Measures of entanglement in multipartite bound entangled states
arXiv:quant-ph/0308031 · doi:10.1103/PhysRevA.70.022322
Abstract
Bound entangled states are states that are entangled but from which no entanglement can be distilled if all parties are allowed only local operations and classical communication. However, in creating these states one needs nonzero entanglement resources to start with. Here, the entanglement of two distinct multipartite bound entangled states is determined analytically in terms of a geometric measure of entanglement and a related quantity. The results are compared with those for the negativity and the relative entropy of entanglement.
5 pages, no figure; title changed
References in corpus (1)
Cited by in corpus (27)
- Quantum entanglement
- Hierarchies of Geometric Entanglement
- Bound entanglement maximally violating Bell inequalities: quantum entanglement is not equivalent to quantum security
- Additivity and non-additivity of multipartite entanglement measures
- Relative entropy of entanglement for certain multipartite mixed states
- Multi-particle entanglement manipulation under positive partial transpose preserving operations
- Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
- Classification of Entanglement in Symmetric States
- A comparison of old and new definitions of the geometric measure of entanglement
- On the generation of multipartite entangled states in Josephson architectures
- Detecting genuine multipartite entanglement via machine learning
- Geometric Measure of Entanglement and Shared Quantum States
- Multi-Partite Entanglement Inequalities via Spin Vector Geometry
- Geometric discord and Measurement-induced nonlocality for well known bound entangled states
- Analyzing quantum entanglement with the Schmidt decomposition in operator space
- Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
- Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
- Quantifying mixed-state quantum entanglement by optimal entanglement witness
- Evaluation of entanglement measures by a single observable
- Accessible quantification of multiparticle entanglement
- Evaluation of two different entanglement measures on a bound entangled state
- Triangle inequalities in coherence measures and entanglement concurrence
- Spin Squeezing by means of Driven Superradiance
- Creating multiphoton-polarization bound-entangled states
- Geometric entanglement in the Laughlin wave function
- Exact Entanglement Cost of Multi-Qubit Bound Entangled States
- Effect of entanglement on geometric phase for multi-qubit states