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• W2949102775 abstract "We explore the connection between the area law for entanglement and geometry by representing the entanglement entropies corresponding to all $2^N$ bipartitions of an $N$-party pure quantum system by means of a (generalized) adjacency matrix. In the cases where the representation is exact, the elements of that matrix coincide with the mutual information between pairs of sites. In others, it provides a very good approximation, and in all the cases it yields a natural {em entanglement contour} which is similar to previous proposals.Moreover, for one-dimensional conformal invariant systems, the generalized adjacency matrix is given by the two-point correlator of an {em entanglement current} operator. We conjecture how this entanglement current may give rise to a metric entirely built from entanglement." @default.
• W2949102775 created "2019-06-27" @default.
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• W2949102775 date "2020-05-20" @default.
• W2949102775 modified "2023-10-12" @default.
• W2949102775 title "Entanglement as geometry and flow" @default.
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• W2949102775 doi "https://doi.org/10.1103/physrevb.101.195134" @default.
• W2949102775 hasPublicationYear "2020" @default.
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