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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Acknowledgments
We thank Chris Akers, Mohsen Alishahiha, Giuseppe Di Giulio, Johanna Erdmenger, Haye Hinrichsen, Nima Lashkari, René Meyer, Christian Northe and Anna-Lena Weigel for stimulating discussions. We also thank Mohsen Alishahiha, Johanna Erdmenger and Haye Hinrichsen, in particular, for helpful comments on the draft. We acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy through the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter — ct.qmat (EXC 2147, project-id 390858490). We further acknowledge the support by the Deutscher Akademischer Austauschdienst (DAAD, German Academic Exchange Service) through the funding programme, “Research Grants — Doctoral Programmes in Germany, 2021/22 (57552340)”. This research was also supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Research, Innovation and Science.
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Banerjee, S., Basteiro, P., Das, R.N. et al. Geometric quantum discord signals non-factorization. J. High Energ. Phys. 2023, 104 (2023). https://doi.org/10.1007/JHEP08(2023)104
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DOI: https://doi.org/10.1007/JHEP08(2023)104