Device-independent certification of multipartite entanglement using measurements performed in randomly chosen triads

• URL: http://arxiv.org/abs/2005.12090v2
• Date: Sat, 29 Aug 2020 07:26:50 GMT
• Title: Device-independent certification of multipartite entanglement using measurements performed in randomly chosen triads
• Authors: Shih-Xian Yang, Gelo Noel Tabia, Pei-Sheng Lin, Yeong-Cherng Liang
• Abstract summary: We consider the problem of demonstrating non-Bell-local correlations by performing local measurements in randomly chosen triads. Our main interest lies on investigating the feasibility of using these correlations to certify multipartite entanglement in a device-independent setting.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the problem of demonstrating non-Bell-local correlations by performing local measurements in randomly chosen triads, i.e., three mutually unbiased bases, on a multipartite Greenberger-Horne-Zeilinger state. Our main interest lies on investigating the feasibility of using these correlations to certify multipartite entanglement in a device-independent setting. In contrast to previous works, our numerical results up to the eight-partite scenario suggest that if each triad is randomly but uniformly chosen according to the Haar measure, one always (except possibly for a set of measure zero) finds Bell-inequality-violating correlations. In fact, a substantial fraction of these is even sufficient to reveal, in a device-independent manner, various higher-order entanglement. In particular, for the specific cases of three parties and four parties, our results---obtained from semidefinite programming---suggest that these randomly generated correlations always reveal, even in the presence of a non-negligible amount of white noise, the genuine multipartite entanglement possessed by these states. In other words, provided local calibration can be carried out to good precision, a device-independent certification of the genuine multipartite entanglement contained in these states can, in principle, also be carried out in an experimental situation without sharing a global reference frame.

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