Information Erasure and the Generalized Second Law of Black Hole Thermodynamics

Abstract

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.

Latex, 9 pages

References in corpus (1)

• The Holevo bound and Landauer's principle

Cited by in corpus (10)

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• Gravity from Quantum Information
• Black hole as an Information Eraser
• Cosmological Imprint of the Second Law of Thermodynamics
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• Black hole thermodynamics from decoherence
• Comments on Information Erasure in Black Hole