2013/04/30 by Karel Van Acoleyen, Michaël Mariën, Frank Verstraete · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.111.170501
published as Phys. Rev. Lett. 111, 170501 (2013) · v3: improved presentation of the SIE-proof, matching the published version
arxiv created 2013/11/05 · arxiv updated 2013/11/06
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.