Holographic scattering requires a connected entanglement wedge

May, Alex; Penington, Geoff; Sorce, Jonathan

doi:10.1007/jhep08(2020)132

Holographic scattering requires a connected entanglement wedge

Journal Article · Wed Aug 26 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2020)132· OSTI ID:1803744

^[1]; ^[2]; Sorce, Jonathan ^[2]

Univ. of British Columbia, Vancouver, BC (Canada). Dept. of Physics and Astronomy; OSTI
Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics

In AdS/CFT, there can exist local 2-to-2 bulk scattering processes even when local scattering is not possible on the boundary; these have previously been studied in con- nection with boundary correlation functions. We show that boundary regions associated with these scattering configurations must have O(1/G_N) mutual information, and hence a connected entanglement wedge. One of us previously argued for this statement from the boundary theory using operational tools in quantum information theory. We improve that argument to make it robust to small errors and provide a proof in the bulk using focusing arguments in general relativity. We also provide a direct link to entanglement wedge reconstruction by showing that the bulk scattering region must lie inside the con- nected entanglement wedge. Our construction implies the existence of nonlocal quantum computation protocols that are exponentially more efficient than the optimal protocols currently known.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0019380

OSTI ID:: 1803744

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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