Entanglement Islands from Hilbert Space Reduction
| Autor: | Basu, Debarshi, Wen, Qiang, Shangjie Zhou |
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| Zdroj: | INSPIRE-HEP |
| Popis: | In this paper we try to understand the \textit{Island formula} from a purely quantum information perspective. We propose that the island phase is a property of the quantum state and the Hilbert space where the state is embedded in. More explicitly we show that, in a quantum system when the state of a subset is totally encoded in the state of another subset, the Hilbert space of the system will reduce, and the way we compute the reduced density matrix and related entropy quantities will also change essentially. Such reductions of the Hilbert space result in a new island formula in quantum systems, which we conjecture to be the same island formula in gravity recently proposed to rescue the unitarity in the process of black hole evaporation. In this context, we give a simple resolution to the Mathur/AMPS paradox. Furthermore, we propose a non-gravitational field theory configuration where entanglement islands emerge, give a description for the entanglement structure of the island phase and propose how to realize the island phase in the lab. 28pages. Comments are very welcome; V2 references updated, minor revision; V3, footnote 5 added |
| Databáze: | OpenAIRE |
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