Generation of scalable many-body Bell correlations in spin chains with short-range two-body interactions

Abstract

Dynamical generation of strong and scalable quantum resources, like many-body entanglement and Bell correlations, in spin-$1/2$ chains, is possible with all-to-all interactions, either for constant interaction strength realizing one-axis twisting protocol or for power-law decaying potentials. We show, however, that such quantum resources can also be dynamically generated with a finite range of interactions. We identify a necessary critical range and indicate a critical time when scalable quantum correlations appear. Finally, we show that the certification of generated states is accessible in the modern quantum simulator platforms.

arXiv comment6 figures

References in corpus (75)

• Quantum entanglement
• Bell nonlocality
• Quantum metrology with nonclassical states of atomic ensembles
• Scalable multi-particle entanglement of trapped ions
• Predicting Many Properties of a Quantum System from Very Few Measurements
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Efficient quantum state tomography
• The European Quantum Technologies Roadmap
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Universal digital quantum simulation with trapped ions
• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Quantum Steering
• Recovering low-rank matrices from few coefficients in any basis
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Non-maximally entangled states: production, characterization and utilization
• 10-qubit entanglement and parallel logic operations with a superconducting circuit
• Bell's theorem for general N-qubit states
• Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
• The randomized measurement toolbox
• Quantum certification and benchmarking
• Spin-Nematic Squeezed Vacuum in a Quantum Gas
• Mixed-state entanglement from local randomized measurements
• Efficient tomography of a quantum many-body system
• Squeezed-Light Optical Magnetometry
• Permutationally invariant quantum tomography
• Bell Correlations in a Bose-Einstein Condensate
• Detecting non-locality in multipartite quantum systems with two-body correlation functions
• Efficient estimation of Pauli observables by derandomization
• Sample-optimal tomography of quantum states
• Experimental neural network enhanced quantum tomography
• Probing the dynamical phase transition with a superconducting quantum simulator
• Realizing spin squeezing with Rydberg interactions in a programmable optical clock
• Relating out-of-time-order correlations to entanglement via multiple-quantum coherences
• Unified criteria for multipartite quantum nonlocality
• Scalable spin squeezing in a dipolar Rydberg atom array
• Permutationally invariant state reconstruction
• Scalable reconstruction of density matrices
• Classical Shadows With Noise
• Bell inequalities for continuous-variable correlations
• Spin squeezing in a bimodal condensate: spatial dynamics and particle losses
• Enhanced and reduced atom number fluctuations in a BEC splitter
• Quantum-enhanced sensing on an optical transition via emergent collective quantum correlations
• Entanglement, EPR steering, and Bell-nonlocality criteria for multipartite higher-spin systems
• Many-body nonlocality as a resource for quantum-enhanced metrology
• Realizing distance-selective interactions in a Rydberg-dressed atom array
• Neural-network quantum state tomography
• Prospects and challenges for squeezing-enhanced optical atomic clocks
• Device-independent witnesses of entanglement depth from two-body correlators
• One- and two-axis squeezing via laser coupling in an atomic Fermi-Hubbard model
• Probing spin correlations in a Bose-Einstein condensate near the single atom level
• Probing quantum correlations in many-body systems: a review of scalable methods
• Measuring Arbitrary Physical Properties in Analog Quantum Simulation
• Bell correlations depth in many-body systems
• Robust spin squeezing from the tower of states of $U(1)$-symmetric spin Hamiltonians
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Bell inequalities for Continuous-Variable Measurements
• Two-axis-twisting spin squeezing by multi-pass quantum erasure
• Producing and storing spin-squeezed states and Greenberger-Horne-Zeilinger states in a one-dimensional optical lattice
• Shadow tomography from emergent state designs in analog quantum simulators
• Optimization of device-independent witnesses of entanglement depth from two-body correlators
• One-axis twisting as a method of generating many-body Bell correlations
• Characterizing quantum correlations in spin chains
• Inferring Nonlinear Many-Body Bell Inequalities From Average Two-Body Correlations: Systematic Approach for Arbitrary Spin-j Ensembles
• A randomized measurement toolbox for an interacting Rydberg-atom quantum simulator
• Tunable-spin-model generation with spin-orbit-coupled fermions in optical lattices
• Accelerating many-body entanglement generation by dipolar interactions in the Bose-Hubbard model
• One-dimensional quantum computing with a 'segmented chain' is feasible with today's gate fidelities
• Simulating the same physics with two distinct Hamiltonians
• Spin-squeezed atomic crystal
• Spin squeezing in open Heisenberg spin chains
• Certifying the quantum Fisher information from a given set of mean values: a semidefinite programming approach
• Quantum-enhanced interferometry and the structure of twisted states
• Variational generation of spin squeezing on one-dimensional quantum devices with nearest-neighbor interactions

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