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Quantum Machine Learning

Challenges with Differentiable Quantum Dynamics

arXiv
Authors: Sri Hari Krishna Narayanan, Michael Perlin, Robert Lewis-Swan, Jeffrey Larson, Matt Menickelly, Jan Hückelheim, Paul Hovland

Year

2024

Paper ID

66725

Status

Preprint

Abstract Read

~2 min

Abstract Words

69

Citations

N/A

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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  • Differentiable quantum dynamics require automatic differentiation of a complex-valued initial value problem, which numerically integrates a system of ordinary differential...

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