Entanglement and nonlocality of four-qubit connected hypergraph states-Reference-Cited by-同舟云学术

Entanglement and nonlocality of four-qubit connected hypergraph states

Published:2022-03-03 Issue:03 Volume:20 Page:
ISSN:0219-7499
Container-title:International Journal of Quantum Information
language:en
Short-container-title:Int. J. Quantum Inform.

Author:

Amouzou Grâce¹²,Boffelli Jeoffrey³,Jaffali Hamza⁴,Atchonouglo Kossi²,Holweck Frédéric¹⁵

Affiliation:

1. Laboratoire Interdisciplinaire Carnot de Bourgogne, ICB/UTBM, UMR 6303 CNRS, Université Bourgogne Franche-Comté, 90010 Belfort Cedex, France

2. Laboratoire de Modélisations Mathématiques et Applications, Université de Lomé, Lomé, Togo

3. Laboratoire Ondes et Milieux Complexes, CNRS — Université Le Havre Normandie, Le Havre, France

4. ColibriTD, La Défense, Paris, France

5. Department of Mathematics and Statistics, Auburn University, Auburn, AL, USA

Abstract

We study entanglement and nonlocality of connected four-qubit hypergraph states. One obtains the Stochastic Local Operations and Classical Communication (SLOCC) classification from the known local unitary (LU)-orbits. We then consider Mermin’s polynomials and show that the nonlocal behavior of hypergraph states can be detected by a suitable choice of Mermin’s inequality. Finally, we implement some of the corresponding inequalities on the IBM Quantum Experience and report the detection of the nonlocality of a three-qubit hypergraph states.

Funder

PHYFA

ISITE-BFC

EUR-EIPHI Graduate School

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219749922500010

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