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Pablo Costa Rico

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Articles

[2608.15833] Geodesic Quantum $f$-Divergences

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By Pablo Costa Rico
| arXiv
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[2608.15916] Information Geometry of the Geodesic Quantum $f$-Divergences

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By Pablo Costa Rico
| arXiv
We study the differential, statistical, and geometrical consequences generated by the geodesic quantum $f$-divergences introduced in [14], which are constructed by interpolating the relative modular operator and the commutant Radon-Nikodym derivative using a geodesic with parameter $t\in [0,1]$.
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[2607.24687] Sharp continuity of quantum conditional entropy

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By Ludovico Lami, Pablo Costa Rico, Gereon Kossmann
| arXiv
We prove the sharp uniform continuity bound for quantum conditional entropy. If two bipartite states are at trace distance at most $δ$ and $d=\dim A$, the optimal dimension-only modulus of continuity is $h_2(δ)+δ\log(d^2-1)$ up to $δ=1-d^{-2}$ and $2\log d$ thereafter, where $h_2$ denotes the binary entropy.
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