Published August 2020 | Version Submitted + Published
Journal Article Open

Python's Lunch: geometric obstructions to decoding Hawking radiation

  • 1. ROR icon Google (United States)
  • 2. ROR icon Stanford University
  • 3. ROR icon California Institute of Technology

Abstract

According to Harlow and Hayden [arXiv:1301.4504] the task of distilling information out of Hawking radiation appears to be computationally hard despite the fact that the quantum state of the black hole and its radiation is relatively un-complex. We trace this computational difficulty to a geometric obstruction in the Einstein-Rosen bridge connecting the black hole and its radiation. Inspired by tensor network models, we conjecture a precise formula relating the computational hardness of distilling information to geometric properties of the wormhole — specifically to the exponential of the difference in generalized entropies between the two non-minimal quantum extremal surfaces that constitute the obstruction. Due to its shape, we call this obstruction the 'Python's Lunch', in analogy to the reptile's postprandial bulge.

Additional Information

© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received 27 February 2020; Accepted 21 July 2020; Published 25 August 2020. We thank Andras Gilyen, Patrick Hayden, John Preskill, Stephen Shenker for fruitful discussions. H.G. is supported by the Simons Foundation through the It from Qubit collaboration. G.P. is supported in part by AFOSR award FA9550-16-1-0082 and DOE award DE-SC0019380. L.S. is supported by NSF Award Number 1316699.

Attached Files

Published - Brown2020_Article_ThePythonSLunchGeometricObstru.pdf

Submitted - 1912.00228.pdf

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Additional details

Identifiers

Eprint ID
105159
Resolver ID
CaltechAUTHORS:20200831-085554082

Funding

Air Force Office of Scientific Research (AFOSR)
FA9550-16-1-0082
Department of Energy (DOE)
DE-SC0019380
NSF
PHY-1316699
SCOAP3

Dates

Created
2020-09-08
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

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