Efficient Operator Selection and Warm-Start Strategy for Excitations in Variational Quantum Eigensolvers

• URL: http://arxiv.org/abs/2602.10776v2
• Date: Thu, 12 Feb 2026 15:06:16 GMT
• Title: Efficient Operator Selection and Warm-Start Strategy for Excitations in Variational Quantum Eigensolvers
• Authors: Max Haas, Thierry N. Kaldenbach, Thomas Hammerschmidt, Daniel Barragan-Yani,
• Abstract summary: We present a novel approach for efficient preparation of electronic ground states, leveraging the Excitation and Energy Sorting tools.<n>We show that this approach reduces the computational complexity associated with traditional optimization methods.<n>Overall, we empirically observe a quadratic convergence speedup beyond state-of-the-art methods, advancing the realization of quantum advantage in quantum chemistry.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a novel approach for efficient preparation of electronic ground states, leveraging the optimizer ExcitationSolve [Jäger et al., Comm. Phys. (2025)] and established variational quantum eigensolver-based operator selection methods, such as Energy Sorting. By combining these tools, we demonstrate a computationally efficient protocol that enables the construction of an approximate ground state from a unitary coupled cluster ansatz via a single sweep over the operator pool. Utilizing efficient classical pre-processing to select the majority of relevant operators, this approach reduces the computational complexity associated with traditional optimization methods. Furthermore, we show that this method can be seamlessly integrated with one-variational-parameter couple exchange operators, thereby further reducing the number of required CNOT operations. Overall, we empirically observe a quadratic convergence speedup beyond state-of-the-art methods, advancing the realization of quantum advantage in quantum chemistry.

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