Multipartite entanglement detection via correlation minor norm

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

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number292
JournalQuantum Information Processing
Volume22
Issue number7
DOIs
StatePublished - 1 Jul 2023

Keywords

  • Entanglement detection
  • Multipartite entanglement
  • Quantum correlations
  • Quantum discord

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modeling and Simulation
  • Electrical and Electronic Engineering

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