Solving nonlinear differential equations on noisy $156$-qubit quantum computers
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908824656412672 |
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| author | Baumann, Karla Modheb, Youcef Randrianarisoa, Roman Katz, Roland Boyle, Aoife Holweck, Frédéric |
| author_facet | Baumann, Karla Modheb, Youcef Randrianarisoa, Roman Katz, Roland Boyle, Aoife Holweck, Frédéric |
| contents | In this paper, we report on the resolution of nonlinear differential equations using IBM's quantum platform. More specifically, we demonstrate that the hybrid classical-quantum algorithm H-DES successfully solves a one-dimensional material deformation problem and the inviscid Burgers' equation on IBM's 156-qubit quantum computers. These results constitute a step toward performing physically relevant simulations on present-day Noisy Intermediate-Scale Quantum (NISQ) devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04439 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Solving nonlinear differential equations on noisy $156$-qubit quantum computers Baumann, Karla Modheb, Youcef Randrianarisoa, Roman Katz, Roland Boyle, Aoife Holweck, Frédéric Quantum Physics In this paper, we report on the resolution of nonlinear differential equations using IBM's quantum platform. More specifically, we demonstrate that the hybrid classical-quantum algorithm H-DES successfully solves a one-dimensional material deformation problem and the inviscid Burgers' equation on IBM's 156-qubit quantum computers. These results constitute a step toward performing physically relevant simulations on present-day Noisy Intermediate-Scale Quantum (NISQ) devices. |
| title | Solving nonlinear differential equations on noisy $156$-qubit quantum computers |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.04439 |