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The density of states approach to the sign problem

2019/01/22 by Biagio Lucini, Lucini, Biagio, Olmo Francesconi +5
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computational Physics (physics.comp-ph) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.1901.07602

openalex publication_date 2019/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Approaches to the sign problem based on the density of states have been recently revived by the introduction of the LLR algorithm, which allows us to compute the density of states itself with exponential error reduction. In this work, after a review of the generalities of the method, we show recent results for the Bose gas in four dimensions, focussing on the identification of possible systematic errors and on methods of controlling the bias they can introduce in the calculation.

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