282 citations · 793 across the 21 of their papers we have counts for
21 papers
On quantum functionals for higher-order tensors
Alonso Botero, Matthias Christandl, Thomas C. Fraser +2
Upper and lower quantum functionals, introduced by Christandl, Vrana and Zuiddam (STOC 2018, J. Amer. Math. Soc. 2023), are families of monotone functions of tensors indexed by a w…
Adiabatic driving and parallel transport for parameter-dependent Hamiltonians
A. D. Bermúdez Manjarres, A. Botero
We use the Van Vleck-Primas perturbation theory to study the problem of parallel transport of the eigenvectors of a parameter-dependent Hamiltonian. The perturbative approach allow…
Large deviation principle for moment map estimation
Alonso Botero, Matthias Christandl, Péter Vrana
We consider a family of positive operator valued measures associated with representations of compact connected Lie groups. For many independent copies of a single state and a tenso…
Universal and distorsion-free entanglement concentration of multiqubit quantum states in the W class
Alonso Botero, José Mejía
We propose a multipartite extension of Matsumoto and Hayashi's distortion-free entanglement concentration protocol, which takes copies of a general multipartite state and, via…
The difference between two random mixed quantum states: exact and asymptotic spectral analysis
José Mejía, Camilo Zapata, Alonso Botero
We investigate the spectral statistics of the difference of two density matrices, each of which is independently obtained by partially tracing a random bipartite pure quantum state…
The two-dimensional three-body problem in a strong magnetic field is integrable
A. Botero, F. Leyvraz
The problem of particles interacting through pairwise central forces is notoriously intractable for . Some quite remarkable specific cases have been solved in one dimen…