Multipartite entanglement detection via correlation minor norm

Rain Lenny; Amit Te’eni; Bar Y. Peled; Avishy Carmi; Eliahu Cohen

doi:10.1007/s11128-023-04046-6

Multipartite entanglement detection via correlation minor norm

Rain Lenny
, Amit Te’eni
, Bar Y. Peled
, Avishy Carmi
, Eliahu Cohen

Bar-Ilan University - The Alexander Kofkin Faculty of Engineering

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Entanglement is a uniquely quantum resource giving rise to many quantum technologies. It is therefore important to detect and characterize entangled states, but this is known to be a challenging task, especially for multipartite mixed states. The correlation minor norm (CMN) was recently suggested as a bi-partite entanglement detector employing bounds on the quantum correlation matrix. In this paper, we explore generalizations of the CMN to multipartite systems based on matricizations of the correlation tensor. It is shown that the CMN is able to detect and differentiate classes of multipartite entangled states. We further analyze the correlations within the reduced density matrices and show their significance for entanglement detection. Finally, we employ matricizations of the correlation tensor for introducing a measure of global quantum discord.

Original language	English
Article number	292
Journal	Quantum Information Processing
Volume	22
Issue number	7
DOIs	https://doi.org/10.1007/s11128-023-04046-6
State	Published - Jul 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Funding

E.C. was supported by the Israeli Innovation Authority under Projects 70002, 73795 and the Eureka Program, by Elta Systems Ltd., by the Pazy Foundation, by the Israeli Ministry of Science and Technology, and by the Quantum Science and Technology Program of the Israeli Council of Higher Education. This research was supported by the Fetzer-Franklin Fund of the John E. Fetzer Memorial Trust and by Grant No. FQXi-RFP-CPW-2006 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor-advised fund of Silicon Valley Community Foundation. We thank Etai Flint for the illustrations in Figs. , and . We also acknowledge the useful tutorial in https://youtube.com/watch?v=qysCuvPdX6E which helped us generating Fig. .

Funders	Funder number
Elta Systems Ltd.
Fetzer Franklin Fund
Fetzer-Franklin Fund of the John E. Fetzer Memorial Trust	FQXi-RFP-CPW-2006
Quantum Science and Technology Program of the Israeli Council of Higher Education
Silicon Valley Community Foundation
Foundational Questions Institute
Ministry of science and technology, Israel
PAZY Foundation
Israel Innovation Authority	70002, 73795

Keywords

Entanglement detection
Multipartite entanglement
Quantum correlations
Quantum discord

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10.1007/s11128-023-04046-6

Cite this

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Multipartite entanglement detection via correlation minor norm

Abstract

Bibliographical note

Funding

Keywords

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