188 citations · 1.3k across the 84 of their papers we have counts for
4 papers · 1 filter
Additivity rates and PPT property for random quantum channels
Motohisa Fukuda, Ion Nechita
Inspired by Montanaro's work, we introduce the concept of additivity rates of a quantum channel , which give the first order (linear) term of the minimum output -Rényi entrop…
Quantum channels with polytopic images and image additivity
Motohisa Fukuda, Ion Nechita, Michael M. Wolf
We study quantum channels with respect to their image, i.e., the image of the set of density operators under the action of the channel. We first characterize the set of quantum cha…
Positive reduction from spectra
Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita +1
We study the problem of whether all bipartite quantum states having a prescribed spectrum remain positive under the reduction map applied to one subsystem. We provide necessary and…
On the reduction criterion for random quantum states
Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita
In this paper we study the reduction criterion for detecting entanglement of large dimensional bipartite quantum systems. We first obtain an explicit formula for the moments of a r…