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Entanglement Theory Quantum Correlations Quantum Simulation

Composite AdS geodesics for CFT correlators and timelike entanglement entropy

arXiv
Authors: Hardik Bohra, Allic Sivaramakrishnan

Year

2025

Paper ID

16577

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

We study how to recover timelike worldlines in AdS from CFT data as a toy model for holographically reconstructing realistic observers. We give a bulk extremization procedure that determines composite timelike-spacelike geodesics that connect timelike-separated boundary points. The total geodesic length matches the length extracted from CFT correlators at the timelike-separated points. We show agreement in Poincaré AdS, for generic boundary points in global AdS, and also for the BTZ solution, in which the timelike segment probes behind the horizon. We refine related methods to compute timelike entanglement entropy in AdS3/CFT2 and recover known results.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We study how to recover timelike worldlines in AdS from CFT data as a toy model for holographically reconstructing realistic observers.

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