A Witness of Multipartite Entanglement Strata

Details A Witness of Multipartite Entanglement Strata A Witness of Multipartite Entanglement Strata

2007-10-10

arxiv.org/abs/0710.1928v2

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

10.1088/1367-2630/10/5/053026

We describe an entanglement witness for $N$-qubit mixed states based on the properties of $N$-point correlation functions. Depending on the degree of violation, this witness can guarantee that no more than $M$ qubits are separable from the rest of the state for any $M\leq N$, or that there is some genuine $M$-party or greater multipartite entanglement present. We illustrate the use our criterion by investigating the existence of entanglement in thermal stabilizer states, where we demonstrate that the witness is capable of witnessing bound-entangled states. Intriguingly, this entanglement can be shown to persist in the thermodynamic limit at arbitrary temperature.

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