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The nonequilibrium quantum many-body problem as a paradigm for extreme data science

2014/10/31 by J. K. Freericks, B. K. Nikolic, B. K. Nikolić +1
Computer Science · Mathematics · Physics and Astronomy · #Big data #Hilbert space #Non-equilibrium thermodynamics #Perspective (graphical) #Quantum #Quantum Computing Algorithms and Architecture #Quantum computer #Quantum many-body systems #Space (punctuation) #Statistical Mechanics and Entropy #cond-mat.stat-mech #cond-mat.str-el #cs.CC #cs.CE #math-ph #math.MP

paper · pdf · doi:10.1142/s0217979214300217

published as Int J. Mod. Phys. B 28, 1430021 (2014) · 33 pages, 7 figures, invited review for Int. J. Mod. Phys. B; published version with additional references

openalex publication_date 2014/12/04 · arxiv created 2014/12/09 · arxiv updated 2014/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Generating big data pervades much of physics. But some problems, which we call extreme data problems, are too large to be treated within big data science. The nonequilibrium quantum many-body problem on a lattice is just such a problem, where the Hilbert space grows exponentially with system size and rapidly becomes too large to fit on any computer (and can be effectively thought of as an infinite-sized data set). Nevertheless, much progress has been made with computational methods on this problem, which serve as a paradigm for how one can approach and attack extreme data problems. In addition, viewing these physics problems from a computer-science perspective leads to new approaches that can be tried to solve more accurately and for longer times. We review a number of these different ideas here.

Citations