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.

See also the related work of arXiv:1407.5769

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Cited by in corpus (13)

• Experimental Verification of Multipartite Entanglement in Quantum Networks
• Robust self testing of the 3-qubit $W$ state
• Semidefinite programming relaxations for quantum correlations
• Quantum networks self-test all entangled states
• Analysing quantum systems with randomised measurements
• Decoherence Effects on the Non-locality of Symmetric States
• Nonlocality of $W$ and Dicke states subject to losses
• An elegant proof of self-testing for multipartite Bell inequalities
• Custom Bell inequalities from formal sums of squares
• Symmetric quantum states: a review of recent progress
• Self-testing of different entanglement resources via fixed measurement settings
• Extremal Tsirelson inequalities
• Device-Independent Certification of Multipartite Distillable Entanglement