most citedEfficient explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations

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quant-ph2025

Quantum Framework for Simulating Linear PDEs with Robin Boundary Conditions

Nikita Guseynov, Xiajie Huang, Nana Liu

We propose an explicit, oracle-free quantum framework for numerically simulating general linear partial differential equations (PDEs), extending previous work to incorporate (a) Ro…

quant-ph2024★ 14 cited

Efficient explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations

Nikita Guseynov, Xiajie Huang, Nana Liu

One of the most promising applications of quantum computers is solving partial differential equations (PDEs). By using the Schrodingerisation technique - which converts non-conserv…