Challenges with Differentiable Quantum Dynamics

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 diffe...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Sri Hari Krishna Narayanan, Perlin, Michael, Lewis-Swan, Robert, Larson, Jeffrey, Menickelly, Matt, Hückelheim, Jan, Hovland, Paul
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Differentiation
Numerical integration
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422