Macroscopic Observables Detecting Genuine Multipartite Entanglement and Partial Inseparability in Many-Body Systems

Abstract

We show a general approach for detecting genuine multipartite entanglement (GME) and partial inseparability in many-body-systems by means of macroscopic observables (such as the energy) only. We show that the obtained criteria, the "GME gap" and "the k-entanglement gap", detect large areas of genuine multipartite entanglement and partial entanglement in typical many body states, which are not detected by other criteria. As genuine multipartite entanglement is a necessary property for several quantum information theoretic applications such as e.g. secret sharing or certain kinds of quantum computation, our methods can be used to select or design appropriate condensed matter systems.

arXiv comment4 pages, 3 figures, published version, title extended

References in corpus (24)

• Quantum Cryptography
• Quantum secret sharing
• Quantum entanglement in photosynthetic light harvesting complexes
• Witnessing multipartite entanglement
• Measure of genuine multipartite entanglement with computable lower bounds
• Detection of high-dimensional genuine multi-partite entanglement of mixed states
• Entanglement and entangling power of the dynamics in light-harvesting complexes
• Quantum control and entanglement in a chemical compass
• Hierarchies of Geometric Entanglement
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Revealing Bell's Nonlocality for Unstable Systems in High Energy Physics
• Towards measuring Entanglement Entropies in Many Body Systems
• Multipartite entanglement detection via structure factors
• Multipartite entanglement in quantum spin chains
• Nonlocality and entanglement in a strange system
• Heat Capacity as A Witness of Entanglement
• Long-distance entanglement in many-body atomic and optical systems
• Energy and multipartite entanglement in multidimensional and frustrated spin models
• Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing
• Entanglement, correlations, and the energy gap in many-body quantum systems
• Macroscopic Entanglement and Phase Transitions
• Role of many-body entanglement in decoherence processes
• Maximizing nearest neighbour entanglement in finitely correlated qubit--chains
• Entanglement distribution revealed by macroscopic observations

Cited by in corpus (8)

• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Genuine Multipartite Entanglement in the $XY$ Model
• Genuine Multipartite Entanglement in the Cluster-Ising Model
• Towards an Einstein-Podolsky-Rosen paradox between two macroscopic atomic ensembles at room temperature
• Hierarchy of multipartite nonlocality in the nonsignaling scenario
• Certification of genuine multipartite entanglement in spin ensembles with measurements of total angular momentum
• Quantum Information Aspects on Bulk and Nano Interacting Fermi System: Spin-Space Density Matrix Approach
• Partial Multipartite Entanglement in the Matrix Product State Formalism