Efficient and Explicit Block Encoding of Finite Difference Discretizations of the Laplacian

arXiv:2509.02429 · quant-ph · Submitted 2025-09-02 · Read on arXiv

quant-ph

Submitted: 2025-09-02

Updated: 2025-09-02

DOI: 10.1145/3837860

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Block Encoding — 4× in this paper · explained in 5 episodes

Sources

• Escaping many-body localization in an exact eigenstate
• Expressing and Analyzing Quantum Algorithms with Qualtran
• Resource-efficient Variational Compilation of Block-Encodings

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