Relating spin squeezing to multipartite entanglement criteria for particles and modes
arXiv:2004.01591 · doi:10.1103/PhysRevA.102.012412
Abstract
Entanglement witnesses based on first and second moments exist in the form of spin-squeezing criteria for the detection of particle entanglement from collective measurements, and in form of modified uncertainty relations for the detection of mode entanglement or steering. By revealing a correspondence between them, we show that metrologically useful spin squeezing reveals multimode entanglement in symmetric spin states that are distributed into addressable modes. We further derive tight state-independent multipartite entanglement bounds on the spin-squeezing coefficient and point out their connection to widely-used entanglement criteria that depend on the state's polarization. Our results are relevant for state-of-the-art experiments where symmetric entangled states are distributed into a number of addressable modes, such as split spin-squeezed Bose-Einstein condensates.
arXiv commentcomments are welcome
References in corpus (51)
- Quantum entanglement
- Advances in Quantum Metrology
- Entanglement detection
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Quantum metrology with nonclassical states of atomic ensembles
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Many-particle entanglement with Bose--Einstein condensates
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum spin squeezing
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Entanglement and Extreme Spin Squeezing
- Detecting genuine multipartite continuous-variable entanglement
- Bound entangled Gaussian states
- Twin matter waves for interferometry beyond the classical limit
- Violation of local uncertainty relations as a signature of entanglement
- Quantum Enhanced Multiple Phase Estimation
- Entanglement Certification From Theory to Experiment
- Multi-parameter estimation in networked quantum sensors
- Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in a Bose-Einstein condensate
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Characterizing the entanglement of bipartite quantum systems
- Entanglement between two spatially separated atomic modes
- Experimental demonstration of continuous variable polarization entanglement
- Sensitivity Bounds for Multiparameter Quantum Metrology
- Extracting entanglement from identical particles
- Optimal entanglement witnesses for continuous-variable systems
- Indistinguishability of elementary systems as resource for quantum information processing
- Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
- Metrological Nonlinear Squeezing Parameter
- Criteria for genuine N-partite continuous variable entanglement and Einstein-Podolsky_Rosen steering
- Separability criterion for separate quantum systems
- Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles
- Split spin-squeezed Bose-Einstein Condensates
- Characterizing the multipartite continuous-variable entanglement structure from squeezing coefficients and the Fisher information
- Optimally squeezed spin states
- k-stretchability of entanglement, and the duality of k-separability and k-producibility
- Entanglement and nonlocality in multi-particle systems
- Uncertainty relations for the realisation of macroscopic quantum superpositions and EPR paradoxes
- Does a large quantum Fisher information imply Bell correlations?
- Systematic Construction of Genuine Multipartite Entanglement Criteria using Uncertainty Relations
- Entanglement and squeezing in continuous-variable systems
- Spin-squeezed atomic crystal
- Resolution-enhanced entanglement detection
- Criteria to detect genuine multipartite entanglement using spin measurements
- Optimal entanglement witnesses in a split spin-squeezed Bose-Einstein condensate
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- Full multipartite steering inseparability, genuine multipartite steering and monogamy for continuous variable systems
- Bell correlations in a split two-mode-squeezed Bose-Einstein condensate
- Characterizing Multipartite Non-Gaussian Entanglement for Three-Mode Spontaneous Parametric Down-Conversion Process
- Bounding entanglement dimensionality from the covariance matrix
- Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
- Quantum metrology of rotations with mixed spin states
- Assisted metrology and preparation of macroscopic superpositions with split spin-squeezed states
- Superselection rules and bosonic quantum computational resources
- Entanglement of Local Hidden States
- Entanglement of particles versus entanglement of fields: independent quantum resources
- Quantum entanglement in phase space
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