Questions tagged [fubini-study-metric]

As mentioned e.g. in the Wikipedia page, given a pair of pure states $\psi,\phi\in\mathbb{CP}^{N-1}$, the geodesic distance between them is $$\gamma(\psi,\phi) =…

Following this paper and tutorial from Pennylane, I'm trying to re-calculate the Fubini-Study tensor: $$ g_{i j}^{(\ell)}=\left\langle\psi_{\ell-1}\left|K_{i} K_{j}\right| \psi_{\ell-1}\right\rangle-\left\langle\psi_{\ell-1}\left|K_{i}\right|…

In this paper, the authors assert that the Bures metric satisfies a contractive property and has unitary invariance. These terms aren't defined or proved in the paper, nor is any reference given for a definition or proof. Can anyone provide a…