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Hamiltonian simulation, i.e., simulating the real time evolution of a target quantum system, is a natural application of quantum computing.
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R. Mansuroglu, T. Eckstein, L. Nützel, S. A. Wilkinson, and M. J. Hartmann, Variational Hamiltonian simulation for translational invariant systems via classical pre-processing, Quantum Sci. Technol. 8
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B. Peng, S. Gulania, Y. Alexeev, and N. Govind, Quantum time dynamics employing the Yang-Baxter equation for circuit compression, Phys. Rev. A 106
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D. Camps, E. Kökcü, L. Bassman Oftelie, W. A. de Jong, A. F. Kemper, and R. Van Beeumen, An algebraic quantum circuit compression algorithm for Hamiltonian simulation, SIAM J. Matrix Anal. Appl. 43
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2023
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N. Astrakhantsev, S.-H. Lin, F. Pollmann, and A. Smith, Time evolution of uniform sequential circuits, Phys. Rev. Res. 5
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