188 citations · 1.3k across the 84 of their papers we have counts for
6 papers · 1 filter
On the spectral gap of random quantum channels
Carlos E. González-Guillén, Marius Junge, Ion Nechita
In this work, we prove a lower bound on the difference between the first and second singular values of quantum channels induced by random isometries, that is tight in the scaling o…
Compatibility of quantum measurements and inclusion constants for the matrix jewel
Andreas Bluhm, Ion Nechita
In this work, we establish the connection between the study of free spectrahedra and the compatibility of quantum measurements with an arbitrary number of outcomes. This generalize…
On the joint distribution of the marginals of multipartite random quantum states
Stephane Dartois, Luca Lionni, Ion Nechita
We study the joint distribution of the set of all marginals of a random Wishart matrix acting on a tensor product Hilbert space. We compute the limiting free mixed cumulants of the…
Joint measurability of quantum effects and the matrix diamond
Andreas Bluhm, Ion Nechita
In this work, we investigate the joint measurability of quantum effects and connect it to the study of free spectrahedra. Free spectrahedra typically arise as matricial relaxations…
On the separability of unitarily invariant random quantum states - the unbalanced regime
Ion Nechita
We study entanglement-related properties of random quantum states which are unitarily invariant, in the sense that their distribution is left unchanged by conjugation with arbitrar…
de Finetti reductions for partially exchangeable probability distributions
Ivan Bardet, Cécilia Lancien, Ion Nechita
We introduce a general framework for de Finetti reduction results, applicable to various notions of partially exchangeable probability distributions. Explicit statements are derive…