Optimal Quantum Thermometry with Coarse-Grained Measurements

@article{Hovhannisyan2020OptimalQT,
  title={Optimal Quantum Thermometry with Coarse-Grained Measurements},
  author={Karen V. Hovhannisyan and M. R. V. J{\o}rgensen and Gabriel T. Landi and {\'A}lvaro M. Alhambra and Jonatan Bohr Brask and Mart{\'i} Perarnau-Llobet},
  journal={arXiv: Quantum Physics},
  year={2020}
}
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… 

Figures from this paper

Thermometry of Gaussian quantum systems using Gaussian measurements
We study the problem of estimating the temperature of Gaussian systems with feasible measurements, namely Gaussian and photo-detection-like measurements. For Gaussian measurements, we develop a
Optimal nonequilibrium thermometry in finite time
What is the minimum time required to take the temperature? In this paper, we solve this question for any process where temperature is inferred by measuring a probe (the thermometer) weakly coupled to
Fundamental Limits in Bayesian Thermometry and Attainability via Adaptive Strategies.
We investigate the limits of thermometry using quantum probes at thermal equilibrium within the Bayesian approach. We consider the possibility of engineering interactions between the probes in order
Uninformed Bayesian quantum thermometry
We study the Bayesian approach to thermometry with no prior knowledge about the expected temperature scale, through the example of energy measurements on fully or partially thermalized qubit probes.
Machine classification for probe-based quantum thermometry
TLDR
This work considers the problem of probe-based quantum thermometry, and shows that machine classification can provide reliable estimates over a broad range of scenarios, based on the k-nearest-neighbor algorithm, and argues that classification may become an experimentally relevant tool for thermometry in the quantum regime.
Thermometric machine for ultraprecise thermometry of low temperatures
Thermal equilibrium states are exponentially hard to distinguish at very low temperatures, making equilibrium quantum thermometry in this regime a formidable task. We present a thermometric scheme
Non-Markovian temperature sensing
We investigate the sensing performance of a single-qubit quantum thermometer within a nonMarkovian dynamical framework. By employing an exactly numerical hierarchical equations of the motion method,
Temperature uncertainty relation in non-equilibrium thermodynamics
Temperature uncertainty of a quantum system in canonical ensemble is inversely determined by its energy fluctuation, which is known as the temperature-energy uncertainty relation. No such uncertainty
Effects of counter-rotating-wave terms on the noisy frequency estimation
We investigate the problem of estimating the tunneling frequency of a two-level atomic system embedded in a dissipative environment by employing a numerically rigorous hierarchical equations of
Quantum metrology with imperfect measurements
Yink Loong Len, ∗ Tuvia Gefen, † Alex Retzker, 4, ‡ and Jan Ko lodyński § Centre for Quantum Optical Technologies, Centre of New Technologies, University of Warsaw, Banacha 2c, 02-097 Warszawa,
...
...

References

SHOWING 1-10 OF 81 REFERENCES
Fundamental limits on low-temperature quantum thermometry with finite resolution
While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not
Thermometry in the quantum regime: recent theoretical progress
Controlling and measuring the temperature in different devices and platforms that operate in the quantum regime is, without any doubt, essential for any potential application. In this review, we
Enhanced precision bound of low-temperature quantum thermometry via dynamical control
High-precision low-temperature thermometry is a challenge for experimental quantum physics and quantum sensing. Here we consider a thermometer modeled by a dynamically-controlled multilevel quantum
Tight bound on finite-resolution quantum thermometry at low temperatures
Precise thermometry is of wide importance in science and technology in general and in quantum systems in particular. Here, we investigate fundamental precision limits for thermometry on cold quantum
Enhancement of low-temperature thermometry by strong coupling
We consider the problem of estimating the temperature T of a very cold equilibrium sample. The temperature estimates are drawn from measurements performed on a quantum Brownian probe strongly coupled
Precision thermometry and the quantum speed limit
We assess precision thermometry for an arbitrary single quantum system. For a $d$-dimensional harmonic system we show that the gap sets a single temperature that can be optimally estimated.
Qubit thermometry for micromechanical resonators
We address estimation of temperature for a micromechanical oscillator lying arbitrarily close to its quantum ground state. Motivated by recent experiments, we assume that the oscillator is coupled to
In Situ Thermometry of a Cold Fermi Gas via Dephasing Impurities.
TLDR
This work demonstrates that the temperature of a noninteracting Fermi gas can be accurately inferred from the nonequilibrium dynamics of impurities immersed within it, using an interferometric protocol and established experimental methods.
Individual Quantum Probes for Optimal Thermometry.
TLDR
It is proved that the optimal quantum probe, acting as a thermometer with maximal thermal sensitivity, is an effective two-level atom with a maximally degenerate excited state.
Improved thermometry of low-temperature quantum systems by a ring-structure probe
The thermometry precision of a sample is a question of both fundamental and technological importance. In this paper, we consider a ring-structure system as our probe to estimate the temperature of a
...
...