Measuring multipartite entanglement via dynamic susceptibilities
arXiv:1509.01739 · doi:10.1038/nphys3700
Abstract
Entanglement plays a central role in our understanding of quantum many body physics, and is fundamental in characterising quantum phases and quantum phase transitions. Developing protocols to detect and quantify entanglement of many-particle quantum states is thus a key challenge for present experiments. Here, we show that the quantum Fisher information, representing a witness for genuinely multipartite entanglement, becomes measurable for thermal ensembles via the dynamic susceptibility, i.e., with resources readily available in present cold atomic gas and condensed-matter experiments. This moreover establishes a fundamental connection between multipartite entanglement and many-body correlations contained in response functions, with profound implications close to quantum phase transitions. There, the quantum Fisher information becomes universal, allowing us to identify strongly entangled phase transitions with a divergent multipartiteness of entanglement. We illustrate our framework using paradigmatic quantum Ising models, and point out potential signatures in optical-lattice experiments.
5+5 pages, 3+2 figures
References in corpus (17)
- Entanglement detection
- Measuring entanglement entropy through the interference of quantum many-body twins
- Many-body localization in a quantum simulator with programmable random disorder
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum critical scaling of the geometric tensors
- Entanglement versus Correlations in Spin Systems
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Fisher Information and entanglement of non-Gaussian spin states
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Bures metric over thermal state manifolds and quantum criticality
- Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
- Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
- Anomalous scaling behavior of the dynamical spin susceptibility of CeLaRuSi
- Finite-temperature scaling of spin correlations in a partially magnetized Heisenberg chain
- Renormalized quantum Fisher information manifestation of Berezinskii-Kosterlitz-Thouless phase transition for spin-1/2 XXZ chain
Cited by in corpus (240)
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum entanglement in condensed matter systems
- Quantum Fisher information matrix and multiparameter estimation
- Quantum Entanglement in Neural Network States
- Entanglement Certification From Theory to Experiment
- Geometry and non-adiabatic response in quantum and classical systems
- Simulating quantum many-body dynamics on a current digital quantum computer
- Exploring Localization in Nuclear Spin Chains
- Macroscopic quantum states: measures, fragility and implementations
- Scrambling and entanglement spreading in long-range spin chains
- Equipartition of the Entanglement Entropy
- Critical thermalization of a disordered dipolar spin system in diamond
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Spectral entropies as information-theoretic tools for complex network comparison
- On quantumness in multi-parameter quantum estimation
- Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
- Quantum critical metrology
- Flat bands, strange metals, and the Kondo effect
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
- Multipartite entanglement in topological quantum phases
- Experimental measurement of the quantum geometric tensor using coupled qubits in diamond
- Measurement Protocol for the Entanglement Spectrum of Cold Atoms
- Simple expression for the quantum Fisher information matrix
- Bridging entanglement dynamics and chaos in semiclassical systems
- Estimation of Gaussian quantum states
- Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe
- Witnessing entanglement in quantum magnets using neutron scattering
- Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox
- Metrological Detection of Multipartite Entanglement from Young Diagrams
- Dynamics of entanglement in expanding quantum fields
- Critical behavior of dissipative two-dimensional spin lattices
- Quantifying and controlling entanglement in the quantum magnet CsCoCl
- Quantum Fisher information measurement and verification of the quantum Cramér-Rao bound in a solid-state qubit
- Witnessing Multipartite Entanglement without Entanglement Witness Operators
- Efficient entanglement criteria for discrete, continuous, and hybrid variables
- Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
- Characterization of topological states via dual multipartite entanglement
- Statistical speed of quantum states: Generalized quantum Fisher information and Schatten speed
- Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Multipartite Entanglement at Finite Temperature
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Superdensity Operators for Spacetime Quantum Mechanics
- Enhanced precision bound of low-temperature quantum thermometry via dynamical control
- Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
- Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
- Experimental estimation of the quantum Fisher information from randomized measurements
- Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
- Solving efficiently the dynamics of many-body localized systems at strong disorder
- Experimental signatures of quantum and topological states in frustrated magnetism
- Extensive multipartite entanglement from su(2) quantum many-body scars
- Multipartite entanglement structure in the Eigenstate Thermalization Hypothesis
- Detecting metrologically useful asymmetry and entanglement by a few local measurements
- Algebraic Many-Body Localization and its implications on information propagation
- Quantum variance: a measure of quantum coherence and quantum correlations for many-body systems
- Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
- Probing quantum correlations in many-body systems: a review of scalable methods
- Entanglement enhanced metrology with quantum many-body scars
- Strong quantum metrological limit from many-body physics
- Quantum speed limits on operator flows and correlation functions
- A Machine-Designed Sensor to Make Optimal Use of Entanglement-Generating Dynamics for Quantum Sensing
- Entanglement dynamics of a many-body localized system coupled to a bath
- Extracting the Quantum Geometric Tensor of an Optical Raman Lattice by Bloch State Tomography
- Optimal witnessing of the quantum Fisher information with few measurements
- Cavity Light-Matter Entanglement through Quantum Fluctuations
- Spectral function of the Heisenberg model on the triangular lattice
- Probing localization and quantum geometry by spectroscopy
- Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
- Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
- Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
- Squeezing by Critical Speeding-up: Applications in Quantum Metrology
- Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
- Operator content of entanglement spectra after global quenches in the transverse field Ising chain
- Multipartite entanglement after a quantum quench
- Quantum parameter estimation in a dissipative environment
- Fidelity as a probe for a deconfined quantum critical point
- Thermodynamics from relative entropy
- Scalable Spin Squeezing from Finite Temperature Easy-plane Magnetism
- Quantum coherence and the localization transition
- Bell correlations at Ising quantum critical points
- Unveiling quantum entanglement in many-body systems from partial information
- Achieving sub-shot-noise sensing at finite temperatures
- Out-of-time-order correlators and quantum phase transitions in the Rabi and Dicke model
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Entanglement and Nonlocality in Infinite 1D Systems
- Robust estimation of the Quantum Fisher Information on a quantum processor
- Direct measurement of quantum Fisher information
- Characterizing quantum correlations in spin chains
- Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states
- Saturating the quantum Cramér-Rao bound using LOCC
- Entanglement and classical fluctuations at finite-temperature critical points
- Determining the Continuous Family of Quantum Fisher Information from Linear Response Theory
- Holographic complexity: A tool to probe the property of reduced fidelity susceptibility
- Edge insulating topological phases in a two-dimensional long-range superconductor
- Multipartite-Entanglement Tomography of a Quantum Simulator
- Quantum correlations, separability and quantum coherence length in equilibrium many-body systems
- Multiparameter Quantum Estimation Theory in Quantum Gaussian states
- Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
- Witnessing nonequilibrium entanglement dynamics in a strongly correlated fermionic chain
- Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
- From entanglement certification with quench dynamics to multipartite entanglement of interacting fermions
- From Classical to Quantum Information Geometry: A Guide for Physicists
- Realistic protocol to measure entanglement at finite temperatures
- Witnessing Light-Driven Entanglement using Time-Resolved Resonant Inelastic X-Ray Scattering
- Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
- Non-Markovian temperature sensing
- Experimental demonstration of topological bounds in quantum metrology
- Fluctuation-dissipation theorem for non-equilibrium quantum systems
- Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process
- Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
- Critical quantum thermometry and its feasibility in spin systems
- Entanglement marginal problems
- Metrology and multipartite entanglement in measurement-induced phase transition
- NOON States via Quantum Walk of Bound Particles
- Multipartite entanglement in the 1-D spin- Heisenberg Antiferromagnet
- Multipartite-Entanglement Dynamics in Regular-to-Ergodic Transition: a Quantum-Fisher-Information approach
- Quantum Fisher Information and multipartite entanglement in spin-1 chains
- Squeezing and quantum approximate optimization
- Bipartite charge fluctuations in one-dimensional superconductors and insulators
- Thermodynamic principle for quantum metrology
- Optimal Conventional Measurements for Quantum-Enhanced Interferometry
- Magnetic excitations, non-classicality and quantum wake spin dynamics in the Hubbard chain
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
- Spin-1 models in the ultrastrong coupling regime of circuit QED
- Global entanglement in a topological quantum phase transition
- Semiclassical dynamics of a disordered two-dimensional Hubbard model with long-range interactions
- Estimates of the Quantum Fisher Information in the Anti-Ferromagnetic Heisenberg Spin Chain with Uniaxial Anisotropy
- Quantum entanglement and quantum geometry measured with inelastic X-ray scattering
- Probing the dynamic structure factor of a neutral Fermi superfluid along the BCS-BEC crossover using atomic impurity qubits
- Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions
- Quantum Zeno effect in correlated qubits
- Multiparticle Entanglement Dynamics of Quantum Chaos in a Bose-Einstein condensate
- Many-Body Entanglement in Short-Range Interacting Fermi Gases for Metrology
- Hierarchies of Frequentist Bounds for Quantum Metrology: From Cramér-Rao to Barankin
- Continuous-variable quantum sensing of a dissipative reservoir
- Resolution-enhanced entanglement detection
- Quantum delocalization on correlation landscape: The key to exponentially fast multipartite entanglement generation
- Mott-Anderson Metal-Insulator Transitions from Entanglement
- Multipartite entanglement of the topologically ordered state in a perturbed toric code
- Bipartite Fluctuations and Topology of Dirac and Weyl Systems
- Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
- Multipartite entanglement and quantum Fisher information in conformal field theories
- Scaling of macroscopic superpositions close to a quantum phase transition
- Krylov shadow tomography: Efficient estimation of quantum Fisher information
- When can localized spins interacting with conduction electrons in ferro- or antiferromagnets be described classically via the Landau-Lifshitz equation: Transition from quantum many-body entangled to quantum-classical nonequilibrium states
- Strange correlators for topological quantum systems from bulk-boundary correspondence
- Mediator assisted cooling in quantum annealing
- Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
- Linear response theory for quantum Gaussian processes
- Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model
- Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
- Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
- Metrologically useful states of spin-1 Bose condensates with macroscopic magnetization
- Entanglement and quantum correlations in the XX spin- honeycomb lattice
- Tutorial: Extracting entanglement signatures from neutron spectroscopy
- The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
- Efficient entanglement generation and detection of generalized stabilizer states
- Spin dynamics in the Dirac spin liquid YbZnGaO
- Classical route to ergodicity and scarring in collective quantum systems
- Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
- Diagnosing Quantum Phases Using Long-Range Two-Site Quantum Resource Behaviors
- Noise-Robust Detection of Quantum Phase Transitions
- Probing, Quantifying and Freezing Coherence in a Thermal Ensemble of Atoms
- Optimal entanglement witnesses: a scalable data-driven approach
- Effects of local decoherence on quantum critical metrology
- Entanglement and entropy production in coupled single-mode Bose-Einstein condensates
- Amplified multipartite entanglement witnessed in a quantum critical metal
- Introduction to quantum entanglement in many-body systems
- Reconstructing the spatial structure of quantum correlations in materials
- Quantum geometry of bosonic Bogoliubov quasiparticles
- Genuine Multipartite Entanglement in Quantum Optimization
- Thermal critical dynamics from equilibrium quantum fluctuations
- Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
- Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
- Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain
- Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
- Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry
- Extracting Many-Body Quantum Resources within One-Body Reduced Density Matrix Functional Theory
- Exploring Many-body Interactions Through Quantum Fisher Information
- Geometry-induced entanglement in a mass-imbalanced few-fermion system
- Genuine Multipartite Entanglement induced by a Thermal Acoustic Reservoir
- Universal Characterization of Quantum Many-Body States through Local Information
- Quantum information flow in impurity qubits interacting with Bose-Bose mixtures
- Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
- Entanglement Dynamics between Ising Spins and a Central Ancilla
- State Space Geometry of the Spin-1 Antiferromagnetic Heisenberg Chain
- Can multipartite entanglement be characterized by two-point connected correlation functions ?
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- The Future of the Correlated Electron Problem
- Subexponentially growing Hilbert space and nonconcentrating distributions in a constrained spin model
- Entanglement detection in quantum materials with competing orders
- Ultrafast pump-probe phase-randomized tomography
- Multipartite entanglement structure of monitored quantum circuits
- High-temperature quantum coherence of spinons in a rare-earth spin chain
- Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
- Conditional global entanglement in a Kosterlitz-Thouless quantum phase transition
- Entanglement in the pseudogap regime of cuprate superconductors
- Linear semi-infinite programming approach for entanglement quantification
- Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain
- Critical slowing down of multi-atom entanglement by Rydberg blockade
- Spin-Energy Entanglement of a Time-Focused Neutron
- Measuring multipartite quantum correlations by thermodynamic work extraction
- Entanglement in the Quantum Spherical Model -- a Review
- Quantum-limited generalized measurement for tunnel-coupled condensates
- Precision measurement for open systems by non-hermitian linear response
- Measuring temporal entropies in experiments
- Quantum Fisher information in a strange metal
- Uncertainty relations between quantum Fisher information and entanglement monotones
- Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
- Quantum Fisher information as a witness of non-Markovianity and criticality in the spin-boson model
- -Deformed Rainbows: a Universal Simulator of Free Entanglement Spectra
- Adiabatic Sensing Enhanced by Quantum Criticality
- Quantum Criticality in the infinite-range Transverse Field Ising Model
- Estimating time in quantum chaotic systems and black holes
- Entanglement and private information in many-body thermal states
- Kondo frustration via charge fluctuations: a route to Mott localisation
- Macroscopic Schrödinger-cat states of nonequilibrium electrons induced by cat-state optical driving and projective measurements on the light field
- Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
- Witnessing Disorder in Quantum Magnets
- Phase Transitions in Light-Matter Systems for Quantum Sensing
- Semi-classical geometric tensor in multiparameter quantum information
- Stability of thermal equilibrium in long-range quantum systems
- Magnetoelastic control of quantum correlations and field sensitivity in a spin-1/2 Heisenberg dimer
- Spinon excitations and spin correlations in the one-dimensional quantum magnet -VOSO probed by Raman spectroscopy
- Nuclear magnetic resonance studies in a model transverse field Ising system
- Multipartite entanglement in quantum phase transitions
- Toward Witnessing Molecular Exciton Entanglement from Spectroscopy
- Multipartite Entanglement in Crossing the Quantum Critical Point
- Thermal entanglement in Heisenberg chains via distance between states
- Critical Scaling of the Quantum Wasserstein Distance
- Bootstrapping entanglement in quantum spin systems
- Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
- Few strongly interacting fermions of different mass driven in the vicinity of a critical point
- Exploring Many-Body Quantum Geometry Beyond the Quantum Metric with Correlation Functions: A Time-Dependent Perspective
- Time correlations from steady-state expectation values
- Probing non-Gaussian correlations through entanglement generation in a many-body quantum system
- Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems
- Bounds on quantum Fisher information and uncertainty relations for thermodynamically conjugate variables
- Witnessing Spin-Orbital Entanglement using Resonant Inelastic X-Ray Scattering