Probabilistic metrology defeats ultimate deterministic bound
arXiv:1407.6910
Abstract
Quantum-enhanced measurements exploit quantum mechanical effects to provide ultra-precise estimates of physical variables for use in advanced technologies, such as frequency calibration of atomic clocks, gravitational waves detection, and biosensing. Quantum metrology studies the fundamental limits in the estimation precision given a certain amount of resources (e.g. the number of probe systems) and restrictions (e.g. limited interaction time, or coping with unavoidable presence of noise). Here we show that, even in the presence of noise, probabilistic measurement strategies (which have a certain probability of failure or abstention) can provide, upon a heralded successful outcome, estimates with a precision that violates the deterministic bounds. This establishes a new ultimate quantum metrology limit. For probe systems subject to local dephasing, we quantify such precision limit as a function of the probability of failure that can be tolerated. We show that the possibility of abstaining can substantially set back the detrimental effects of noise.
References in corpus (48)
- Advances in Quantum Metrology
- Quantum metrology
- Optical Magnetometry
- On the Improvement of Frequency Stardards with Quantum Entanglement
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Quantum Metrology in Non-Markovian Environments
- Biological measurement beyond the quantum limit
- On Bell measurements for teleportation
- Coding Theorem and Strong Converse for Quantum Channels
- Generalized Limits for Single-Parameter Quantum Estimation
- Measuring small longitudinal phase shifts: weak measurements or standard interferometry?
- Improved quantum metrology using quantum error-correction
- Technical advantages for weak value amplification: When less is more
- Optimal states and almost optimal adaptive measurements for quantum interferometry
- Quantum Error Correction for Metrology
- Entanglement-enhanced measurement of a completely unknown phase
- Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
- Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
- Weak value amplification is suboptimal for estimation and detection
- Implementation of a non-deterministic optical noiseless amplifier
- Increasing sensing resolution with error correction
- Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms
- Optimal purification of single qubits
- Heralded Noiseless Amplification of a Photon Polarization Qubit
- Phase estimation without a priori knowledge in the presence of loss
- Optimal discrimination of mixed quantum states involving inconclusive results
- Optical codeword demodulation with error rates below standard quantum limit using a conditional nulling receiver
- Quantum limits on post-selected, probabilistic quantum metrology
- Optimal full estimation of qubit mixed states
- Phase estimation for thermal Gaussian states
- Sub-Heisenberg estimation strategies are ineffective
- Local discrimination of mixed states
- Charge sensing amplification via weak values measurement
- Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
- Protected state enhanced quantum metrology with interacting two-level ensembles
- Quantum metrology in the presence of spatially correlated noise: Restoring Heisenberg scaling
- Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes
- Optimal Heisenberg-style bounds for the average performance of arbitrary phase estimates
- Quantum replication at the Heisenberg limit
- Optimal design and quantum benchmarks for coherent state amplifiers
- Quantum Metrology Assisted with Abstention
- Optimal probabilistic estimation of quantum states
- Parameter estimation in a memory-assisted noisy quantum interferometry
- True Limits to Precision via Unique Quantum Probe
- Optimal parameter estimation with a fixed rate of abstention
- Optimal probabilistic measurement of phase