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Issue 2, 2013
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Computational complexity in electronic structure

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Abstract

In quantum chemistry, the price paid by all known efficient model chemistries is either the truncation of the Hilbert space or uncontrolled approximations. Theoretical computer science suggests that these restrictions are not mere shortcomings of the algorithm designers and programmers but could stem from the inherent difficulty of simulating quantum systems. Extensions of computer science and information processing exploiting quantum mechanics has led to new ways of understanding the ultimate limitations of computational power. Interestingly, this perspective helps us understand widely used model chemistries in a new light. In this article, the fundamentals of computational complexity will be reviewed and motivated from the vantage point of chemistry. Then recent results from the computational complexity literature regarding common model chemistries including Hartree–Fock and density functional theory are discussed.

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Publication details

The article was received on 02 Aug 2012, accepted on 08 Nov 2012 and first published on 12 Nov 2012


Article type: Perspective
DOI: 10.1039/C2CP42695A
Citation: Phys. Chem. Chem. Phys., 2013,15, 397-411
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    Computational complexity in electronic structure

    J. D. Whitfield, P. J. Love and A. Aspuru-Guzik, Phys. Chem. Chem. Phys., 2013, 15, 397
    DOI: 10.1039/C2CP42695A

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