70 citations · 155 across the 5 of their papers we have counts for
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quant-ph2010★ 70 cited
Preparing thermal states of quantum systems by dimension reduction
Ersen Bilgin, Sergio Boixo
We present an algorithm that prepares thermal Gibbs states of one dimensional quantum systems on a quantum computer without any memory overhead, and in a time significantly shorter…
quant-ph2009★ 19 cited
Coarse grained belief propagation for simulation of interacting quantum systems at all temperatures
Ersen Bilgin, David Poulin
We continue our numerical study of quantum belief propagation initiated in [Phys. Rev. A, 77 (2008), p. 052318]. We demonstrate how the method can be expressed in terms of an effec…
quant-ph2007★ 26 cited
Belief propagation algorithm for computing correlation functions in finite-temperature quantum many-body systems on loopy graphs
David Poulin, Ersen Bilgin
Belief propagation -- a powerful heuristic method to solve inference problems involving a large number of random variables -- was recently generalized to quantum theory. Like its c…