Exchange symmetry and global entanglement and full separability

Abstract

Ichikawa et al. [Phys. Rev. A 78, 052105 (2008)] showed that exchange symmetry gives rise to simple characterization of whether multipartite pure quantum states being either globally entangled or fully separable. In this Brief Report, we provide a simple alternative approach and some extension to their conclusions.

3 pages

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• Quantum entanglement
• The density-matrix renormalization group
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• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Unextendible Product Bases and Bound Entanglement
• Classification of mixed three-qubit states
• Entanglement and permutational symmetry
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• Entanglement of multiparty stabilizer, symmetric, and antisymmetric states
• An entanglement monotone derived from Grover's algorithm
• The geometric measure of entanglement for a symmetric pure state with positive amplitudes
• Geometric Strategy for the Optimal Quantum Search
• Relative entropy of entanglement for certain multipartite mixed states
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• The joys of permutation symmetry: direct measurements of entanglement

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• Cauchy-Schwarz inequality and particle entanglement
• Entanglement of Identical Particles and Coherence in the First Quantization Language
• Connections of geometric measure of entanglement of pure symmetric states to quantum state estimation
• Collective randomized measurements in quantum information processing
• Decomposition of symmetric multipartite observable
• Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice
• Dichotomy of entanglement depth for symmetric states
• Estimation of the geometric measure of entanglement with Wehrl Moments through Artificial Neural Networks
• Entanglement in the symmetric subspace: mapping multipartite to bipartite states