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The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing

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arxiv 1706.04183 v1 pith:ENHM6APU submitted 2017-06-13 hep-th gr-qc

classification hep-thgr-qc
keywords quantumconditionenergyentanglementnestingnullwedgeconditions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the consequences of Entanglement Wedge Nesting for CFTs with holographic duals. The CFT is formulated on an arbitrary curved background, and we include the effects of curvature-squared couplings in the bulk. In this setup we find necessary and sufficient conditions for Entanglement Wedge Nesting to imply the Quantum Null Energy Condition in $d\leq 5$, extending its earlier holographic proofs. We also show that the Quantum Focusing Conjecture yields the Quantum Null Energy Condition as its nongravitational limit under these same conditions.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Combinatorial aspects of holographic quantum secret sharing

    hep-th 2026-07 conditional novelty 6.0 of 10

    Bulk regions in AdS3/CFT2 get a holographic secret-sharing distance d and thresholds (r,s), with r = n - d + 1; pure states satisfy s = d - 1 while mixed states can satisfy s >= d.

  2. Tests of restricted Quantum Focusing and a new CFT bound

    hep-th 2025-10 conditional novelty 6.0 of 10

    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.

  3. Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff

    hep-th 2025-01 conditional novelty 6.0 of 10

    For holography with a finite ETW-brane cutoff, entanglement wedge nesting requires the two intervals' RT surfaces to be spacelike separated, a condition stronger than spacelike separation of the intervals themselves.

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