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arxiv: 1703.10141 · v2 · pith:TEVW4FBWnew · submitted 2017-03-29 · ❄️ cond-mat.str-el · cond-mat.quant-gas

Polynomial complexity despite the fermionic sign

classification ❄️ cond-mat.str-el cond-mat.quant-gas
keywords carlocomputationalfermionicmontequantitiessignthermodynamic-limitalgorithm
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It is commonly believed that in quantum Monte Carlo approaches to fermionic many- body problems, the infamous sign problem generically implies prohibitively large computational times for obtaining thermodynamic-limit quantities. We point out that for convergent Feynman diagrammatic series evaluated with the Monte Carlo algorithm of [Rossi, arXiv:1612.05184], the computational time increases only polynomially with the inverse error on thermodynamic-limit quantities.

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