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Paper 1

A modular design of molecular qubits to implement universal quantum gates.

Ferrando-Soria J, Moreno Pineda E, Chiesa A, Fernandez A, Magee SA, Carretta S, Santini P, Vitorica-Yrezabal IJ, Tuna F, Timco GA, McInnes EJ, Winpenny RE.

Year
2016
Journal
Nat Commun
DOI
10.1038/ncomms11377
arXiv
-

No abstract.

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Paper 2

Thermodynamic Properties of Diatomic Molecules from the Frost-Musulin Potential

Mohammadjavad Parsanasab, Reza Khordad, Meysam Asadipour, Ahmad Ghanbari, Vatan Badalov

Year
2026
Journal
arXiv preprint
DOI
arXiv:2605.00039
arXiv
2605.00039

In this study, we present a quantum-statistical analysis of H$_2$ and LiH diatomic molecules within the Frost--Musulin potential framework. By combining the analytical bound-state approach to the radial Schrödinger problem with the near-equilibrium Pekeris representation, we obtain a validated rotation-vibration spectrum that reproduces a physically consistent ordering of energy levels. These bound states are subsequently combined with standard translational and rotational ideal gas contributions to construct the total partition function and the corresponding thermodynamic observables of the ground state. The resulting formulation captures the Gibbs free energy deviation function for both molecules with high quantitative accuracy and provides chemically plausible trends for heat capacity and enthalpy increase over a wide temperature range. At the same time, residual errors become increasingly pronounced in derivative-sensitive quantities, particularly at high temperatures; this indicates that the dominant limitations now stem not from the local bound-state spectrum itself, but from the neglect of inelastic rotational, continuity contributions and dynamics close to dissociation. Consequently, the present results define the potential model as a compact and analytically tractable representation of the bound region, recovering a significant portion of the observed thermochemistry whilst also delineating the regime where more comprehensive molecular statistical mechanics is required.

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