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We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics systems.
G. Grimmett and D. Stirzaker, Probability and random processes
1982
Earlier work this paper cites.
D. Aldous, Séminaire de probabilités XVII
1983
Earlier work this paper cites.
P. Diaconis and D. Strook, Ann. Appl. Prob. 1
1991
Earlier work this paper cites.
P. W. Shor, in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science
1994
Earlier work this paper cites.
L. K. Grover, Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
D. Aldous, L. Lovasz and P. Winkler, Stoch. proc. Appl. 71
1997
Earlier work this paper cites.
J.-P. Bouchaud et al., in Spin Glasses and Random Fields
1997
Earlier work this paper cites.
J. G. Propp and D. B. Wilson, Random Struct. Algorithms 9
1998
Earlier work this paper cites.
J. G. Propp and D. B. Wilson, J. Algorithms 27
1998
Earlier work this paper cites.
M. Boyer et al., Fortschr. Phys. 46
1998
Cited alongside, same era.
M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in statistical mechanics
1999
Cited alongside, same era.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information
2000
Cited alongside, same era.
M. A. Novotny in Computer Simulation Studies in Condensed Matter Physics XII
2000
Cited alongside, same era.
N. Destainville, Phys. Rev. Lett. 88
2002
Cited alongside, same era.
F. Ritort and P. Sollich, Adv. Phys. 52
2003
Cited alongside, same era.
F. Magniez et al., in Proceedings of the 39th Annual ACM Symposium on Theory of Computing
2007
Later among the works it cites.
D. A. Meyer, Phil. Trans. R. Soc. Lond. A 360
2008
Later among the works it cites.
D. A. Lidar and O. Biham, Phys. Rev. E 56
2008
Later among the works it cites.
R. D. Somma et al., Phys. Rev. Lett. 101
2008
Later among the works it cites.
C. Chanal and W. Krauth, Phys. Rev. Lett. 100
2008
Later among the works it cites.
D. Aharonov et al., e-print arXiv:quant-ph/0702008; M. Van den Nest et al., Phys. Rev. A 80
2009
Later among the works it cites.
P. Wocjan and A. Abeyesinghe, Phys. Rev. A 78
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M. Szegedy, in Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
2004
Cited alongside, same era.
D. B. Wilson, Ann. Appl. Probab. 14
2004
Cited alongside, same era.
τ 𝒪 = τ \tau_{\mathcal{O}}=\tau if the average value of 𝒪 \mathcal{O} on the first eigenmode of P P is nonvanishing; otherwise τ 𝒪 < τ \tau_{\mathcal{O}}<\tau
Cited in the paper.
2009
Later among the works it cites.
C. Moore and S. Mertens, The Nature of Computation
2009
Later among the works it cites.