188 citations · 1.3k across the 84 of their papers we have counts for
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Sinkhorn algorithm for quantum permutation groups
Ion Nechita, Simon Schmidt, Moritz Weber
We introduce a Sinkhorn-type algorithm for producing quantum permutation matrices encoding symmetries of graphs. Our algorithm generates square matrices whose entries are orthogona…
A refinement of Reznick's Positivstellensatz with applications to quantum information theory
Alexander Müller-Hermes, Ion Nechita, David Reeb
In his solution of Hilbert's 17th problem Artin showed that any positive definite polynomial in several variables can be written as the quotient of two sums of squares. Later Rezni…
RTNI - A symbolic integrator for Haar-random tensor networks
Motohisa Fukuda, Robert Koenig, Ion Nechita
We provide a computer algebra package called Random Tensor Network Integrator (RTNI). It allows to compute averages of tensor networks containing multiple Haar-distributed random u…
Random positive operator valued measures
Teiko Heinosaari, Maria Anastasia Jivulescu, Ion Nechita
We introduce several notions of random positive operator valued measures (POVMs), and we prove that some of them are equivalent. We then study statistical properties of the effect…