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We explore a nonvariational quantum state preparation approach combined with the ADAPT operator selection strategy in the application of preparing the ground state of a desired target Hamiltonian. In this algorithm, energy gradient measurements determine both the operators and the gate parameters in the quantum circuit construction. We compare this nonvariational algorithm with ADAPT-VQE and with feedback-based quantum algorithms in terms of the rate of energy reduction, the circuit depth, and the measurement cost in molecular simulation. We find that, despite using deeper circuits, this new algorithm reaches chemical accuracy at a similar measurement cost to ADAPT-VQE. Since it does not rely on a classical optimization subroutine, it may provide robustness against circuit parameter errors due to imperfect control or gate synthesis.more » « lessFree, publicly-accessible full text available June 1, 2026
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Lukin, Illya V; Sotnikov, Andrii G; Leamer, Jacob M; Magann, Alicia B; Bondar, Denys I (, Physical Review Research)We present an expression for the spectral gap, opening up new possibilities for performing and accelerating spectral calculations of quantum many-body systems. We develop and demonstrate one such possibility in the context of tensor network simulations. Our approach requires only minor modifications of the widely used simple update method and is computationally lightweight relative to other approaches. We validate it by computing spectral gaps of the 2D and 3D transverse-field Ising models and find strong agreement with previously reported perturbation theory results. Published by the American Physical Society2024more » « less
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Magann, Alicia B; Economou, Sophia E; Arenz, Christian (, Physical Review Research)
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Magann, Alicia B.; Grace, Matthew D.; Rabitz, Herschel A.; Sarovar, Mohan (, Physical Review Research)
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