Physics

Radical-Fragment Many-Body Expansion for Linear Alkane Quantum Chemistry

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Researchers developed a radical-fragment many-body expansion method (MBE2) for calculating quantum chemistry properties of linear alkane molecules. The approach uses homolytic bond cleavage to create open-shell radical fragments, requiring only four unique fragment calculations regardless of chain length. Testing on alkanes from butane to hexacosane showed the method reduces qubit requirements by over 12-fold while maintaining accuracy across multiple quantum and classical solvers, including successful implementation on IBM quantum hardware.


This fragmentation approach significantly reduces the computational resources needed to study large molecules on quantum computers, making quantum chemistry calculations practical for systems that would otherwise exceed current quantum hardware capabilities. The method could accelerate the development of quantum algorithms for real-world chemical and materials science applications.


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arXiv:2606.31117v2 Announce Type: replace
Abstract: We introduce a radical-fragment many-body expansion at the two-body level (MBE2) for quantum chemistry of linear alkanes. Instead of heterolytic bond cleavage with hydrogen capping atoms and electrostatic embedding like in Fragment Molecular Orbital (FMO), we perform homolytic C-C bond cleavage to produce open-shell radical fragments (CH3, CH2) treated with restricted open-shell Hartree-Fock (ROHF) in isolation. The two-body MBE2 assembly formula reconstructs total alkane energies from only four unique fragment calculations regardless of chain length, reducing the maximum qubit requirement. We benchmark this framework against five energy solvers (RHF, CCSD, VQE, ADAPT-VQE, and SQD) across 11 linear alkanes from butane (C4H10) to hexacosane (C26H54). The MBE2 decomposition achieves a 12.3x qubit reduction for C26H54 (from 368 to 30 qubits) and a 12.8x reduction in unique calculations via symmetry exploitation. MBE2-VQE and MBE2-SQD (executed on IBM quantum hardware) closely track their respective classical MBE2 references, demonstrating that fragmentation-based quantum chemistry is viable for scaling quantum solvers to large molecular systems.

Source: Radical-Fragment Many-Body Expansion for Linear Alkane Quantum Chemistry