Entanglement preserving local thermalization

We investigate whether entanglement can survive the thermalization of subsystems. We present two equivalent formulations of this problem: (1) Can two isolated agents, accessing only preshared randomness, locally thermalize arbitrary input states while maintaining some entanglement? (2) Can thermaliz...

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Main Authors: Chung-Yun Hsieh, Matteo Lostaglio, Antonio Acín
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013379
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author Chung-Yun Hsieh
Matteo Lostaglio
Antonio Acín
author_facet Chung-Yun Hsieh
Matteo Lostaglio
Antonio Acín
author_sort Chung-Yun Hsieh
collection DOAJ
description We investigate whether entanglement can survive the thermalization of subsystems. We present two equivalent formulations of this problem: (1) Can two isolated agents, accessing only preshared randomness, locally thermalize arbitrary input states while maintaining some entanglement? (2) Can thermalization with local heat baths, which may be classically correlated but do not exchange information, locally thermalize arbitrary input states while maintaining some entanglement? We answer these questions in the positive at every nonzero temperature and provide bounds on the amount of preserved entanglement. We provide explicit protocols and discuss their thermodynamic interpretation: we suggest that the underlying mechanism is a speed-up of the subsystem thermalization process. We also present extensions to multipartite systems. Our findings show that entanglement can survive locally performed thermalization processes accessing only classical correlations as a resource. They also suggest a broader study of the channel's ability to preserve resources and of the compatibility between global and local dynamics.
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spelling doaj.art-49ec5d19dd4d4643a838fab6823c5ec02024-04-12T16:52:07ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101337910.1103/PhysRevResearch.2.013379Entanglement preserving local thermalizationChung-Yun HsiehMatteo LostaglioAntonio AcínWe investigate whether entanglement can survive the thermalization of subsystems. We present two equivalent formulations of this problem: (1) Can two isolated agents, accessing only preshared randomness, locally thermalize arbitrary input states while maintaining some entanglement? (2) Can thermalization with local heat baths, which may be classically correlated but do not exchange information, locally thermalize arbitrary input states while maintaining some entanglement? We answer these questions in the positive at every nonzero temperature and provide bounds on the amount of preserved entanglement. We provide explicit protocols and discuss their thermodynamic interpretation: we suggest that the underlying mechanism is a speed-up of the subsystem thermalization process. We also present extensions to multipartite systems. Our findings show that entanglement can survive locally performed thermalization processes accessing only classical correlations as a resource. They also suggest a broader study of the channel's ability to preserve resources and of the compatibility between global and local dynamics.http://doi.org/10.1103/PhysRevResearch.2.013379
spellingShingle Chung-Yun Hsieh
Matteo Lostaglio
Antonio Acín
Entanglement preserving local thermalization
Physical Review Research
title Entanglement preserving local thermalization
title_full Entanglement preserving local thermalization
title_fullStr Entanglement preserving local thermalization
title_full_unstemmed Entanglement preserving local thermalization
title_short Entanglement preserving local thermalization
title_sort entanglement preserving local thermalization
url http://doi.org/10.1103/PhysRevResearch.2.013379
work_keys_str_mv AT chungyunhsieh entanglementpreservinglocalthermalization
AT matteolostaglio entanglementpreservinglocalthermalization
AT antonioacin entanglementpreservinglocalthermalization