Entanglement preserving local thermalization

Chung-Yun Hsieh^1*, Matteo Lostaglio¹, Antonio Acín^1,2

¹ICFO - Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Spain
²ICREA-Institució Catalana de Recerca i Estudis Avançats, Lluis Companys 23, 08010 Barcelona, Spain

* Presenter:Chung-Yun Hsieh, email:andrew791006@gmail.com

Can entanglement survive the thermalization of subsystems? While the answer is negative in the absence of any shared resource, we prove that two local agents in possession of shared randomness can locally thermalize arbitrary states while maintaining some entanglement, if the initial quantum correlations are strong enough. We discuss general features of local thermalization channels, give a more detailed analysis of the two-qubit case and generalize results to multipartite systems. Our findings show that entanglement can survive locally performed thermalization processes if these can be classically correlated.

Keywords: Entanglement, Thermalization