Entanglement rates and area laws.

@article{Acoleyen2013EntanglementRA,
  title={Entanglement rates and area laws.},
  author={Karel Van Acoleyen and Micha{\"e}l Mari{\"e}n and Frank Verstraete},
  journal={Physical review letters},
  year={2013},
  volume={111 17},
  pages={
          170501
        }
}
  • Karel Van Acoleyen, Michaël Mariën, Frank Verstraete
  • Published 2013
  • Medicine, Physics, Mathematics
  • Physical review letters
  • 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… CONTINUE READING

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    SHOWING 1-10 OF 16 REFERENCES

    D

    Quantum Inf

    • E. H. Lieb, A. Vershynina
    • Comput. 13, 0986
    • 2013
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • S. Bravyi
    • Rev. A 76, 052319
    • 2007
    VIEW 7 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • X. Chen, Z.-C. Gu, X.-G. Wen
    • Rev. B 82, 155138
    • 2010
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • T. J. Osborne
    • Rev. A 75, 032321
    • 2007
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Anal

    • F. Kittaneh, J. Funct
    • 250
    • 2007
    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    A 42

    • J. I. Cirac, F. Verstraete, J. Phys
    • 504004
    • 2009
    VIEW 1 EXCERPT

    Commun

    • E. H. Lieb, D. W. Robinson
    • Math. Phys. 28, 251
    • 1972
    VIEW 1 EXCERPT

    Commun

    • S. Bachmann, S. Michalakis, B. Nachtergaele, R. Sims
    • Math. Phys. 309, 835
    • 2012
    VIEW 1 EXCERPT

    Inf

    • C. H. Bennett, A. W. Harrow, D. W. Leung, J. A. Smolin, IEEE Trans
    • Theory 49, 1895
    • 2003
    VIEW 1 EXCERPT