Gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations

One of the most promising applications of quantum computers is solving partial differential equations (PDEs). By using the Schrödingerization technique—which converts nonconservative PDEs into Schrödinger equations—the problem can be reduced to Hamiltonian simulations. The particular class of Hamilt...

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Bibliographic Details
Main Authors: Nikita Guseynov, Xiajie Huang, Nana Liu
Format: Article
Language:English
Published: American Physical Society 2025-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/xlpd-fb1g
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