Derives analytic formulae for curvature, volume forms, and harmonic maps on the induced Riemannian manifold of special unitary operators arising from quantum feature maps applied to data point clouds assumed to form smooth manifolds.
Lie groups, Lie algebras, and their representations, volume 102
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Geodesics of Quantum Feature Maps on the Space of Quantum Operators
Derives analytic formulae for curvature, volume forms, and harmonic maps on the induced Riemannian manifold of special unitary operators arising from quantum feature maps applied to data point clouds assumed to form smooth manifolds.