188 citations · 1.3k across the 84 of their papers we have counts for
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Restrictions on the Schmidt rank of bipartite unitary operators beyond dimension two
Alexander Müller-Hermes, Ion Nechita
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Almost all quantum channels are equidistant
Ion Nechita, Zbigniew Puchała, Łukasz Pawela +1
In this work we analyze properties of generic quantum channels in the case of large system size. We use random matrix theory and free probability to show that the distance between…
On symmetric decompositions of positive operators
Maria Anastasia Jivulescu, Ion Nechita, Pasc Gavruta
Inspired by some problems in Quantum Information Theory, we present some results concerning decompositions of positive operators acting on finite dimensional Hilbert spaces. We foc…
Enumerating meandric systems with large number of loops
Motohisa Fukuda, Ion Nechita
We investigate meandric systems with a large number of loops using tools inspired by free probability. For any fixed integer , we express the generating function of meandric sys…
On bipartite unitary matrices generating subalgebra-preserving quantum operations
Tristan Benoist, Ion Nechita
We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix algebra, independently of…
Flat matrix models for quantum permutation groups
Teodor Banica, Ion Nechita
We study the matrix models which are flat, in the sense that the standard generators of are mapped to rank 1 projections. Our first result is a…