Category-Theoretic Control Theory: Differentiable Monoidal Dynamics for Trainable Quantum Generators

We present the first framework where symmetric-monoidal Markov functors map directly to Lindbladian generators via categorical semantics, enabling end-to-end differentiable training of open quantum dynamics.

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Publication Details

Published
2025-10-13
DOI
https://doi.org/10.33774/coe-2025-mqqfp
Primary Topic
Quantum Mechanics and Applications
Type
article
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article

Category-Theoretic Control Theory: Differentiable Monoidal Dynamics for Trainable Quantum Generators

Udo Granops
Quantum Mechanics and Applications
article

Category-Theoretic Control Theory: Differentiable Monoidal Dynamics for Trainable Quantum Generators

Udo Granops
article en

Abstract

We present the first framework where symmetric-monoidal Markov functors map directly to Lindbladian generators via categorical semantics, enabling end-to-end differentiable training of open quantum dynamics.

Openalex Percentile: Top 77%
Quantum Mechanics and Applications
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Category-Theoretic Control Theory: Differentiable Monoidal Dynamics for Trainable Quantum Generators — Udo Granops · (2025) | TGRS Research Map | TGRS