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Physical Review Research

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Phys. Rev. Research (3)Quantum Sci. Technol. (2)APL Computational Physics (1)DCDS (1)IEEE Trans. Quantum Eng. (1)Journal of Computational Physics (1)

Articles Citing

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

Nikita Guseynov ^*

Xiajie Huang ^†

University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai 200240, China

School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Institute of Natural Sciences, School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240; China Ministry of Education Key Laboratory in Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai 200240 China; Shanghai Artificial Intelligence Laboratory, Shanghai, China; and University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai 200240, China

^*Contact author: guseynov.nm@gmail.com
^†Contact author: xj.huang@sjtu.edu.cn
^‡Contact author: nana.liu@quantumlah.org

Quantum finite element algorithm for solving Euler–Bernoulli and heat transfer PDEs with Dirichlet, Neumann, and Robin boundary conditions

Dingjie Lu, Zhao Wang, Jun Liu, Yangfan Li, Wei-Bin Ewe, and Zhuangjian Liu

Quantum Sci. Technol. 11 015051 (2026)

Quantum framework for simulating linear PDEs with Robin boundary conditions

Nikita Guseynov, Xiajie Huang, and Nana Liu

Quantum Sci. Technol. 11 015057 (2026)

Toward end-to-end quantum simulation of rapidly distorted turbulence

Zhaoyuan Meng, Leyu Chen, Jin-Peng Liu, and Guowei He

Journal of Computational Physics 558 114888 (2026)

Binary Tree Block Encoding of Classical Matrix

Zexian Li, Xiao-Ming Zhang, Chunlin Yang, and Guofeng Zhang

IEEE Trans. Quantum Eng. 7 1 (2026)

Quantum random feature method for solving partial differential equations

Junpeng Hu, Shi Jin, Nana Liu, and Lei Zhang

DCDS 55 497 (2026)

Scalable quantum computational science: A perspective from block-encodings and polynomial transformations

Kevin J. Joven, Elin Ranjan Das, Joel Bierman, Aishwarya Majumdar, Masoud Hakimi Heris, and Yuan Liu

APL Computational Physics 2 010901 (2026)

No title available

Yunah Choi, Jeihee Cho, and Shiho Kim

Quantum wave simulation with sources and loss functions

Cyrill Bösch, Malte Schade, Giacomo Aloisi, Scott D. Keating, and Andreas Fichtner

Phys. Rev. Research 7 033225 (2025)

Quantum dynamics simulation of the advection-diffusion equation

Hirad Alipanah, Feng Zhang, Yong-Xin Yao, Richard Thompson, Nam Nguyen, Junyu Liu, Peyman Givi, Brian J. McDermott, and Juan José Mendoza-Arenas

Phys. Rev. Research 7 043318 (2025)

Quantum circuits for partial differential equations in Fourier space

Michael Lubasch, Yuta Kikuchi, Lewis Wright, and Conor Mc Keever

Phys. Rev. Research 7 043326 (2025)

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