Quantum states, groups and monotone metric tensors
Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
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Accepted: 13 June 2020
Published online: 27 June 2020
A novel link between monotone metric tensors and actions of suitable extensions of the unitary group on the manifold of faithful quantum states is presented here by means of three illustrative examples related with the Bures–Helstrom metric tensor, the Wigner–Yanase metric tensor, and the Bogoliubov–Kubo–Mori metric tensor.
© The Author(s), 2020