Digital quantum simulation, learning of the Floquet Hamiltonian, and quantum chaos of the kicked top

DOI10.1088/1751-8121/ac8087OpenAlexW4292707746MaRDI QIDQ5057871

P. Zoller, Lukas M. Sieberer, Christian Kokail, Lorenzo Pastori, Tobias Olsacher

Publication date: 1 December 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13837

zbMATH Keywords

quantum chaosdigital quantum simulationHamiltonian learningkicked topTrotter errors

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Floquet-Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
• Convergence of the Magnus series
• Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations
• Random matrices and chaos in nuclear physics: Nuclear reactions
• Universal Quantum Simulators
• On the Product of Semi-Groups of Operators
• Traces of Products of Angular Momentum Matrices
• Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• Higher order decompositions of ordered operator exponentials
• Sufficient conditions for the convergence of the Magnus expansion
• Quantum signatures of chaos

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