Unitary (semi)causal quantum-circuit representation of black hole evaporation

TL;DR

This paper introduces a quantum circuit framework for modeling black hole evaporation that respects causality, analyzing entanglement entropy evolution through toy models, and providing new insights into black hole information dynamics.

Contribution

It presents a novel quantum circuit representation of black hole evaporation that incorporates causality constraints and explores entanglement entropy evolution.

Findings

Derived a general structure for unitary black hole evolution respecting causality.

Analyzed entanglement entropy and entropy curves during evaporation.

Illustrated the framework with tensor product and controlled non-product qubit models.

Abstract

A general structure of unitary evolution (evaporation) of the black hole, respecting causality imposed by the event horizon (semicausality), has been derived and presented in the language of quantum circuits. The resulting consequences for the evolution of the corresponding entanglement entropy and the entropy curve have been determined. As an illustration of the general scheme, two families of qubit toy models have been discussed: tensor product models and controlled non-product models.