Isometry Groups of Right Invariant Metrics in Geometric Quantum Complexity

Abstract:In this paper, we give a complete description for the full isometry groups of a class of right invariant Riemannian metrics on the special unitary group $\mathrm{SU}(2^N)$. These metrics have been used by physicists to study Nielsen's geometric approach for complexities in quantum computations.

Differential Geometry (math.DG); Quantum Physics (quant-ph)

arXiv:2609.20987 [math.DG]

(or arXiv:2609.20987v1 [math.DG] for this version)

https://doi.org/10.48550/arXiv.2609.20987 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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