Questions tagged [fubini-study-metric]

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4 votes
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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's user avatar
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1 vote
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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 ...
SescoMath's user avatar
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2 votes
1 answer
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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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