Cost-effective temperature estimation strategies for thermal states with probabilistic quantum metrology
arXiv:2111.05285 · doi:10.1088/2058-9565/ac6dfe
Abstract
In probabilistic quantum metrology, one aims at finding weak measurements that concentrate the Fisher Information on the resulting quantum states, post-selected according to the weak outcomes. Though the Quantum Cramér-Rao bound itself cannot be overshot this way, it could be possible to improve the information-cost ratio, or even the total Fisher Information. We propose a post-selection protocol achieving this goal based on single-photon subtraction onto a thermal state of radiation yielding a greater information-cost ratio for the temperature parameter with respect to the standard strategy required to achieve the Quantum Cramér-Rao bound. We address just fully-classical states of radiation: this contrasts with (but does not contradict) a recent result proving that, concerning unitary quantum estimation problems, post-selection strategies can outperform direct measurement protocols only if a particular quasiprobability associated with the family of parameter-dependent quantum states becomes negative, a clear signature of nonclassicality.
arXiv comment20 pages; comments are welcome
References in corpus (32)
- Advances in Quantum Metrology
- Non-gaussian statistics from individual pulses of squeezed light
- Continuous-variable teleportation improvement by photon subtraction via conditional measurement
- Increasing entanglement between Gaussian states by coherent photon subtraction
- Teleportation improvement by inconclusive photon subtraction
- Weak value amplification is suboptimal for estimation and detection
- Precision metrology using weak measurements
- Quantum Advantage in Postselected Metrology
- Artificial atoms can do more than atoms: Deterministic single photon subtraction from arbitrary light fields
- Conditional generation of arbitrary single-mode quantum states of light by repeated photon subtractions
- Information amplification via postselection: A parameter estimation perspective
- Extraction of a single photon from an optical pulse
- Quantum limits on post-selected, probabilistic quantum metrology
- Statistics of photon-subtracted and photon-added states
- Global Quantum Thermometry
- Precision measurements with photon-subtracted or photon-added Gaussian states
- Quantum Metrology: Extended Convexity of Quantum Fisher Information
- Degaussification of twin-beam and nonlocality in the phase space
- Squeezed Fock state by inconclusive photon subtraction
- Photon subtracted states and enhancement of nonlocality in the presence of noise
- Creating quanta with "annihilation" operator
- Effect of noise and enhancement of nonlocality in on/off photodetection
- Quantum Metrology Assisted with Abstention
- Thermometry of Gaussian quantum systems using Gaussian measurements
- Optimal probabilistic estimation of quantum states
- Nonclassicality of Thermal Radiation
- Deterministic subtraction of single photons based on a coupled single quantum dot-cavity system
- Cost of postselection in decision theory
- Probabilistic metrology or how some measurement outcomes render ultra-precise estimates
- Probabilistic magnetometry with two-spin system in diamond
- Characterizing non-deterministic noiseless linear amplifiers at the quantum limit
- Introduction to generation, manipulation and characterization of optical quantum states