The purpose of this review is to present some of the latest developments using random
techniques, and in particular, random matrix techniques in quantum information theory. Our …

The quest to build a quantum computer is arguably one of the major scientific and
technological challenges of the twenty-first century, and quantum information theory (QIT) …

We study random matrices acting on tensor product spaces which have been transformed by
a linear block operation. Using operator-valued free probability theory, under some mild …

Let be a random pure state on, where ψ is a random unit vector uniformly distributed on the
sphere in. Let be a random induced state whose distribution is, and let be a random induced …

We find an upper bound for the minimum output entropy of a unital quantum channel, and
obtain an exact formula for general qubit channels. Our techniques incorporate the Rényi …

We consider the sequences of random quantum channels defined by using the Stinespring
formula with Haar-distributed random orthogonal matrices. For any fixed sequence of input …

In this article, we investigate meandric systems having one shallow side: the arch
configuration on that side has depth at most two. This class of meandric systems was …

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 arbitrary …