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arXiv · 2406.06361

Challenges with Differentiable Quantum Dynamics

Sri Hari Krishna Narayanan·Michael Perlin·Robert Lewis-Swan·Jeffrey Larson·Matt Menickelly·Jan Hückelheim·Paul Hovland
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Abstract

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.

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Sri Hari Krishna Narayanan, Michael Perlin, Robert Lewis-Swan, Jeffrey Larson, Matt Menickelly, Jan Hückelheim, Paul Hovland. 2024-06-10. Challenges with Differentiable Quantum Dynamics. https://doi.org/10.1137/1.9781611979039.19

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