Detecting large quantum Fisher information with finite measurement precision
arXiv:1509.03334 · doi:10.1103/PhysRevLett.116.090801
Abstract
We propose an experimentally accessible scheme to determine lower bounds on the quantum Fisher information (QFI), which ascertains multipartite entanglement or usefulness for quantum metrology. The scheme is based on comparing the measurement statistics of a state before and after a small unitary rotation. We argue that, in general, limited resolution of collective observables prevents the detection of large QFI. This can be overcome by performing an additional operation prior to the measurement. We illustrate the power of this protocol for present-day spin-squeezing experiments, where the same operation used for the preparation of the initial spin-squeezed state improves the lower bound on the QFI by two orders of magnitude. We also establish a connection to Leggett-Garg inequalities. We show how to simulate a variant of the inequalities with our protocol and demonstrate that a large QFI is necessary for their violation with coarse-grained detectors.
5 pages, 3 figures; v2: improved presentation, close to published version
References in corpus (10)
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum metrology from a quantum information science perspective
- Fisher Information and entanglement of non-Gaussian spin states
- Quantum criticality as a resource for quantum estimation
- Approaching the Heisenberg limit without single-particle detection
- Measures of macroscopicity for quantum spin systems
- Kind of entanglement that speeds up quantum evolution
- Necessary and sufficient conditions for macroscopic realism from quantum mechanics
- Linking Measures for Macroscopic Quantum States via Photon-Spin Mapping
- Quantum-enhanced interferometry and the structure of twisted states
Cited by in corpus (92)
- Quantum metrology with nonclassical states of atomic ensembles
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Macroscopic quantum states: measures, fragility and implementations
- Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
- Time-Reversal-Based Quantum Metrology with Many-Body Entangled States
- Loschmidt Echo for quantum metrology
- Optimal and Robust Quantum Metrology Using Interaction-Based Readouts
- Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
- Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
- Quantum-enhanced sensing using non-classical spin states of a highly magnetic atom
- Operational resource theory of continuous-variable nonclassicality
- Improving Metrology with Quantum Scrambling
- Quantum metrology with a quantum-chaotic sensor
- Fundamental limits on low-temperature quantum thermometry with finite resolution
- Quantum Fisher information measurement and verification of the quantum Cramér-Rao bound in a solid-state qubit
- Efficient entanglement criteria for discrete, continuous, and hybrid variables
- Heisenberg-limited noisy atomic clock using a hybrid coherent and squeezed states protocol
- Improving cold-atom sensors with quantum entanglement: Prospects and challenges
- Combining critical and quantum metrology
- Experimental estimation of the quantum Fisher information from randomized measurements
- Quantum metrology with imperfect measurements
- Nonlinear interferometry beyond classical limit facilitated by cyclic dynamics
- Detecting metrologically useful asymmetry and entanglement by a few local measurements
- Ramsey interferometry with generalized one-axis twisting echoes
- Achieving Heisenberg-limited metrology with spin cat states via interaction-based readout
- Phase magnification by two-axis countertwisting for detection noise robust interferometry
- Using Interaction-Based Readouts to Approach the Ultimate Limit of Detection Noise Robustness for Quantum-Enhanced Metrology in Collective Spin Systems
- A Machine-Designed Sensor to Make Optimal Use of Entanglement-Generating Dynamics for Quantum Sensing
- Tight bound on finite-resolution quantum thermometry at low temperatures
- Robustifying Twist-and-Turn Entanglement with Interaction-Based Readout
- Optimal witnessing of the quantum Fisher information with few measurements
- Coherence enhanced quantum metrology in a nonequilibrium optical molecule
- Non-Gaussian Precision Metrology via Driving through Quantum Phase Transitions
- Dynamics of transient cat-states in degenerate parametric oscillation with and without nonlinear Kerr interactions
- Overcoming decoherence of cat-states formed in a cavity using squeezed-state inputs
- Entanglement-Enhanced Optical Atomic Clocks
- Quantifying the mesoscopic quantum coherence of approximate NOON states and spin-squeezed two-mode Bose-Einstein condensates
- Creation, storage and retrieval of an optomechanical cat state
- Protecting quantum Fisher information in correlated quantum channels
- Dissipative superradiant spin amplifier for enhanced quantum sensing
- Direct measurement of quantum Fisher information
- Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing
- Efficient and Robust Entanglement Generation with Deep Reinforcement Learning for Quantum Metrology
- Quantifying quantum invasiveness
- Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases
- Optimal protocols for quantum metrology with noisy measurements
- Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
- Multipartite-Entanglement Dynamics in Regular-to-Ergodic Transition: a Quantum-Fisher-Information approach
- Disturbance-Based Measure of Macroscopic Coherence
- Optimal Conventional Measurements for Quantum-Enhanced Interferometry
- Quantum metrology with a continuous-variable system
- A stroboscopic approach to trapped-ion quantum information processing with squeezed phonons
- Signifying the Schrodinger cat in the context of testing macroscopic realism
- Coherence, Asymmetry, and Quantum Macroscopicity
- Active SU(1,1) atom interferometry
- Resolution-enhanced entanglement detection
- Detection of entangled states supported by reinforcement learning
- Quantifying the mesoscopic nature of the Einstein-Podolsky-Rosen nonlocality
- Krylov shadow tomography: Efficient estimation of quantum Fisher information
- Quantum metrology with a squeezed Kerr oscillator
- Clock precision beyond the Standard Quantum Limit at level
- Insufficiency of avoided crossings for witnessing large-scale quantum coherence in flux qubits
- Fisher information as general metrics of quantum synchronization
- Lower bounds on the size of general Schrödinger-cat states from experimental data
- Many-body quantum lock-in amplifier
- Modular-value-based metrology with spin coherent pointers
- Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-all Interactions
- Partitioning dysprosium's electronic spin to reveal entanglement in non-classical states
- Optimizing one-axis twists for variational Bayesian quantum metrology
- Cyclic nonlinear interferometry with entangled non-Gaussian spin states
- Simultaneous measurement of DC and AC magnetic fields at the Heisenberg limit
- Optimal Ramsey interferometry with echo protocols based on one-axis twisting
- Spin squeezing via one- and two-axis twisting induced by a single off-resonance stimulated Raman scattering in a cavity
- Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
- Connecting measurement invasiveness to optimal metrological scenarios
- Quantum metrology in coarsened measurement reference
- Generic Two-Mode Gaussian States as Quantum Sensors
- Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
- QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
- Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- Correlations in local measurements and entanglement in many-body systems
- Quantum Vector DC Magnetometry via Selective Phase Accumulation
- Non-Gaussian Dissipative Quantum Thermometry Beyond Gaussian Bounds
- Swap-test interferometry with biased ancilla noise
- Entanglement-Constrained Quantum Metrology: Rapid Low-Entanglement Gains, Tapered High-Level Growth
- Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
- Delta-kick Squeezing
- Quantum Phase Estimation Algorithm with Gaussian Spin States
- Tailored generation of quantum states in an entangled spinor interferometer to overcome detection noise
- Scaling laws for the sensitivity enhancement of non-Gaussian spin states
- Metrological approach to the emergence of classical objectivity