Criteria for non-$k$-separability of $n$-partite quantum states

Abstract

We develop separability criteria to identify non-$k$-separability $(k=2,3,\dots ,n)$ and genuine multipartite entanglement in different classes of mixed $n$-partite quantum states using elements of density matrices. With the help of these criteria, we detect non-$k$-separability in $n$-qudit GHZ and W states respectively added with white noise. We also discuss the experimental implementation of our criteria by means of local observables.

arXiv comment9 pages, accepted for publication in EPJD

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Cited by in corpus (9)

• Detection of $k$-partite entanglement and $k$-nonseparability of multipartite quantum states
• Detecting the dimensionality of genuine multi-particle entanglement
• Necessary and sufficient criterion for k-separability of N-qubit noisy GHZ states
• Certifying Quantum Separability with Adaptive Polytopes
• All multipartite entanglements are quantum coherences in locally distinguishable bases
• On the non-$k$-separability of Dicke class of states and $N$-qudit W states
• Squashed Entanglement from Generalized Rindler Wedge
• Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors
• Full Bell locality of a noisy state for $N\ge 3$ nonlocally entangled qudits