Measure of genuine multipartite entanglement with computable lower bounds

Abstract

We introduce an intuitive measure of genuine multipartite entanglement which is based on the well-known concurrence. We show how lower bounds on this measure can be derived that also meet important characteristics of an entanglement measure. These lower bounds are experimentally implementable in a feasible way enabling quantification of multipartite entanglement in a broad variety of cases.

5 pages, 2 figures

References in corpus (9)

• Entanglement detection
• Partial separability and entanglement criteria for multiqubit quantum states
• Multipartite entanglement detection via structure factors
• Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing
• Multipartite entanglement measure for all discrete systems
• Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
• A composite parameterization of unitary groups, density matrices and subspaces
• Two computable sets of multipartite entanglement measures
• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement

Cited by in corpus (96)

• Entanglement Certification $-$ From Theory to Experiment
• Chip-to-chip quantum teleportation and multi-photon entanglement in silicon
• The structure of multidimensional entanglement in multipartite systems
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• The battery capacity of energy-storing quantum systems
• Thermodynamic cost of creating correlations
• Genuine tripartite nonlocality and entanglement in curved spacetime
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Activation of genuine multipartite entanglement: Beyond the single-copy paradigm of entanglement characterisation
• Genuine multipartite entanglement measure
• Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
• Genuine Multipartite Entanglement in the Cluster-Ising Model
• Quantum gates and multipartite entanglement resonances realized by non-uniform cavity motion
• Topological and nematic ordered phases in many-body cluster-Ising models
• Measure and detection of genuine multipartite entanglement for tripartite systems
• Genuine N-partite entanglement and distributed relationships in the background of dilation black holes
• Thermodynamic Signatures of Genuinely Multipartite Entanglement
• Concurrence triangle induced genuine multipartite entanglement measure
• Partial transpose as a direct link between concurrence and negativity
• Multipartite entanglement measures: a review
• Tripartite entanglement measure under local operations and classical communication
• Three-body Entanglement in Particle Decays
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• Geuine tripartite entanglement in three-flavor neutrino oscillations
• Parameterized multipartite entanglement measures
• Unification of quantum resources in tripartite systems
• Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects
• A Variational Approach to the Quantum Separability Problem
• Nonlocality of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Deterministic Generation of Multipartite Entanglement via Causal Activation in the Quantum Internet
• Quantifying genuine tripartite entanglement by reshaping the state
• Detection of multipartite entanglement via quantum Fisher information
• Genuine Multipartite Entanglement of Superpositions
• Multipartite Entanglement: A Journey Through Geometry
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Improved entanglement detection with subspace witnesses
• When is a Genuine Multipartite Entanglement Measure Monogamous?
• Coherent control of multipartite entanglement
• Macroscopic Observables Detecting Genuine Multipartite Entanglement and Partial Inseparability in Many-Body Systems
• Quantum Fisher information-based detection of genuine tripartite entanglement
• Unexpected Robustness of Multipartite Entanglement against Sudden Death from Spontaneous Emission
• Emergence of Intra-Particle Entanglement and Time-Varying Violation of Bell's Inequality in Dirac Matter
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
• Genuine multipartite entanglement measures based on multi-party teleportation capability
• Faithful geometric measures for genuine tripartite entanglement
• A $(k+1)$-partite entanglement measure of $N$-partite quantum states
• Entangled States are Harder to Transfer than Product States
• Managing the Three-Party Entanglement Challenge
• Complete Genuine Multipartite Entanglement Monotone
• Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices
• Experimental Examination of Entanglement Estimates
• Detection of the quantum states containing at most $k-1$ unentangled particles
• A geometric formulation to measure global and genuine entanglement in three-qubit systems
• Entanglement and entropy in multipartite systems: a useful approach
• Maximally genuine multipartite entangled mixed X-states of N-qubits
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance
• Designing three-way entangled and nonlocal two-way entangled single particle states via alternate quantum walks
• Criteria of genuine multipartite entanglement based on correlation tensors
• System-environment dynamics of GHZ-like states in noninertial frames
• Geometric genuine multipartite entanglement for four-qubit systems
• Distribution of spin correlation strengths in multipartite systems
• On genuine entanglement for tripartite systems
• Heuristic for estimation of multiqubit genuine multipartite entanglement
• Tetrahedron genuine entanglement measure of four-qubit systems
• Quantum pions
• Detecting genuine multipartite entanglement using moments of positive maps
• Entanglement hierarchies in multipartite scenarios
• Quantifying multipartite quantum states by ($k+1$)-partite entanglement measures
• Tensor Rank and Other Multipartite Entanglement Measures of Graph States
• Long-distance genuine multipartite Entanglement between Magnetic Defects in Spin Chains
• Strategies for generating separable photon triplets in waveguides and ring resonators
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• The transfer of nonlocality between two- and three-qubit dissipative systems with counter-rotating-wave terms
• A Sharp Geometric Measure of Entanglement
• Genuine multipartite entanglement from many-electron systems
• Classification of three-qubit genuine entangled states using concurrence fill
• Efficient detection for quantum states containing fewer than $k$ unentangled particles in multipartite quantum systems
• Multiparty Entanglement Microscopy of Quantum Ising models in 1d, 2d and 3d
• Localizing multipartite entanglement with local and global measurements
• Entanglement of Assistance as a measure of multiparty entanglement
• Detection of Genuine Multipartite Entanglement in Arbitrary Multipartite systems
• Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
• Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits
• Study on Entanglement and its Utility in Information Processing
• Ground state many-body quantum entanglement of frustrated transverse field models on square lattice
• Entanglement Superactivation in Multiphoton Distillation Networks
• Analogs of absolutely maximally entangled states in nonlocal correlations via the sheaf-theoretic framework and its applications
• Dynamics of tripartite correlations for three qubits in independent thermal reservoirs
• Chemical bonding concepts emerge naturally from maximally entangled atomic orbitals
• About Factorization of Quantum States with Few Qubits
• Strain induced coupling and quantum information processing with hexagonal boron nitride quantum emitters
• Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions
• Genuine tripartite entanglement in Bhabha scattering with an entangled spectator particle
• Study of decoherence of entangled states made up of two basic states in a linear chain of three qubits