Explicit block encoding of the DoG operator achieves constant subnormalization factor λ=2 and a closed-form success probability that scales as O(h^4) on fine grids.
Explicit quantum circuits for block encodings of certain sparse matrices.SIAM Journal on Matrix Analysis and Applications, 45(1):801–827, 2024
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Sampling-based methods for quantum state preparation achieve asymptotically lower T-count than rotation-based methods and maintain an advantage in total gate count after accounting for compilation overhead.
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Explicit Block Encoding of Difference-of-Gaussian Operators on a Periodic Grid
Explicit block encoding of the DoG operator achieves constant subnormalization factor λ=2 and a closed-form success probability that scales as O(h^4) on fine grids.
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Logical Resource Estimation for Quantum State Preparation with Compilation
Sampling-based methods for quantum state preparation achieve asymptotically lower T-count than rotation-based methods and maintain an advantage in total gate count after accounting for compilation overhead.