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Open Quantum Systems Decoherence

Reflected multi-entropy and its holographic dual

arXiv
Authors: Ma-Ke Yuan, Mingyi Li, Yang Zhou

Year

2024

Paper ID

38231

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

Abstract

We introduce a mixed-state generalization of the multi-entropy through the canonical purification, which we call reflected multi-entropy. We propose the holographic dual of this measure. For the tripartite case, a field-theoretical calculation is performed using a six-point function of twist operators at large c limit. At both zero and finite temperature, the field-theoretical results match the holographic results, supporting our holographic conjecture of this new measure.

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  • We introduce a mixed-state generalization of the multi-entropy through the canonical purification, which we call reflected multi-entropy.

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