Dynamical Lie Algebras for Fixed-Gate Quantum Ans\"atze

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.

Quantum Physics (quant-ph); Quantum Algebra (math.QA)

arXiv:2610.13709 [quant-ph]

(or arXiv:2610.13709v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.13709 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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