Demonstration of the Hayden-Preskill Protocol via Mutual Information

Autor: Subeom Kang, Heeseung Zoe, Jeong-Myeong Bae, Dong-han Yeom
Rok vydání: 2019
Předmět:
Zdroj: Journal of the Korean Physical Society. 75:941-947
ISSN: 1976-8524
0374-4884
DOI: 10.3938/jkps.75.941
Popis: 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 $A \cup C$, 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.
12 pages, 4 figures
Databáze: OpenAIRE
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