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A Quantum Bousso Bound

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arxiv hep-th/0303067 v1 pith:QSIU4KFQ submitted 2003-03-10 hep-th

A Quantum Bousso Bound

classification hep-th
keywords boundquantumboussosurfaceacrossareaentropyadding
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Bousso bound requires that one quarter the area of a closed codimension two spacelike surface exceeds the entropy flux across a certain lightsheet terminating on the surface. The bound can be violated by quantum effects such as Hawking radiation. It is proposed that at the quantum level the bound be modified by adding to the area the quantum entanglement entropy across the surface. The validity of this quantum Bousso bound is proven in a two-dimensional large N dilaton gravity theory.

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Cited by 2 Pith papers

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    From rQFC, a new CFT bound follows that forbids the QNEC from saturating faster than O(Σ^{d−2}) in near-vacuum states, while rQFC is proven in JT gravity and explicit QFC counterexamples are constructed.