This paper explores the quantum complexity of bosonic oscillator systems using a geometric approach. It addresses limitations of previous methods by focusing on the Lie algebra rather than the group, providing a more computable definition, particularly for high-dimensional Hilbert spaces. The authors investigate the complexity of unitary operators associated with harmonic, inverted harmonic, and coupled harmonic oscillators, as well as an anharmonic oscillator with a cubic term, demonstrating the generality of their approach.
Publisher
Journal of High Energy Physics (JHEP)
Published On
Oct 04, 2024
Authors
Satyaki Chowdhury, Martin Bojowald, Jakub Mielczarek
Tags
quantum complexity
bosonic oscillators
geometric approach
Lie algebra
unitary operators
high-dimensional Hilbert spaces
anharmonic oscillators
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