An explicit block-encoding circuit for the periodic finite-difference Laplacian in D dimensions, with sub-normalization factor D divided by the next power of two and success probability O(h^4) for smooth inputs.
Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
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Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian
An explicit block-encoding circuit for the periodic finite-difference Laplacian in D dimensions, with sub-normalization factor D divided by the next power of two and success probability O(h^4) for smooth inputs.