Monodromy matrices as universal set of quantum gates and dynamics of cold trapped ions

DOI10.32513/tbilisi/1593223227OpenAlexW3037580560MaRDI QIDQ2081155

Yanyan Li

Publication date: 12 October 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/tbilisi/1593223227

zbMATH Keywords

monodromyholonomygeometric phasequantum gatesFuchsian systemexactly solvable Hamiltonian

Mathematics Subject Classification ID

Quantum computation (81P68) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Cites Work

• Some analytical and geometrical aspects of stable partial indices
• Holonomic quantum computation
• Simulation of topological field theories by quantum computers
• On Schrödinger equations of Okubo type
• Quantum computing in exactly solvable models and geometric phases
• Analytical calculation of nonadiabatic transition probabilities from the monodromy of differential equations
• MONODROMY APPROACH TO QUANTUM COMPUTING
• MONODROMY ARISING FROM THE MARKOFF THEORY
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