Can multipartite entanglement be characterized by two-point connected correlation functions ?
arXiv:2108.03605 · doi:10.1088/1751-8121/acdd36
Abstract
We discuss under which conditions multipartite entanglement in mixed quantum states can be characterized only in terms of two-point connected correlation functions, as it is the case for pure states. In turn, the latter correlations are defined via a suitable combination of (disconnected) one- and two-point correlation functions. In contrast to the case of pure states, conditions to be satisfied turn out to be rather severe. However, we were able to identify some interesting cases, as when the point-independence is valid of the one-point correlations in each possible decomposition of the density matrix, or when the operators that enter in the correlations are (semi-)positive/negative defined.
References in corpus (60)
- Quantum entanglement
- Advances in Quantum Metrology
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Topological entanglement entropy
- Entanglement detection
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Quantum metrology with nonclassical states of atomic ensembles
- Entanglement in a simple quantum phase transition
- Entanglement spectrum of a topological phase in one dimension
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum spin squeezing
- Quantum metrology from a quantum information science perspective
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Quantum Phase Transitions and Bipartite Entanglement
- Fisher Information and entanglement of non-Gaussian spin states
- Lieb-Robinson Bounds and the Exponential Clustering Theorem
- Entanglement spectrum of topological insulators and superconductors
- Measuring multipartite entanglement via dynamic susceptibilities
- Entanglement Certification From Theory to Experiment
- Entanglement entropy for the long range Ising chain
- Multipartite entanglement in spin chains
- Locality in Quantum and Markov Dynamics on Lattices and Networks
- Sensitivity Bounds for Multiparameter Quantum Metrology
- A short review on entanglement in quantum spin systems
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- Extremal properties of the variance and the quantum Fisher information
- Non-local order in gapless systems: Entanglement Spectrum in Spin Chains
- Entanglement entropy of excited states
- Quantum critical metrology
- Quantum Fisher information for density matrices with arbitrary ranks
- Multipartite entanglement in topological quantum phases
- Wave Function and Strange Correlator of Short Range Entangled states
- Scaling of the entanglement spectrum near quantum phase transitions
- Scaling of genuine multiparticle entanglement at a quantum phase transition
- Metrological Detection of Multipartite Entanglement from Young Diagrams
- Long-range topological insulators and weakened bulk-boundary correspondence
- Witnessing Multipartite Entanglement without Entanglement Witness Operators
- Efficient entanglement criteria for discrete, continuous, and hybrid variables
- Entanglement of excited states in critical spin chians
- Characterization of topological states via dual multipartite entanglement
- Multipartite Entanglement at Finite Temperature
- Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
- Effective Theory and Breakdown of Conformal Symmetry in a Long-Range Quantum Chain
- Entanglement in fermionic chains with finite range coupling and broken symmetries
- Quantum Entanglement in Second-quantized Condensed Matter Systems
- Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
- Quantum Fisher Information as the Convex Roof of Variance
- Geometric Entanglement in Topologically Ordered States
- Edge insulating topological phases in a two-dimensional long-range superconductor
- Multipartite-Entanglement Tomography of a Quantum Simulator
- Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking
- Entanglement and squeezing in continuous-variable systems
- Many-Body Entanglement in Short-Range Interacting Fermi Gases for Metrology
- Practical Entanglement Estimation for Spin-System Quantum Simulators
- Multipartite entanglement of the topologically ordered state in a perturbed toric code
- Strange correlators for topological quantum systems from bulk-boundary correspondence
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- Review: Quantum Metrology and Sensing with Many-Body Systems
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