameter estimation
- Fisher information and multiparticle entanglement
- Individual quantum probes for optimal thermometry
- Quantum collision models: open system dynamics from repeated interactions
- Thermometry in the quantum regime: Recent theoretical progress
- Quantum thermodynamic cooling cycle
- Single-qubit thermometry
- In situ thermometry of a cold Fermi gas via dephasing impurities
- Collisional quantum thermometry
- Qubit thermometry for micromechanical resonators
- Impurities as a quantum thermometer for a Bose-Einstein condensate
- Quantum thermometry by single-qubit dephasing
- Quantum Fisher information measurement and verification of the quantum Cramér-Rao bound in a solid-state qubit
- Two-qubit quantum probes for the temperature of an Ohmic environment
- Quantum Simulation of single-qubit thermometry using linear optics
- Thermometry of ultracold atoms via non-equilibrium work distributions
- Nonequilibrium Dynamics with Finite-Time Repeated Interactions
- Entropy production and asymptotic factorization via thermalization: a collisional model approach
- Tight bound on finite-resolution quantum thermometry at low temperatures
- Quantum metrology beyond the Quantum Cramér-Rao theorem
- The role of quantum coherence in energy fluctuations
- Practical Quantum Metrology in Noisy Environments
- Mechanical oscillator thermometry in the nonlinear optomechanical regime
- Speed of qubit states during thermalisation
- Surpassing the Thermal Cramer-Rao Bound with Collisional Thermometry
- Trade-off between information and disturbance in qubit thermometry
- Fisher information from stochastic quantum measurements
- Invasiveness of non-equilibrium quantum thermometry
- Temperature estimation of an entangled pair of trapped ions