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arXiv · 2610.13709

Dynamical Lie Algebras for Fixed-Gate Quantum Ansätze

Orlane Zang·Daniel Juteau·Tony Quertier·Grégoire Barrué
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Abstract

Parameterized Quantum Circuits have emerged as a central framework for variational quantum algorithms in the NISQ regime, with major applications in quantum simulation, combinatorial optimization, and, more recently, quantum machine learning (QML). By developing a new approach for computing dynamical Lie algebras associated with quantum circuits combining parametrized gates and non-parametrized entangling gates, we aim to extend the applicability of recent algebraic results to architectures that are actually used in quantum machine learning.

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Orlane Zang, Daniel Juteau, Tony Quertier, Grégoire Barrué. 2026-10-09. Dynamical Lie Algebras for Fixed-Gate Quantum Ansätze. https://arxiv.org/abs/2610.13709

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