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Quantum circuits for partial differential equations in Fourier space

Michael Lubasch1,*, Yuta Kikuchi2,3, Lewis Wright1, and Conor Mc Keever1

  • 1Quantinuum, Partnership House, Carlisle Place, London SW1P 1BX, United Kingdom
  • 2Quantinuum K.K., Otemachi Financial City Grand Cube 3F, 1-9-2 Otemachi, Chiyoda-ku, Tokyo, Japan
  • 3RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS), RIKEN, Wako, Saitama 351-0198, Japan

  • *Contact author: michael.lubasch@quantinuum.com

Quantum framework for simulating linear PDEs with Robin boundary conditions

Nikita Guseynov, Xiajie Huang, and Nana Liu

Quantum Sci. Technol. 11 015057 (2026)

Function extraction via Chebyshev interpolation of quantum integral estimates

Gumaro Rendón

Phys. Rev. Research 8 023095 (2026)

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

Sergio Bengoechea, Paul Over, and Thomas Rung

Numerical Meth Engineering 127 e70326 (2026)

Prospect of quantum computing on Enhanced Strain Gradient Crystal Plasticity theory

Amirhossein Lame Jouybari and Leon Cizelj

International Journal of Plasticity 202 104711 (2026)

A quantum spectral method for non-periodic boundary value problems

Eky Febrianto, Yiren Wang, Burigede Liu, Michael Ortiz, and Fehmi Cirak

Computer Methods in Applied Mechanics and Engineering 457 118934 (2026)

Modeling noise in quantum computing of scalar convection

Jiahua Yang, Zhen Lu, and Yue Yang

Acta Mech. Sin. 42 351281 (2026)

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