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QI: Fachverband Quanteninformation
QI 15: Quantum Information: Concepts and Methods II
QI 15.1: Vortrag
Donnerstag, 12. März 2026, 09:30–09:45, BEY/0137
Quantum dynmics induced by Pauli strings — •Roberto Gargiulo1,2 and Robert Zeier1 — 1Forschungszentrum Jülich GmbH, Peter Grünberg Institute, Quantum Control (PGI-8), 52425 Jülich, Germany — 2University of Cologne, Institute for theoretical physics (THP), 50937 Cologne, Germany
General quantum dynamics in qubit systems are described by independently controlled Hamiltonians consisting of sums of Pauli strings (i.e. tensor products of Pauli operators). We consider the case where each independently controlled Hamiltonian is given by a single Pauli string. We provide a unified description of the resulting dynamics relying on inherent symmetries and generated Lie algebras. This allows us to describe dynamical properties in terms of simple invariants and to detail possible free-fermionic mappings. We expand and extend recent work [1-3] which enables us to re-interpret them in a general framework. Our description addresses various questions of controllability, computational power, and many-body properties, especially in the context of Heisenberg picture and operator subspaces.
- [1] Chapman et al. Quantum 4, 278 (2020)
- [2] Kökcü et al., arXiv:2409.19797
- [3] Aguilar et al. arXiv:2408.00081
Keywords: Symmetries; Variational Quantum Algorithms; Lie Algebra; Quantum Control; Classical Simulability