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Medientyp:
E-Artikel
Titel:
SVD entanglement entropy
Beteiligte:
Parzygnat, Arthur J.;
Takayanagi, Tadashi;
Taki, Yusuke;
Wei, Zixia
Erschienen:
Springer Science and Business Media LLC, 2023
Erschienen in:
Journal of High Energy Physics, 2023 (2023) 12
Sprache:
Englisch
DOI:
10.1007/jhep12(2023)123
ISSN:
1029-8479
Entstehung:
Anmerkungen:
Beschreibung:
<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>In this paper, we introduce a new quantity called SVD entanglement entropy. This is a generalization of entanglement entropy in that it depends on two different states, as in pre- and post-selection processes. This SVD entanglement entropy takes non-negative real values and is bounded by the logarithm of the Hilbert space dimensions. The SVD entanglement entropy can be interpreted as the average number of Bell pairs distillable from intermediates states. We observe that the SVD entanglement entropy gets enhanced when the two states are in the different quantum phases in an explicit example of the transverse-field Ising model. Moreover, we calculate the Rényi SVD entropy in various field theories and examine holographic calculations using the AdS/CFT correspondence.</jats:p>