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hep-th2025
Modular Time Evolution and the QNEC
Stefan Hollands
We establish an inequality restricting the evolution of states in quantum field theory with respect to the modular flow of a wedge, , for large . Our bound is related…
hep-th2025★ 4 cited
A New Proof of the QNEC
Stefan Hollands, Roberto Longo
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…
hep-th2025
Bekenstein Bound for Approximately Local Charged States
Stefan Hollands, Roberto Longo
We generalize the energy-entropy ratio inequality in quantum field theory (QFT) established by one of us from localized states to a larger class of states. The states considered in…