Work

Dynamical Lie Algebras for Fixed-Gate Quantum Ansätze

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.13709

Authors: Zang, Orlane, Juteau, Daniel, Quertier, Tony, Barrué, Grégoire

Institutions: Centre National de la Recherche Scientifique, Orange (France), Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221512704

Cites: 19

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Related to: 10