Quantum Metropolis sampling

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • K. Temme
  • Tobias J. Osborne
  • K. G. Vollbrecht
  • D. Poulin
  • Frank Verstraete

Organisationseinheiten

Externe Organisationen

  • Universität Wien
  • Max-Planck-Institut für Quantenoptik (MPQ)
  • Universite de Sherbrooke
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)87-90
Seitenumfang4
FachzeitschriftNature
Jahrgang471
Ausgabenummer7336
PublikationsstatusVeröffentlicht - 2 März 2011

Abstract

The original motivation to build a quantum computer came from Feynman, who imagined a machine capable of simulating generic quantum mechanical systems-a task that is believed to be intractable for classical computers. Such a machine could have far-reaching applications in the simulation of many-body quantum physics in condensed-matter, chemical and high-energy systems. Part of Feynman challenge was met by Lloyd, who showed how to approximately decompose the time evolution operator of interacting quantum particles into a short sequence of elementary gates, suitable for operation on a quantum computer. However, this left open the problem of how to simulate the equilibrium and static properties of quantum systems. This requires the preparation of ground and Gibbs states on a quantum computer. For classical systems, this problem is solved by the ubiquitous Metropolis algorithm, a method that has basically acquired a monopoly on the simulation of interacting particles. Here we demonstrate how to implement a quantum version of the Metropolis algorithm. This algorithm permits sampling directly from the eigenstates of the Hamiltonian, and thus evades the sign problem present in classical simulations. A small-scale implementation of this algorithm should be achievable with today's technology.

ASJC Scopus Sachgebiete

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Quantum Metropolis sampling. / Temme, K.; Osborne, Tobias J.; Vollbrecht, K. G. et al.
in: Nature, Jahrgang 471, Nr. 7336, 02.03.2011, S. 87-90.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Temme, K, Osborne, TJ, Vollbrecht, KG, Poulin, D & Verstraete, F 2011, 'Quantum Metropolis sampling', Nature, Jg. 471, Nr. 7336, S. 87-90. https://doi.org/10.1038/nature09770
Temme, K., Osborne, T. J., Vollbrecht, K. G., Poulin, D., & Verstraete, F. (2011). Quantum Metropolis sampling. Nature, 471(7336), 87-90. https://doi.org/10.1038/nature09770
Temme K, Osborne TJ, Vollbrecht KG, Poulin D, Verstraete F. Quantum Metropolis sampling. Nature. 2011 Mär 2;471(7336):87-90. doi: 10.1038/nature09770
Temme, K. ; Osborne, Tobias J. ; Vollbrecht, K. G. et al. / Quantum Metropolis sampling. in: Nature. 2011 ; Jahrgang 471, Nr. 7336. S. 87-90.
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