Publicación:
Entanglement as geometry and flow

Fecha
2020-05-20
Autores
Singha Roy, Sudipto
Santalla, Silvia N.
Sierra, Germán
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info:eu-repo/semantics/openAccess
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American Physical Society
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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 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 entanglement current operator. We conjecture how this entanglement current may give rise to a metric entirely built from entanglement.
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Categorías UNESCO
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Facultad de Ciencias
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Física Fundamental
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