Pith. sign in

REVIEW 4 cited by

Entanglement Wedge Cross Sections Require Tripartite Entanglement

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1911.07852 v3 pith:RZPD7XTN submitted 2019-11-18 hep-th quant-ph

Chris Akers , Pratik Rath This is my paper · ORCID
classification hep-thquant-ph
keywords entanglementtripartiteconjecturecrossentropyfracholographicmathcal
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We argue that holographic CFT states require a large amount of tripartite entanglement, in contrast to the conjecture that their entanglement is mostly bipartite. Our evidence is that this mostly-bipartite conjecture is in sharp conflict with two well-supported conjectures about the entanglement wedge cross section surface $E_W$. If $E_W$ is related to either the CFT's reflected entropy or its entanglement of purification, then those quantities can differ from the mutual information at $\mathcal{O}(\frac{1}{G_N})$. We prove that this implies holographic CFT states must have $\mathcal{O}(\frac{1}{G_N})$ amounts of tripartite entanglement. This proof involves a new Fannes-type inequality for the reflected entropy, which itself has many interesting applications.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. Surviving correlations across a horizon: reflected entropy for bosonic fields in non-inertial frames and black hole spacetimes

    hep-th 2026-08 conditional novelty 6.0 of 10

    Bosonic Alice-Bob reflected entropy saturates at nonzero floors (1.757 bits for Bell, 0.315 for GHZ) at infinite acceleration, while the inter-wedge reflected entropy diverges linearly in the squeezing parameter.

  2. Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$

    hep-th 2025-12 conditional novelty 6.0 of 10

    In pure BTZ black-hole states the genuine tripartite multi-entropy grows linearly with subsystem size at high temperature (volume law), peaks at (1/6) of the Bekenstein-Hawking entropy plus a universal constant, and c...

  3. Probing the Hierarchy of Genuine Multipartite Entanglement with Generalized Latent Entropy

    hep-th 2025-10 conditional novelty 6.0 of 10

    A generalized latent-entropy measure orders k-uniform states, maxes out on AME states, shows odd-party random states saturate it, and distinguishes SYK variants.

  4. Genuine multi-entropy and holography

    hep-th 2025-02 conditional novelty 6.0 of 10

    A new 'genuine multi-entropy' separates true q-party entanglement from lower-party pieces, and holographic systems are shown to carry O(1/G_N) genuine multipartite entanglement for connected regions.

Pith tools