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The electronic complexity of the ground-state of the FeMo cofactor of nitrogenase as relevant to quantum simulations

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TLDR
A different model active space for the FeMo cofactor that contains the basic open-shell qualitative character may be useful as a benchmark system for making resource estimates for classical and quantum computers.
Abstract
We report that a recent active space model of the nitrogenase FeMo cofactor, proposed in the context of simulations on quantum computers, is not representative of the electronic structure of the FeMo cofactor ground-state. A more representative model does not affect much certain resource estimates for a quantum computer such as the cost of a Trotter step, while strongly affecting others such as the cost of adiabatic state preparation. Thus, conclusions should not be drawn from the complexity of quantum or classical simulations of the electronic structure of this system in this active space. We provide a different model active space for the FeMo cofactor that contains the basic open-shell qualitative character, which may be useful as a benchmark system for making resource estimates for classical and quantum computers.

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Even more efficient quantum computations of chemistry through tensor hypercontraction

TL;DR: The key insight is to factorize the Hamiltonian using a method known as tensor hypercontraction (THC) and then to transform the Coulomb operator into an isospectral diagonal form with a non-orthogonal basis defined by the THC factors.
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Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization

TL;DR: In this paper, a qubitized quantum walk was proposed to simulate the Coulomb operator of the FeMoco molecule, which is relevant to Nitrogen fixation, and obtained circuits requiring about seven hundred times less surface code spacetime volume than prior quantum algorithms for this system.
References
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TL;DR: In this article, a semi-empirical exchange correlation functional with local spin density, gradient, and exact exchange terms was proposed. But this functional performed significantly better than previous functionals with gradient corrections only, and fits experimental atomization energies with an impressively small average absolute deviation of 2.4 kcal/mol.
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Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density

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Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy

TL;DR: A large set of more than 300 molecules representing all elements-except lanthanides-in their common oxidation states was used to assess the quality of the bases all across the periodic table, and recommendations are given which type of basis set is used best for a certain level of theory and a desired quality of results.
Journal ArticleDOI

Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields

TL;DR: In this article, the unpolarized absorption and circular dichroism spectra of the fundamental vibrational transitions of the chiral molecule, 4-methyl-2-oxetanone, are calculated ab initio using DFT, MP2, and SCF methodologies and a 5S4P2D/3S2P (TZ2P) basis set.
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COSMO : a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient

TL;DR: In this paper, an algorithm for the accurate calculation of dielectric screening effects in solvents is presented, which leads to rather simple expressions for the screening energy and its analytic gradient with respect to the solute coordinates.
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