Semi-device-independent characterisation of multipartite entangled states and measurements

Tavakoli, Armin; Abbott, Alastair; Renou, Marc-Olivier; Gisin, Nicolas; Brunner, Nicolas

doi:10.1103/PhysRevA.98.052333

Scientific article

English

Semi-device-independent characterisation of multipartite entangled states and measurements

Contributors

Tavakoli, Armin; Abbott, Alastair; Renou, Marc-Olivier; Gisin, Nicolas; Brunner, Nicolas

Published in

Physical Review A, vol. 98, no. 052333

Publication date

2018

Abstract

The semi-device-independent framework allows one to draw conclusions about properties of an unknown quantum system under weak assumptions. Here we present a semi-device-independent scheme for the characterisation of multipartite entanglement based around a game played by several isolated parties whose devices are uncharacterised beyond an assumption about the dimension of their Hilbert spaces. Our scheme can certify that an $n$-partite high-dimensional quantum state features genuine multipartite entanglement. Moreover, the scheme can certify that a joint measurement on $n$ subsystems is entangled, and provides a lower bound on the number of entangled measurement operators. These tests are strongly robust to noise, and even optimal for certain classes of states and measurements, as we demonstrate with illustrative examples. Notably, our scheme allows for the certification of many entangled states admitting a local model, which therefore cannot violate any Bell inequality.

UNIGE affiliation entities

Faculté des sciences / Section de physique / Groupe de physique appliquée

UNIGE research groups

Groupe Brunner

Citation (ISO format)

TAVAKOLI, Armin et al. Semi-device-independent characterisation of multipartite entangled states and measurements. In: Physical Review A, 2018, vol. 98, n° 052333. doi: 10.1103/PhysRevA.98.052333

Article (Accepted version)

Identifiers

PID : unige:124648
DOI : 10.1103/PhysRevA.98.052333
arXiv : 1805.00377

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21/10/2019 10:55:00

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21/10/2019 10:55:00

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28/11/2024 07:19:15

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28/11/2024 07:19:15

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28/11/2024 07:19:15

Semi-device-independent characterisation of multipartite entangled states and measurements

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

UNIGE research groups

Citation (ISO format)

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Technical informations

Creation

First validation

Update

Status update

Last indexation