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Deutsche Physikalische Gessellschaft IOP Institute of Physics

A witness of multipartite entanglement strata

Dagomir Kaszlikowski1,2,4 and Alastair Kay1,3

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We describe an entanglement witness for N-qubit mixed states based on the properties of N-point correlation functions. As the degree of violation increases beyond different threshold values, or strata, this witness can guarantee that no more than M qubits are separable from the rest of the state for any MN, 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.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.67.Lx Quantum computation architectures and implementations

03.67.Mn Entanglement measures, witnesses, and other characterizations

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 5 (May 2008)

Received 21 February 2008

Published 20 May 2008



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