Evaluating the geometric measure of multiparticle entanglement

Abstract

We present an analytical approach to evaluate the geometric measure of multiparticle entanglement for mixed quantum states. Our method allows the computation of this measure for a family of multiparticle states with a certain symmetry and delivers lower bounds on the measure for general states. It works for an arbitrary number of particles, for arbitrary classes of multiparticle entanglement, and can also be used to determine other entanglement measures.

9 pages, 3 figures, v2: small changes, final version

References in corpus (11)

• Entanglement detection
• Entangled three-qubit states without concurrence and three-tangle
• Estimating entanglement measures in experiments
• Multiparticle entanglement under the influence of decoherence
• Multiqubit symmetric states with high geometric entanglement
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• Linking a distance measure of entanglement to its convex roof
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Cited by in corpus (22)

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• Asymptotic role of entanglement in quantum metrology
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• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
• A new parameterized entanglement monotone
• Quantifying entanglement of maximal dimension in bipartite mixed states
• Computable genuine multimode entanglement measure: Gaussian vs. non-Gaussian
• Nonlocality of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Entanglement properties of quantum grid states
• Parameterized Bipartite Entanglement Measure
• Accessible quantification of multiparticle entanglement
• Evaluation of entanglement measures by a single observable
• Circulating Genuine Multiparty Entanglement in Quantum Network
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Estimating Parameterized Entanglement Measure
• Triangle inequalities in coherence measures and entanglement concurrence
• Production of genuine multimode entanglement in circular waveguides with long-range interactions
• Accessible bounds for general quantum resources
• Characterizing generalized axisymmetric quantum states in $d\times d$ systems
• Quantifying entanglement from the geometric perspective
• Analytically Computable Symmetric Quantum Correlations