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Entanglement Theory Quantum Correlations

Multi-copy activation of genuine multipartite entanglement in continuous-variable systems

arXiv
Authors: Klára Baksová, Olga Leskovjanová, Ladislav Mišta, Elizabeth Agudelo, Nicolai Friis

Year

2023

Paper ID

53027

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

Multi-copy activation of genuine multipartite entanglement (GME) is a phenomenon whereby multiple copies of biseparable but fully inseparable states can exhibit GME. This was shown to be generically possible in finite dimensions. Here, we extend this analysis to infinite dimensions. We provide examples of GME-activatable non-Gaussian states. For Gaussian states, we apply a necessary biseparability criterion for the covariance matrix and show that it cannot detect GME activation. We further identify fully inseparable Gaussian states that satisfy the criterion but show that multiple and, in some cases, even single copies are GME. Thus, we show that the covariance-matrix biseparability criterion is not sufficient even for Gaussian states.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • Multi-copy activation of genuine multipartite entanglement (GME) is a phenomenon whereby multiple copies of biseparable but fully inseparable states can exhibit GME.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2312.16570 [2] arXiv https://arxiv.org/abs/2312.16570 [3] Publisher https://arxiv.org/abs/2312.16570

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