4 papers
Tensor invariants for multipartite entanglement classification
Sylvain Carrozza, Johann Chevrier, Luca Lionni
Organising the space of entanglement structures of a multipartite quantum system is a much more challenging task than its bipartite version: while the local unitary (LU) orbit of a…
Large factorization of families of tensor trace-invariants
Sylvain Carrozza, Johann Chevrier, Luca Lionni
It was recently proven that, in contrast to their matrix analogues, the moments of a real Gaussian tensor of size N do not in general factorize over their connected components in t…
Properties of tensorial free cumulants
Thomas Buc-d'Alché, Luca Lionni
In the past two years, several points of view have been proposed to address the question of the generalization of the theory of free probability to random tensors with different in…
Free cumulants and freeness for unitarily invariant random tensors
Benoit Collins, Razvan Gurau, Luca Lionni
We address the question of the asymptotic description of random tensors that are local-unitary invariant, that is, invariant by conjugation by tensor products of independent unitar…