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Author Archives: Ion Nechita
The joint distribution of marginals of multipartite random quantum states
Together with Stephane Dartois and Luca Lionni, we have a new preprint on the arXiv, On the joint distribution of the marginals of multipartite random quantum states. The paper is about the joint distribution of the set of (twisted) marginals … Continue reading
Counting meanders
We have, with Moto Fukuda, a new paper on the arXiv, Enumerating meandric systems with large number of components, which deals with the enumeration of meandric systems. In combinatorics, a meander on points is a closed, selfavoiding plane curve, which … Continue reading
Bipartite unitary operators and quantum Latin squares
Tristan Benoist and I have just arXived our paper On bipartite unitary matrices generating subalgebrapreserving quantum operations. We characterize the set of bipartite unitary operators which give quantum operations preserving some subalgebra of the state space, independently of the state … Continue reading
Quantum Information semester in Paris, autumn 2017
I am one of the organizers of a 3month semester on quantum information theory ad the Institut Henri Poincaré in Paris. Among other events, there will be a oneweek workshop on Probabilistic techniques and Quantum Information Theory, Oct 2327. Please … Continue reading
Seoul lectures on some applications of random matrices to quantum information theory
Last week, at the invitation of Hun Hee Lee, I gave a series of three lectures on some applications of random matrix theory to problems in quantum information theory. The notes are available here. After discussing the Marchenko–Pastur theorem, I … Continue reading
Linear Matrix Inequalities, Semidefinite Programming and Quantum Information Theory, Toulouse 1822 January 2016
I am organizing a weeklong workshop in Toulouse, on topics of optimization problems in quantum information theory. Besides the usual research talks, there will be lectures by Aram Harrow, Jean Bernard Lasserre and Mihai Putinar on the topics of the … Continue reading
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Quantum Thermodynamics and Quantum Information Theory, Toulouse, 911 September 2015
I am one of the organizers of the workshop Quantum Thermodynamics and Quantum Information Theory that will take place in Toulouse, from 911 September 2015. Participation is free and open, so email one of the organizers if you are interested … Continue reading
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Random subspaces of a tensor product (II)
In this short post, I would like to discuss a special case of the construction introduced in the first part of the series, that is compute the set , where is the antisymmetric subspace of the tensor product. This example … Continue reading
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1/9801
A couple of days ago, I remembered the following fun fact from my highschool days in Romania: First, note that I am using the European notation for periodic decimal expansions (or repeating decimals). What you get is a periodic expansion, … Continue reading
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Masters research project
Together with Adrian Basarab and Denis Kouamé, we are looking for a masters student who will work on compressive sensing, random matrices and applications to medical imaging. We are looking for a candidate having a solid background in mathematics, with … Continue reading