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Device-independent tomography of multipartite quantum states

Károly F. Pál, Tamás Vértesi, and Miguel Navascués
Phys. Rev. A 90, 042340 – Published 31 October 2014

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.

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  • Received 23 July 2014

DOI:https://doi.org/10.1103/PhysRevA.90.042340

©2014 American Physical Society

Authors & Affiliations

Károly F. Pál1, Tamás Vértesi1, and Miguel Navascués2

  • 1Institute for Nuclear Research, Hungarian Academy of Sciences, H-4001 Debrecen, P.O. Box 51, Hungary
  • 2Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

See Also

Robust self-testing of the three-qubit W state

Xingyao Wu, Yu Cai, Tzyh Haur Yang, Huy Nguyen Le, Jean-Daniel Bancal, and Valerio Scarani
Phys. Rev. A 90, 042339 (2014)

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Vol. 90, Iss. 4 — October 2014

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