A New Proof of the QNEC

Fuente: arXiv
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Autores principales: Hollands, Stefan, Longo, Roberto
Formato: Preprint
Publicado: 2025
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author Hollands, Stefan
Longo, Roberto
author_facet Hollands, Stefan
Longo, Roberto
contents We give a simplified proof of the quantum null energy condition (QNEC). Our proof is based on an explicit formula for the shape derivative of the relative entropy, with respect to an entangling cut. It allows bypassing the analytic continuation arguments of a previous proof by Ceyhan and Faulkner and can be used e.g., for defining entropy current fluctuations.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04651
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A New Proof of the QNEC
Hollands, Stefan
Longo, Roberto
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Operator Algebras
Quantum Physics
We give a simplified proof of the quantum null energy condition (QNEC). Our proof is based on an explicit formula for the shape derivative of the relative entropy, with respect to an entangling cut. It allows bypassing the analytic continuation arguments of a previous proof by Ceyhan and Faulkner and can be used e.g., for defining entropy current fluctuations.
title A New Proof of the QNEC
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
Operator Algebras
Quantum Physics
url https://arxiv.org/abs/2503.04651