We argue that one of the following statements must be true:(a) extensive violations of
quantum information theory's additivity conjectures exist or (b) there exists a set …

In a previous paper, we proved that, in the appropriate asymptotic regime, the limit of the
collection of possible eigenvalues of output states of a random quantum channel is a …

It is well known that, under some assumptions, the limit distribution of random block matrices
and their partial transposition converges to the distributions of random variables in some …

arXiv:1603.00577v1 [math.OA] 2 Mar 2016 Page 1 arXiv:1603.00577v1 [math.OA] 2 Mar 2016
HAAGERUP’S INEQUALITY AND ADDITIVITY VIOLATION OF THE MINIMUM OUTPUT …

The problem of additivity of the Minimum Output Entropy is of fundamental importance in
Quantum Information Theory (QIT). It was solved by Matthew B. Hastings [" Superadditivity of …

Additivity violation of minimum output entropy, which shows non-classical properties in
quantum communication, had been proved in most cases for random quantum channels …

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 …

In this paper, we consider a sequence of selfadjoint matrices $ A_n $ having a limiting
spectral distribution as $ n\to\infty $, and we consider a sequence of full flags $\{0\le p_1 …

Let μ be a compactly supported probability measure on the positive half-line and let
μ^\boxtimest be the free multiplicative convolution semigroup. We show that the support of …