Maximal Overlap with a Fully Separable State and Translational Invariance in Multipartite Entangled States
arXiv:1008.3486 · doi:10.1103/PhysRevA.82.062116
Abstract
The maximal overlap with the fully separable state for the multipartite entangled pure state with translational invariance is studied explicitly by some exact and numerical evaluations, focusing on the one-dimensional qubit system and some representative types of translational invariance. The results show that the translational invariance of the multipartite state could have an intrinsic effect on the determinations of the maximal overlap and the nearest fully separable state for multipartite entangled states. Furthermore a hierarchy of the basic entangled states with translational invariance is founded, from which one could readily find the maximal overlap and a related fully separable state for the multipartite state composed of different translational invariance structures.
published version. comments welcome
References in corpus (8)
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- The geometric measure of entanglement for symmetric states
- Multiqubit symmetric states with high geometric entanglement
- Universal geometric entanglement close to quantum phase transitions
- Geometric Entanglement in a One-Dimensional Valence Bond Solid State
- Duality and the geometric measure of entanglement of general multiqubit W states
- Geometric Entanglement in Valance-Bond-Solid state