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