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We present an algorithm to approximate partition functions of 3-body classical Ising models on two-dimensional lattices of arbitrary genus, in the real-temperature regime.
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Since both color code states and product states can be efficiently prepared by a quantum circuit, the overlap mapping from [ 4 ] immediately yields a quantum algorithm to approximate these partition functions (see also below)
Cited in the paper.
The quantum algorithms in [ 8 ] deal with 2-body Ising models associated with Kitaevs toric code. Their approach is based on tensor network contraction on a quantum computer. It turns out out that this method yields the same result as a quantum algorithm which is directly based on the state overlap mapping [ 3 ] i.e. the additive errors produced by both approaches are the same, cf. ( 7
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Supplementary material
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2011
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