Superactivation and Incompressibility of Genuine Multipartite Entanglement

Fuente: arXiv
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Autori principali: Weinbrenner, Lisa T., Baksová, Klára, Denker, Sophia, Morelli, Simon, Yu, Xiao-Dong, Friis, Nicolai, Gühne, Otfried
Natura: Preprint
Pubblicazione: 2024
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author Weinbrenner, Lisa T.
Baksová, Klára
Denker, Sophia
Morelli, Simon
Yu, Xiao-Dong
Friis, Nicolai
Gühne, Otfried
author_facet Weinbrenner, Lisa T.
Baksová, Klára
Denker, Sophia
Morelli, Simon
Yu, Xiao-Dong
Friis, Nicolai
Gühne, Otfried
contents Quantum correlations in the form of entanglement, quantum steering or Bell nonlocality are resources for various information-processing tasks, but their detailed quantification and characterization remain complicated. One counter-intuitive effect is the phenomenon of superactivation, meaning that two copies of a quantum state may exhibit forms of correlations which are absent on the single-copy level. We develop a systematic approach towards a full understanding of this phenomenon using the paradigm of genuine multipartite entanglement. We introduce systematic methods for studying superactivation of entanglement based on symmetries and generalized notions of multipartite distillability. With this, we present novel criteria for superactivation as well as a quantitative theory of it. Finally, we prove the existence of incompressible entanglement, meaning that there are quantum states for which superactivated multipartite entanglement cannot be reduced to the single-copy level.
format Preprint
id arxiv_https___arxiv_org_abs_2412_18331
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Superactivation and Incompressibility of Genuine Multipartite Entanglement
Weinbrenner, Lisa T.
Baksová, Klára
Denker, Sophia
Morelli, Simon
Yu, Xiao-Dong
Friis, Nicolai
Gühne, Otfried
Quantum Physics
Quantum correlations in the form of entanglement, quantum steering or Bell nonlocality are resources for various information-processing tasks, but their detailed quantification and characterization remain complicated. One counter-intuitive effect is the phenomenon of superactivation, meaning that two copies of a quantum state may exhibit forms of correlations which are absent on the single-copy level. We develop a systematic approach towards a full understanding of this phenomenon using the paradigm of genuine multipartite entanglement. We introduce systematic methods for studying superactivation of entanglement based on symmetries and generalized notions of multipartite distillability. With this, we present novel criteria for superactivation as well as a quantitative theory of it. Finally, we prove the existence of incompressible entanglement, meaning that there are quantum states for which superactivated multipartite entanglement cannot be reduced to the single-copy level.
title Superactivation and Incompressibility of Genuine Multipartite Entanglement
topic Quantum Physics
url https://arxiv.org/abs/2412.18331