188 citations · 1.3k across the 84 of their papers we have counts for
8 papers · 1 filter
Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels
Motohisa Fukuda, Ion Nechita
It is now well-known that, with high probability, the additivity of minimum output entropy does not hold for a pair of a random quantum channel and its complex conjugate. We invest…
Analytic aspects of the circulant Hadamard conjecture
Teodor Banica, Ion Nechita, Jean-Marc Schlenker
We investigate the problem of counting the real or complex Hadamard matrices which are circulant, by using analytic methods. Our main observation is the fact that for $|q_0|=...=|q…
Almost Hadamard matrices: the case of arbitrary exponents
Teodor Banica, Ion Nechita
In our previous work, we introduced the following relaxation of the Hadamard property: a square matrix is called "almost Hadamard" if is orthog…
Low entropy output states for products of random unitary channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
In this paper, we study the behaviour of the output of pure entangled states after being transformed by a product of conjugate random unitary channels. This study is motivated by t…
Realigning random states
Guillaume Aubrun, Ion Nechita
We study how the realignment criterion (also called computable cross-norm criterion) succeeds asymptotically in detecting whether random states are separable or entangled. We consi…
Almost Hadamard matrices: general theory and examples
Teodor Banica, Ion Nechita, Karol Zyczkowski
We develop a general theory of "almost Hadamard matrices". These are by definition the matrices having the property that is orthogonal, and is…
Random pure quantum states via unitary Brownian motion
Ion Nechita, Clément Pellegrini
We introduce a new family of probability distributions on the set of pure states of a finite dimensional quantum system. Without any a priori assumptions, the most natural measure…
Block-modified Wishart matrices and free Poisson laws
Teodor Banica, Ion Nechita
We study the random matrices of type , where is a complex Wishart matrix of parameters , and is a self-ad…