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@ARTICLE{Jansen:165654,
      author       = {Jansen, Karl and Leovey, H. and Ammon, A. and Griewank, A.
                      and Müller-Preussker, M.},
      title        = {{Q}uasi-{M}onte {C}arlo methods for lattice systems: {A}
                      first look},
      journal      = {Computer physics communications},
      volume       = {185},
      number       = {3},
      issn         = {0010-4655},
      address      = {Amsterdam},
      publisher    = {North Holland Publ. Co.},
      reportid     = {DESY-2014-00620, DESY-13-022. HU-EP-13-05. SFB-CPP-13-13.
                      arXiv:1302.6419},
      pages        = {948–959},
      year         = {2014},
      abstract     = {We investigate the applicability of quasi-Monte Carlo
                      methods to Euclidean lattice systems for quantum mechanics
                      in order to improve the asymptotic error behavior of
                      observables for such theories. In most cases the error of an
                      observable calculated by averaging over random observations
                      generated from an ordinary Markov chain Monte Carlo
                      simulation behaves like N−1/2N−1/2, where NN is the
                      number of observations. By means of quasi-Monte Carlo
                      methods it is possible to improve this behavior for certain
                      problems to N−1N−1, or even further if the problems are
                      regular enough. We adapted and applied this approach to
                      simple systems like the quantum harmonic and anharmonic
                      oscillator and verified an improved error scaling.},
      cin          = {ZEU-NIC},
      ddc          = {004},
      cid          = {I:(DE-H253)ZEU-NIC-20120731},
      pnm          = {51x - Programm Elementarteilchenphysik - Topic unbekannt
                      (POF2-51x)},
      pid          = {G:(DE-HGF)POF2-51x},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16 / PUB:(DE-HGF)15},
      eprint       = {1302.6419},
      howpublished = {arXiv:1302.6419},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1302.6419;\%\%$},
      doi          = {10.1016/j.cpc.2013.10.011},
      url          = {https://bib-pubdb1.desy.de/record/165654},
}