Questions tagged [fubini-study-metric]
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4 questions
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Infinitesimal trace distance and metric
It is well known that the Bures distance between two infinitesimally close density matrices induces the Bures metric. Likewise the quantum Fisher information metric is related to the infinitesimal ...
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How to go from finite to infinitesimal form of the 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
$$\gamma(\psi,\phi) = \arccos\sqrt{\frac{\langle\psi|\phi\...
glS♦
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Prove that the Bures metric satisfies a contractive property and has unitary invariance
In this paper, the authors assert that the Bures metric satisfies a contractive property and has unitary invariance. These terms aren't defined or proved in the paper, nor is any reference given for a ...
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What is the $K_i$ in Fubini-Study tensor?
Following this paper and tutorial from Pennylane, I'm trying to re-calculate the Fubini-Study tensor:
$$
g_{i j}^{(\ell)}=\left\langle\psi_{\ell-1}\left|K_{i} K_{j}\right| \psi_{\ell-1}\right\rangle-\...
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