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Quantum scrambling via accessible tripartite information

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arxiv 2305.19334 v1 pith:SC2GXNQQ submitted 2023-05-30 quant-ph

classification quant-ph
keywords informationtripartiteinformationsquantumaccessiblescramblingdynamicsissues
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Quantum information scrambling (QIS), from the perspective of quantum information theory, is generally understood as local non-retrievability of information evolved through some dynamical process, and is often quantified via entropic quantities such as the tripartite information. We argue that this approach comes with a number of issues, in large part due to its reliance on quantum mutual informations, which do not faithfully quantify correlations directly retrievable via measurements, and in part due to the specific methodology used to compute tripartite informations of the studied dynamics. We show that these issues can be overcome by using accessible mutual informations, defining corresponding ``accessible tripartite informations'', and provide explicit examples of dynamics whose scrambling properties are not properly quantified by the standard tripartite information. Our results lay the groundwork for a more profound understanding of what QIS represents, and reveal a number of promising, as of yet unexplored, venues for futher research.

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  1. More on the upper bound of holographic n-partite information

    hep-th 2024-11 conditional novelty 7.0 of 10

    The upper bound of holographic conditional mutual information equals twice the entanglement of state-constrained purification and diverges in the many-interval limit, revealing abundant multipartite entanglement.

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