Here we discuss the annealing behavior of an infinite-range +/-J Ising spin glass in the presence of a transverse field using a zero-temperature quantum Monte Carlo method. Within the simulation scheme, we demonstrate that quantum annealing not only helps finding the ground state of a classical spin glass, but can also help simulating the ground state of a quantum spin glass, in particular, when the transverse field is low, much more efficiently.

arXiv:0803.4508Physical Review EDec 19, 200811 citations

Low temperature behavior of the two-dimensional Ising spin glass

L. W. Lee, Helmut G. Katzgraber, A. P. Young

APSMar 1, 20040 citations

Solid State Communications

Zero-temperature transition in a classical transverse Ising spin glass

R. Pirc, Peter Prelovšek, Bosiljka Tadić

Published Oct 1, 1987• 4 citations

Publisher

DOI: 10.1016/0038-1098(87)90537-0

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APSMar 1, 20040 citations

We discuss the zero-temperature behavior of the transverse Ising spin-glass ($\ifmmode\pm\else\textpm\fi{}{J}_{0}$) model. The

d

-dimensional quantum model is shown to be equivalent to a classical (

d+1

)-dimensional Ising spin glass with correlated disorder. A renormalization-group treatment of the one-dimensional quantum model indicates the existence of a spin-glass phase. The Migdal-Kadanoff approximation is used to obtain the phase diagram of the quantum spin glass in two dimensions.