Toy Gravizap for Black Hole Redemption
Dmitry Melnikov

TL;DR
This paper presents a topological model of quantum teleportation as an analogy for information transfer in black hole evaporation, linking entanglement dynamics to the concept of islands and entropy evolution.
Contribution
It introduces a toy topological realization of quantum teleportation to model information transfer in black hole physics, connecting entanglement, entropy, and the island paradigm.
Findings
Topological realization of quantum teleportation for black hole models
Analog of the Page curve for Hawking radiation entropy
Identification of interior regions encoding exterior information
Abstract
In this note we discuss a topological realization of the quantum teleportation protocol. Such a realization facilitates keeping track of the evolution of quantum correlations in the system. It is then suggested, that an implementation of a similar protocol can serve as a toy model of a process of information transfer between causally disconnected regions, such as the one that should take place in a unitary evolution of a quantum black hole. Hawking quanta provide the necessary entangled pairs for the teleportation channel, and the same interaction mechanism that creates the Hawking pairs, destroys the entanglement at the late stages of the evolution. Different steps of the teleportation protocol are characterized by the entropies associated with the disconnected regions, and one can introduce an analog of the Page curve for the entropy of the Hawking radiation. Some regions of the…
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Taxonomy
TopicsAdvanced Vision and Imaging · Computer Graphics and Visualization Techniques · Robotics and Sensor-Based Localization
