Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors
arXiv:1605.07929 · doi:10.1140/epjd/e2016-70056-2
Abstract
We derive a general expression for standard tensor norm of -body correlation tensors for -qubit complete graph states. With the help of this expression, we formulate a separability criterion that identifies non--separability of a class of -qubit complete graph states, including GHZ state. We illustrate the performance of our criterion by considering the -qubit complete graph states added with colored product noise. We also demonstrate that few local measurement settings are sufficient to evaluate our criterion.
14 pages, 4 figures, To appear in EPJD
References in corpus (12)
- Entanglement detection
- Multi-party entanglement in graph states
- Experimental entanglement of six photons in graph states
- Entanglement Detection in the Stabilizer Formalism
- Partial separability and entanglement criteria for multiqubit quantum states
- Scalable Generation of Graph-State Entanglement through Realistic Linear Optics
- Multipartite entanglement detection via structure factors
- Further results on entanglement detection and quantification from the correlation matrix criterion
- Entanglement and local information access for graph states
- Multiparticle covariance matrices and the impossibility of detecting graph state entanglement with two-particle correlations
- Criteria for non--separability of -partite quantum states
- On the non--separability of Dicke class of states and -qudit W states