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

Shih Xian Yang, Gelo Noel Tabia, Pei Sheng Lin, Yeong Cherng Liang

Research output: Contribution to journalArticlepeer-review

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 in investigating the feasibility of using these correlations to certify multipartite entanglement in a device-independent setting. In contrast with 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.

Original languageEnglish
Article number022419
JournalPhysical Review A
Volume102
Issue number2
DOIs
Publication statusPublished - 2020 Aug

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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