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Add SparseMatrixHermitian block-encoding #1479

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anurudhp
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Implements a Hermitian block-encoding $U$ of a sparse matrix $A$. i.e. the unitary $U$ is Hermitian, or equivalently, a reflection. This is useful to directly build an efficient walk operator, for example in #1348

Ref: https://arxiv.org/abs/2201.08309, Ch. 6.5. Proposition 6.8, Fig 6.7.

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@tanujkhattar @fdmalone ptal!

@anurudhp anurudhp force-pushed the 2024/10/29-be-sparse-hermitian branch from f379700 to b1ee833 Compare November 2, 2024 21:08
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@mpharrigan mpharrigan left a comment

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Thanks! @tanujkhattar may have some comments later, which I endeavor you to address if and when they occur; but to keep things moving, I'm going to LGTM and merge this

@mpharrigan mpharrigan merged commit b65ba6d into quantumlib:main Nov 4, 2024
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@anurudhp anurudhp deleted the 2024/10/29-be-sparse-hermitian branch November 4, 2024 21:49
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2 participants