Spoofing Entanglement in Holography

TL;DR

This paper explores how certain entanglement spoofing phenomena in holography relate to black hole physics, showing that such spoofing is linked to structures behind horizons and identifying black holes as key sources.

Contribution

It demonstrates that entanglement spoofing in holography is associated with Python's Lunch geometries and identifies black holes as the primary gravitational source in the semiclassical limit.

Findings

EFI pairs with bulk dual have Python's Lunch

Pseudoentangled states also feature Python's Lunch

Black holes are the exclusive source of entanglement spoofing

Abstract

A defining property of Hawking radiation is that states with very low entanglement masquerade as highly mixed states; this property is captured by a quantum computational phenomenon known as spoofing entanglement. Motivated by the potential implications for black hole information and the emergence of spacetime connectivity, as well as possible applications of spoofing entanglement, we investigate the geometrization of two types of entanglement spoofers in AdS/CFT: so-called EFI pairs and pseudoentangled state ensembles. We show that (a strengthened version of) EFI pairs with a semiclassical bulk dual have a Python's Lunch; the maximally mixed state over the pseudoentangled state ensemble likewise features a Python's Lunch. Since a Python's Lunch must lie behind an event horizon, we find that black holes are the exclusive gravitational source of entanglement spoofing in the semiclassical limit. Finally, we use an extant construction of holographic pseudorandom states to yield a candidate example of a pseudoentangled state ensemble with a semiclassical bulk dual.