Explicit first- and second-order Trotter circuits are constructed for the discretized 3D elastic wave equation with derived error bounds and qubit/CNOT complexity estimates in terms of grid size, time, accuracy, and material parameters.
Krovi, Improved quantum algorithms for linear and nonlinear differential equations, Quantum7, 913 (2023)
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n-regular block encodings let QSP apply degree-n polynomials directly to the eigenvalues of any square matrix, with an efficient conversion from standard block encodings.
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Hamiltonian simulation for 3D elastic wave equations in homogeneous elastic media
Explicit first- and second-order Trotter circuits are constructed for the discretized 3D elastic wave equation with derived error bounds and qubit/CNOT complexity estimates in terms of grid size, time, accuracy, and material parameters.
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Quantum Eigenvalue Transformations for Arbitrary Matrices
n-regular block encodings let QSP apply degree-n polynomials directly to the eigenvalues of any square matrix, with an efficient conversion from standard block encodings.