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Quantum Simulation

Mutual information and correlation measures in holographic RG flows

arXiv
Authors: Iftekher S. Chowdhury, Binay Prakash Akhouri, Shah Haque, Eric Howard

Year

2024

Paper ID

38432

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions. Mutual information provides a UV-finite measure of total correlations between subsystems, while entanglement negativity and multipartite correlations offer finer insights into quantum structures, especially near critical points. Through numerical simulations, we show that while mutual information remains relatively smooth, both entanglement negativity and multipartite correlations exhibit sharp changes near phase transitions. These results support the hypothesis that multipartite correlations play a dominant role in signaling critical phenomena in strongly coupled quantum systems.

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  • This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.04645 [2] arXiv https://arxiv.org/abs/2410.04645 [3] Publisher https://arxiv.org/abs/2410.04645

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