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Entanglement Rates and Area Laws

Autor(en)
Karel Van Acoleyen, Michael Marien, Frank Verstraete
Abstrakt

We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsystem dimension on which the Hamiltonian acts nontrivially is optimal and is exponentially improved over previously known bounds. As an application, we show that a gapped quantum many-body spin system on an arbitrary lattice satisfies an area law for the entanglement entropy if and only if any other state with which it is adiabatically connected (i.e., any state in the same phase) also satisfies an area law.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Ghent University
Journal
Physical Review Letters
Band
111
Anzahl der Seiten
5
ISSN
0031-9007
DOI
https://doi.org/10.1103/PhysRevLett.111.170501
Publikationsdatum
10-2013
Peer-reviewed
Ja
ÖFOS 2012
103036 Theoretische Physik, 103025 Quantenmechanik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/bf3a489f-32d3-49d6-ae7d-f660cdd2c0fc