Device-independent tomography of multipartite quantum states

Abstract

In the usual tomography of multipartite entangled quantum states one assumes that the measurement devices used in the laboratory are under perfect control of the experimenter. In this paper, using the so-called SWAP concept introduced recently, we show how one can remove this assumption in realistic experimental conditions and nevertheless be able to characterize the produced multipartite state based only on observed statistics. Such a black box tomography of quantum states is termed self-testing. As a function of the magnitude of the Bell violation, we are able to self-test emblematic multipartite quantum states such as the three-qubit W state, the three- and four-qubit Greenberger-Horne-Zeilinger states, and the four-qubit linear cluster state.

arXiv commentSee also the related work of arXiv:1407.5769

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• All Pure Bipartite Entangled States can be Self-Tested
• Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
• Geometry of the set of quantum correlations
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