Geometric Quantum Discord Signals Non-Factorization

• URL: http://arxiv.org/abs/2305.04952v3
• Date: Mon, 21 Aug 2023 07:21:59 GMT
• Title: Geometric Quantum Discord Signals Non-Factorization
• Authors: Souvik Banerjee, Pablo Basteiro, Rathindra Nath Das, Moritz Dorband
• Abstract summary: We show how non-vanishing discord implies that the corresponding partition function does not factorize. We connect the non-vanishing of GQD with the existence of wormhole microstates.
• Score: 0.6749750044497732
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-vanishing of GQD with the existence of wormhole microstates.

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