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Demonstration of the Hayden-Preskill Protocol via Mutual Information

Title
Demonstration of the Hayden-Preskill Protocol via Mutual Information
Authors
Bae, Jeong-MyeongKang, SubeomYeom, Dong-hanZoe, Heeseung
Issue Date
2019-12
Citation
Journal of the Korean Physical Society, 75(12), 941-947
Type
Article
Article Type
Article
Author Keywords
Black hole information loss problemHayden-Preskill protocolEntanglement entropy
Keywords
BLACK-HOLES
ISSN
0374-4884
Abstract
We construct the Hayden-Preskill protocol by using a system of spin-1/2 particles and demonstrate information flows of this system which can mimic black holes. We first define an analogous black hole A as a collection of such particles. Second, we take the particles from inside to outside the black hole to define an analogous system of Hawking radiation B as outside particles. When the black hole and the radiation have the maximum entanglement at the Page time, we take an entangled pair system C and D. The particles of C fall into the black hole while their counterparts of D remain outside. If we assume rapid mixing of the particle states in the black hole A ⋃ C, can the information of C rapidly escape from the black hole like a mirror? We numerically show that if we turn on the rapid mixing in the black hole, the original information of C rapidly escapes from the black hole to outside in the form of the mutual information between B and D. On the other hand, if the mixing between A and C is not enough, the information escapes slowly. Hence, we explicitly demonstrate the original conjecture of Hayden and Preskill. We emphasize that enough mixing is an essential condition to make the Hayden-Preskill protocol functionally work. © 2019, The Korean Physical Society.
URI
http://hdl.handle.net/20.500.11750/11537
DOI
10.3938/jkps.75.941
Publisher
Korean Physical Society
Files:
There are no files associated with this item.
Collection:
ETC1. Journal Articles


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