Author Archives: Ion Nechita

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, self-avoiding plane curve, which … Continue reading

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Bipartite unitary operators and quantum Latin squares

Tristan Benoist and I have just arXived our paper On bipartite unitary matrices generating subalgebra--preserving 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

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Quantum Information semester in Paris, autumn 2017

I am one of the organizers of a 3-month semester on quantum information theory ad the Institut Henri Poincaré in Paris. Among other events, there will be a one-week workshop on Probabilistic techniques and Quantum Information Theory, Oct 23-27. Please … Continue reading

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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

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Linear Matrix Inequalities, Semidefinite Programming and Quantum Information Theory, Toulouse 18-22 January 2016

I am organizing a week-long 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, 9-11 September 2015

I am one of the organizers of the workshop Quantum Thermodynamics and Quantum Information Theory that will take place in Toulouse, from 9-11 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 anti-symmetric 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 high-school 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

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Random subspaces of a tensor product (I)

This is the first post in a series about a problem inside RMT QIT that I have been working on for some time now [cn2,bcn]. Since I find it to be very simple and interesting, I will present it in … Continue reading

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