Weakly invasive metrology: quantum advantage and physical implementations

Abstract

We consider the estimation of a Hamiltonian parameter of a set of highly photosensitive samples, which are damaged after a few photons $N_{\mathrm{abs}}$ are absorbed, for a total time $T$. The samples are modelled as a two mode photonic system, where photons simultaneously acquire information on the unknown parameter and are absorbed at a fixed rate. We show that arbitrarily intense coherent states can obtain information at a rate that scales at most linearly with $N_{\mathrm{abs}}$ and $T$, whereas quantum states with finite intensity can overcome this bound. We characterise the quantum advantage as a function of $N_{\mathrm{abs}}$ and $T$, as well as its robustness to imperfections (non-ideal detectors, finite preparation and measurement rates for quantum photonic states). We discuss an implementation in cavity QED, where Fock states are both prepared and measured by coupling atomic ensembles to the cavities. We show that superradiance, arising due to a collective coupling between the cavities and the atoms, can be exploited for improving the speed and efficiency of the measurement.

arXiv comment8+8 pages, 11 Figures. v4: minor changes, accepted in Quantum

References in corpus (65)

• Advances in Quantum Metrology
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Photonic quantum technologies
• Ultrastrong coupling between light and matter
• Cavity-based quantum networks with single atoms and optical photons
• On the Improvement of Frequency Stardards with Quantum Entanglement
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• Quantum metrology from a quantum information science perspective
• The elusive Heisenberg limit in quantum enhanced metrology
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Quantum Metrology in Non-Markovian Environments
• Biological measurement beyond the quantum limit
• Superradiance for atoms trapped along a photonic crystal waveguide
• Quantum limits in optical interferometry
• Optimal Quantum Phase Estimation
• Fast Scalable State Measurement with Superconducting Qubits
• Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
• An Entanglement-Enhanced Microscope
• Quantum phase estimation with lossy interferometers
• Improved quantum metrology using quantum error-correction
• Quantum Error Correction for Metrology
• Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
• Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
• Vacuum-Stimulated Raman Scattering based on Adiabatic Passage in a High-Finesse Optical Cavity
• Super-radiance reveals infinite-range dipole interactions through a nanofiber
• Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
• Magnet field sensing beyond the standard quantum limit under the effect of decoherence
• Noisy metrology beyond the standard quantum limit
• Increasing sensing resolution with error correction
• Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
• Quantum optical technologies for metrology, sensing and imaging
• The ultimate precision limits for noisy frequency estimation
• Quantum Non-Demolition Detection of Strongly Correlated Systems
• Entanglement-enhanced probing of a delicate material system
• Efficient tools for quantum metrology with uncorrelated noise
• Microwave Photon Detector in Circuit QED
• Quantum metrology with imperfect states and detectors
• Qubit metrology and decoherence
• Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
• Perfect Microwave Photodetection in Circuit QED
• Nonlinear quantum metrology of many-body open systems
• Reliable multiphoton generation in waveguide QED
• Quantum-enhanced absorption spectroscopy
• Optimal probe states for the estimation of Gaussian unitary channels
• Accurate Atom Counting in Mesoscopic Ensembles
• Nonlinear quantum metrology using coupled nanomechanical resonators
• Improved Quantum Magnetometry beyond the Standard Quantum Limit
• Quantum frequency estimation with trapped ions and atoms
• Collective state measurement of mesoscopic ensembles with single-atom resolution
• Controlling the phase of a light beam with a single molecule
• Fast high fidelity quantum non-demolition qubit readout via a non-perturbative cross-Kerr coupling
• Subdiffraction-limited quantum imaging within a living cell
• Coherent single-atom superradiance
• Quantum metrology with one-dimensional superradiant photonic states
• Deterministic Generation of Large Fock States
• Achieving optimal quantum acceleration of frequency estimation using adaptive coherent control
• Quantum Phase Estimation with Entangled Photons produced by Parametric Down Conversion
• Cavity cooling of many atoms
• Multimode Fock states with large photon number: effective descriptions and applications in quantum metrology
• Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit
• Optimal Conventional Measurements for Quantum-Enhanced Interferometry
• Nondestructive photon counting in waveguide QED
• Generation of single and two-mode multiphoton states in waveguide QED
• Number-unconstrained quantum sensing
• Probabilistic metrology or how some measurement outcomes render ultra-precise estimates

Cited by in corpus (6)

• Unconditional and robust quantum metrological advantage beyond NOON states
• Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
• Invasiveness of non-equilibrium quantum thermometry
• Average number is an insufficient metric for interferometry
• Current-based metrology with two-terminal mesoscopic conductors
• Gaussian quantum metrology in a dissipative environment