Resolution-enhanced entanglement detection

Abstract

We formulate a general family of entanglement criteria for multipartite systems. Fisher information criteria compare the sensitivity to unitary rotations with the variances of suitable local observables. Generalized squeezing-type criteria provide lower bounds that are less stringent but only require measurements of second moments. The enhancement due to local access to the individual subsystems is studied in detail for the case of $N$ spin-$1/2$ particles. The discussed techniques can be readily implemented in current experiments with trapped ions in Paul traps and neutral atoms in optical lattices.

13 pages, 5 figures, 1 table

References in corpus (50)

• Quantum entanglement
• Advances in Quantum Metrology
• Quantum metrology
• Entanglement detection
• Photonic quantum technologies
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Quantum computing with trapped ions
• Measuring entanglement entropy through the interference of quantum many-body twins
• 14-qubit entanglement: creation and coherence
• Many-particle entanglement with Bose--Einstein condensates
• Atom chip based generation of entanglement for quantum metrology
• Effective quantum spin systems with ion traps
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Observation of entanglement propagation in a quantum many-body system
• Quantum spin squeezing
• Non-local propagation of correlations in long-range interacting quantum systems
• Squeezing and entanglement in a Bose-Einstein condensate
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Entanglement and Extreme Spin Squeezing
• Twin matter waves for interferometry beyond the classical limit
• Fisher Information and entanglement of non-Gaussian spin states
• Measures and dynamics of entangled states
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Single-atom imaging of fermions in a quantum-gas microscope
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• A Quantum Gas Microscope for Fermionic Atoms
• Measuring multipartite entanglement via dynamic susceptibilities
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Detecting multiparticle entanglement of Dicke states
• Remote creation of hybrid entanglement between particle-like and wave-like optical qubits
• Entangling quantum and classical states of light
• Spin squeezing and entanglement
• Reduced back-action for phase sensitivity 10 times beyond the standard quantum limit
• Detecting large quantum Fisher information with finite measurement precision
• Not all pure entangled states are useful for sub shot-noise interferometry
• Sufficient conditions for three-particle entanglement and their tests in recent experiments
• Satisfying the Einstein-Podolsky-Rosen criterion with massive particles
• Non-equilibrium dynamics of Ising models with decoherence: an exact solution
• Witnessing Multipartite Entanglement without Entanglement Witness Operators
• Efficient entanglement criteria for discrete, continuous, and hybrid variables
• Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles
• Tighter quantum uncertainty relations follow from a general probabilistic bound
• Spin squeezing criterion with local unitary invariance
• Semiclassical excited-state signatures of quantum phase transitions in spin chains with variable-range interactions

Cited by in corpus (12)

• Quantum metrology with nonclassical states of atomic ensembles
• Entanglement Certification $-$ From Theory to Experiment
• Metrological Nonlinear Squeezing Parameter
• Entanglement between identical particles is a useful and consistent resource
• Statistical speed of quantum states: Generalized quantum Fisher information and Schatten speed
• Activating hidden metrological usefulness
• Multiparameter quantum metrology and mode entanglement with spatially split nonclassical spin states
• Entanglement and squeezing in continuous-variable systems
• Relating spin squeezing to multipartite entanglement criteria for particles and modes
• Genuine Multipartite Entanglement induced by a Thermal Acoustic Reservoir
• Iterative optimization in quantum metrology and entanglement theory using semidefinite programming
• Enhancement of the metrological sensitivity limit through knowledge of the average energy