Optimal Quantum Thermometry with Coarse-grained Measurements
arXiv:2011.10513 · doi:10.1103/PRXQuantum.2.020322
Abstract
Precise thermometry for quantum systems is important to the development of new technology, and understanding the ultimate limits to precision presents a fundamental challenge. It is well known that optimal thermometry requires projective measurements of the total energy of the sample. However, this is infeasible in even moderately-sized systems, where realistic energy measurements will necessarily involve some coarse graining. Here, we explore the precision limits for temperature estimation when only coarse-grained measurements are available. Utilizing tools from signal processing, we derive the structure of optimal coarse-grained measurements and find that good temperature estimates can generally be attained even with a small number of outcomes. We apply our results to many-body systems and nonequilibrium thermometry. For the former, we focus on interacting spin lattices, both at and away from criticality, and find that the Fisher-information scaling with system size is unchanged after coarse-graining. For the latter, we consider a probe of given dimension interacting with the sample, followed by a measurement of the probe. We derive an upper bound on arbitrary, nonequilibrium strategies for such probe-based thermometry and illustrate it for thermometry on a Bose-Einstein condensate using an atomic quantum-dot probe.
References in corpus (52)
- Advances in Quantum Metrology
- Nanometer scale quantum thermometry in a living cell
- Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
- High precision nano scale temperature sensing using single defects in diamond
- Individual quantum probes for optimal thermometry
- Nanoscale thermal imaging of dissipation in quantum systems
- Atomic quantum dots coupled to BEC reservoirs
- Experimentally simulating the dynamics of quantum light and matter at ultrastrong coupling
- Thermometry in the quantum regime: Recent theoretical progress
- A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
- Locality of temperature
- Fast electron thermometry towards ultra-sensitive calorimetric detection
- 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
- Cooling and thermometry of atomic Fermi gases
- Collisional Stability of 40K Immersed in a Strongly Interacting Fermi Gas of 6Li
- Thermalization and canonical typicality in translation-invariant quantum lattice systems
- Precision thermometry and the quantum speed limit
- Qubit-assisted thermometry of a quantum harmonic oscillator
- Impurities as a quantum thermometer for a Bose-Einstein condensate
- Thermometry with spin-dependent lattices
- Probing the temperature of cold many-body quantum systems
- Spectra and eigenstates of spin chain Hamiltonians
- Single-atom quantum probes for ultracold gases using nonequilibrium spin dynamics
- Global Quantum Thermometry
- Fundamental limits on low-temperature quantum thermometry with finite resolution
- Thermometry and cooling of a Bose-Einstein condensate to 0.02 times the critical temperature
- Precision Measurements of Temperature and Chemical Potential of Quantum Gases
- Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap
- Thermalization and Return to Equilibrium on Finite Quantum Lattice Systems
- Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
- Estimating Temperature via Sequential Measurements
- Energy-temperature uncertainty relation in quantum thermodynamics
- Enhanced precision bound of low-temperature quantum thermometry via dynamical control
- A Single Atom Thermometer for Ultracold Gases
- A single quantum dot as an optical thermometer for mK temperatures
- Tight bound on finite-resolution quantum thermometry at low temperatures
- Decay of Correlations in Fermi Systems at Non-zero Temperature
- Exact Ampitude Ratio and Finite-Size Corrections for the M x N Square Lattice Ising Model The :
- Concentration bounds for quantum states with finite correlation length on quantum spin lattice systems
- Thermometry of a deeply degenerate Fermi gas with a Bose-Einstein condensate
- Equivalence of Statistical Mechanical Ensembles for Non-Critical Quantum Systems
- Improved thermometry of low-temperature quantum systems by a ring-structure probe
- Quantum thermometry using the ac Stark shift within the Rabi model
- Universal locality of quantum thermal susceptibility
- Quantum Thermometry
- Non-equilibrium readiness and accuracy of Gaussian Quantum Thermometers
Cited by in corpus (29)
- Quantum metrology with imperfect measurements
- Fundamental limits in Bayesian thermometry and attainability via adaptive strategies
- Multi-spin probes for thermometry in the strong-coupling regime
- Roadmap on Quantum Thermodynamics
- Optimal nonequilibrium thermometry in Markovian environments
- Fisher information of correlated stochastic processes
- Uninformed Bayesian Quantum Thermometry
- Thermometry of Gaussian quantum systems using Gaussian measurements
- Non-Markovian temperature sensing
- Optimal Thermometers with Spin Networks
- Machine classification for probe based quantum thermometry
- Strongly coupled fermionic probe for nonequilibrium thermometry
- Thermometry by correlated dephasing of impurities in a 1D Fermi gas
- Interplay between time and energy in bosonic noisy quantum metrology
- Energy measurements remain thermometrically optimal beyond weak coupling
- Fisher information rates in sequentially measured quantum systems
- Enhancing precision thermometry with nonlinear qubits
- Introduction to gravitational redshift of quantum photons propagating in curved spacetime
- Matrix product state approximations to quantum states of low energy variance
- Effects of counter-rotating-wave terms on the noisy frequency estimation
- Relativistic quantum thermometry through a moving sensor
- Temperature-heat uncertainty relation in nonequilibrium quantum thermometry
- Thermometric machine for ultraprecise thermometry of low temperatures
- Charging a quantum spin network towards Heisenberg-limited precision
- Persistent nonlocality in an ultracold-atom environment
- Limitations of strong coupling in non-Markovian quantum thermometry
- Correlated decoherence and thermometry with mobile impurities in a 1D Fermi gas
- Catalytic transformations with finite-size environments: applications to cooling and thermometry
- Direct temperature readout in nonequilibrium quantum thermometry