A New Proof of the QNEC

2025/03/06 by Hollands, Stefan, Longo, Roberto · 6 citations
#FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2503.04651

Abstract

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.

Cited by

• Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory
• From Quantum Relative Entropy to the Semiclassical Einstein Equations
• Tests of restricted Quantum Focusing and a new CFT bound
• Lecture Notes on Operator Algebras and Quantum Field Theory
• The modular Hamiltonian in asymptotically flat spacetime conformal to Minkowski
• A Quantum Dominant Energy Condition

Related

• Recovering the QNEC from the ANEC
• The Quantum Null Energy Condition and Entanglement Entropy in Quenches
• Quantum null energy condition in quenched 2d CFTs
• Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory
• The double smeared null energy condition