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Quantum algorithms for the exponentiation of Toeplitz matrices and applications in partial differential equations

Gutiérrez, Xabier et al.
arXiv (All) · Papers
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quantum-physics
We present quantum algorithms to approximate the exponential of banded Toeplitz matrices. These matrices have central importance in many PDE related problems, but their quantum implementation is hindered by their possibly large norms. Constructing directly the exponential we can circumvent this limi
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