74 citations · 374 across the 25 of their papers we have counts for
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Additivity violation of quantum channels via strong convergence to semi-circular and circular elements
Motohisa Fukuda, Takahiro Hasebe, Shinya Sato
Additivity violation of minimum output entropy, which shows non-classical properties in quantum communication, had been proved in most cases for random quantum channels defined by…
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…
On the convergence of output sets of quantum channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
We study the asymptotic behavior of the output states of sequences of quantum channels. Under a natural assumption, we show that the output set converges to a compact convex set, c…
Revisiting additivity violation of quantum channels
Motohisa Fukuda
We prove additivity violation of minimum output entropy of quantum channels by straightforward application of ε-net argument and Lévy's lemma. The additivity conjecture was disprov…
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…
Partial transpose of random quantum states: exact formulas and meanders
Motohisa Fukuda, Piotr Śniady
We investigate the asymptotic behavior of the empirical eigenvalues distribution of the partial transpose of a random quantum state. The limiting distribution was previously invest…