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Isometry Groups of Right Invariant Metrics in Geometric Quantum Complexity

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7213884534
Cites: 3
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Related to: 10