Challenges with Differentiable Quantum Dynamics
Fuente:
arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908914956632064 |
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| author | Narayanan, Sri Hari Krishna Perlin, Michael Lewis-Swan, Robert Larson, Jeffrey Menickelly, Matt Hückelheim, Jan Hovland, Paul |
| author_facet | Narayanan, Sri Hari Krishna Perlin, Michael Lewis-Swan, Robert Larson, Jeffrey Menickelly, Matt Hückelheim, Jan Hovland, Paul |
| contents | Differentiable quantum dynamics require automatic differentiation of a complex-valued initial value problem, which numerically integrates a system of ordinary differential equations from a specified initial condition, as well as the eigendecomposition of a matrix. We explored several automatic differentiation frameworks for these tasks, finding that no framework natively supports our application requirements. We therefore demonstrate a need for broader support of complex-valued, differentiable numerical integration in scientific computing libraries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Challenges with Differentiable Quantum Dynamics Narayanan, Sri Hari Krishna Perlin, Michael Lewis-Swan, Robert Larson, Jeffrey Menickelly, Matt Hückelheim, Jan Hovland, Paul Quantum Physics Optimization and Control Differentiable quantum dynamics require automatic differentiation of a complex-valued initial value problem, which numerically integrates a system of ordinary differential equations from a specified initial condition, as well as the eigendecomposition of a matrix. We explored several automatic differentiation frameworks for these tasks, finding that no framework natively supports our application requirements. We therefore demonstrate a need for broader support of complex-valued, differentiable numerical integration in scientific computing libraries. |
| title | Challenges with Differentiable Quantum Dynamics |
| topic | Quantum Physics Optimization and Control |
| url | https://arxiv.org/abs/2406.06361 |