Physics

Geometric quantum complexity of bosonic oscillator systems

S. Chowdhury, M. Bojowald, et al.

This innovative research by Satyaki Chowdhury, Martin Bojowald, and Jakub Mielczarek delves into the quantum complexity of bosonic oscillator systems. By utilizing a geometric approach focused on Lie algebra, their findings promise to redefine our understanding and computation methods in the realm of high-dimensional Hilbert spaces.

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Abstract

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