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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Detalles Bibliográficos
Autores: Hsieh, Chung Yun|||0000-0002-2512-0274, Lostaglio, Matteo, Acín dal Maschio, Antonio
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/369311
Acceso en línea:https://hdl.handle.net/2117/369311
https://dx.doi.org/10.1103/PhysRevResearch.2.013379
Access Level:acceso abierto
Palabra clave:Thermodynamics
Entanglement
Termodinàmica
Àrees temàtiques de la UPC::Física
Descripción
Sumario: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.