Information Erasure and the Generalized Second Law of Black Hole Thermodynamics

Details Information Erasure and the Generalized Second Law of Black Hole Thermodynamics Information Erasure and the Generalized Second Law of Black Hole Thermodynamics

2000-09-25

arxiv.org/abs/gr-qc/0009083v1

Int.J.Theor.Phys.47:1692-1698,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 9 pages

Scientific paper

10.1007/s10773-007-9610-0

We consider the generalized second law of black hole thermodynamics in the light of quantum information theory, in particular information erasure and Landauer's principle (namely, that erasure of information produces at least the equivalent amount of entropy). A small quantum system outside a black hole in the Hartle-Hawking state is studied, and the quantum system comes into thermal equilibrium with the radiation surrounding the black hole. For this scenario, we present a simple proof of the generalized second law based on quantum relative entropy. We then analyze the corresponding information erasure process, and confirm our proof of the generalized second law by applying Landauer's principle.

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