# Talks

**2022**

*The HHL quantum algorithm*– Quantum Information Theory reading group, Toulouse – January 2022

**2021**

*An introduction to GPTs*– GT Info Quantique LaBRI, Bordeaux – December 2021 [pdf]*Tensor norms and applications to quantum information theory*– QMATH seminar, November 2021 [pdf]*Completely Positive Matrices and Quantum Entanglement*– Department of Theoretical Physics Seminar, NIPNE Bucharest – September 2021 [pdf]*Completely Positive Matrices and Quantum Entanglement*– SIAM Conference on Applied Algebraic Geometry, Quantum Information and Algebraic Geometry mini-symposium – August 2021 [pdf]- Some applications of free spectrahedra to quant
*um information theory*– invited talk at ICMP 2021, Quantum Information session [pdf] *An introduction to tensors*– 3rd online Sakura meeting – July 2021 [pdf]*Quantum information theory and Reznick’s Positivstellensatz*– 8th ECM, Computational aspects of commutative and noncommutative positive polynomials minisymposium – June 2021 [pdf]*PPT*, after Collins, Yin, and Zhong – PHC Procope meeting on the PPT^{2}holds for independent states^{2}conjecture – June 2021 [pdf]*Enumerating meanders – three perspectives*– Conference on Operator Algebras and Related Topics, in memory of Vaughan Jones – June 2021 [pdf]*Asymptotic Freeness of Layerwise Jacobians Caused by Invariance of Multilayer Perceptron: The Haar Orthogonal Case*, after Collins and Hayase – Nerual Networks reading group, ANR STARS – May 2021*Free spectrahedra and compatibility of quantum measurements*– Operator Algebra seminar of the IMAR – April 2021 [pdf]*Presentation of WP6: Random quantum circuits*– Kick-off meeting of the ANR project ESQuisses – April 2021*Mathematical aspects of Google’s quantum supremacy experiment*– GT Info Quantique LaBRI, Bordeaux – January 2021 [pdf]*The PPT*– Quantum Lunch seminar, QMath, Copenhagen – January 2021 [pdf]^{2}conjecture holds for diagonal unitary covariant maps

**2020**

*The multiple facets of measurement compatibility in GPTs*– QIF seminar, Turku – November 2020 [pdf]*Multipartite entanglement detection via projective tensor norms*– SNU operator algebra seminar – October 2020 [pdf]*Multipartite entanglement detection via projective tensor norms*– CIRM workshop Entangling Non-commutative Functional Analysis and Geometry of Banach Spaces – October 2020 [pdf] [video]*Random quantum channels: spectral properties & more*– Probability theory seminar, Institut de Mathématiques de Toulouse – October 2020 [pdf]*Asymptotic properties of random quantum states and channels*– Random Matrix Theory seminar, University of Melbourne – May 2020 [pdf]*Compatibility of quantum measurements and inclusion of free spectrahedra*– Quantum Seminar, ENS Lyon – May 2020 [pdf]*Approximating ground states of gapped local Hamiltonians by Matrix Product States*– GdT Quantum spin systems IMT/LPT Toulouse – April 2020 [pdf]*Lieb-Robinson bounds*– GdT Quantum spin systems IMT/LPT Toulouse – February 2020 [pdf]*On the joint distribution of the marginals of multipartite Wishart matrices*– Probability Theory seminar, ENS Lyon – January 2020*On the (in-)compatibility of generic quantum measurements*– 4th Bangkok Workshop on Discrete Geometry Dynamics and Statistics – January 2020 [pdf]

**2019**

*Compatibility of quantum measurements*– Meeting in Mathematical Statistics, CIRM, Luminy – December 2019 [pdf]*Quantum information theory and Reznick’s Positivstellensatz*– Journées Informatique Quantique 2019, Besançon – November 2019 [pdf]*Compatibility of quantum measurements and inclusion of free spectrahedra*– Noncommutative Analysis, Computational Complexity, and Quantum Information workshop, CMSA Harvard – October 2019 [pdf] [video]*Spiked random tensors – the lower bound*– Random Tensors reading group, Institut de Mathématiques de Toulouse – July 2019 [pdf]*Random quantum states and channels*– Journées IOPS 2019, Le Teich – June 2019 [pdf-states | pdf-channels]*Quantum de Finetti theorems and Reznick’s Positivstellensatz*– Interactions between Noncommutative Analysis and Quantum Information theory workshop, Harbin, China – June 2019 [pdf]*Quantum de Finetti theorems and Reznick’s Positivstellensatz*– Mathematical Aspects in Current Quantum Information Theory 2019 workshop MAQIT 2019, Seoul, Korea – May 2019 [pdf]*Quantum de Finetti theorems and Reznick’s Positivstellensatz*– Second workshop of the program on Operator Algebras, Groups and Applications to Quantum Information, ICMAT, Madrid – May 2019 [pdf]*Applications of random matrices in quantum information theory*– School II of the program Operator Algebras, Groups and Applications to Quantum Information, ICMAT, Madrid – May 2019 [pdf] [ipynb]*Partial transposition of random matrices: old and new*– CIRM workshop Random Matrices and Random Graphs, Luminy – April 2019*Norms of random tensors*– TUM – M5 group retreat on Randomized Linear Algebra, Reitenhaslach, Germany – March 2019*A mathematical introduction to Quantum Information Theory*– LabRI, Bordeaux – February 2019 [pdf]*Introduction aux tenseurs*– Random Tensors reading group, Institut de Mathématiques de Toulouse – January 2019

**2018**

*On the number of components of random meandric systems*– joint talk given with Alexandru Nica at the Oberwolfach workshop Free Probability Theory – December 2018 [pdf]*Une introduction à la théorie de l’information quantique*– Colloquium de l’Institut de Mathématiques de Bordeaux – November 2018 [pdf]*Enumerating meanders: three perspectives*– Physics and mathematics of discrete geometries, Nagoya – November 2018*Weingarten calculus and applications to Quantum Information Theory*– Annual meeting of the SFB TRR 195 Tübingen – September 2018 [pdf]*The joint distribution of the marginals of multipartite Wishart random matrices*– Probability theory seminar, Institut de Mathématiques de Toulouse – September 2018*Quantum de Finetti theorems and Reznick’s Positivstellensatz*– Workshop on Interactions between Operator Space Theory and Quantum Probability

with Applications to Quantum Information, Oberwolfach – May 2018 [pdf]*Entanglement of generic quantum states*– TCQP Seminar, Turku – March 2018 [pdf]*Nonlocal games and quantum permutation groups*– QIT reading group, Munich – January 2018

**2017**

*Positivity, Hilbert’s 17th problem, and applications to quantum entanglement*– UPT Seminar, Timisoara – August 2017*On some applications of Random Matrices in Quantum Information Theory*– QUATR-17, Skoltech Moscow – June 2017*On some uses of random matrices in quantum information theory*– Analysis und Zufall seminar, TU Munich – June 2017*Block-modified random matrices and applications to entanglement theory*– MEGA seminar on random matrices and random graphs, Paris – May 2017 [pdf]*Free compression norms and applications to quantum information theory*– Mathematical physics seminar, Bristol – March 2017 [pdf]

**2016**

*Quantum channels, groups, and non-commutative iterative scaling algorithms*– CIMI workshop Complex analysis and noncommutative functions, Toulouse – October 2016*Some analytical aspects of Hadamard matrices*– Quantum Information Theory and Mathematical Physics, Budapest – September 2016 [pdf]*Bipartite unitary operators inducing special classes of quantum channels*– CTPGA Workshop Open Quantum Systems, Grenoble – May 2016 [pdf]*Bipartite unitary operators inducing unitarily invariant classes of quantum channels*– RCQI seminar, Bratislava – April 2016*Sur l’intrication qubit-qudit*– Quantum information theory seminar, University Lyon 1 – March 2016*Random quantum channels and additivity violations*– Random matrices seminar, IST Austria – March 2016 [pdf]*Using random matrices in quantum information theory*– 3 lectures at Seoul National University – February 2016 [pdf]*Block-modified random matrices, operator-valued free probability, and applications to entanglement theory*– Mathematical Aspects in Current Quantum Information Theory, Daejeon – February 2016 [pdf]

**2015**

*Block-modified random matrices, operator-valued free probability, and*– Journées OSQPI, Paris – October 2015 [pdf]

applications to entanglement theory*Positive and completely positive maps via free additive powers of probability measures*– MPQ Quantum Coffee, Munich – July 2015 [pdf]*Random quantum channels and additivity violations*– invited lecture, Conference on Quantum Groups and Quantum Information Theory, Herstmonceux – July 2015 [pdf]*Bipartite unitary operators inducing unitarily invariant classes of quantum channels*– Quantum Markov Semigroups: Decoherence and empirical estimates, Genova – July 2015 [pdf]*On random subspaces of matrices and free compression norms*– Seminar, TU Graz – May 2015

**2014**

*Quantum channels with polytopic images*– ANR StoQ Meeting, Lyon – November 2014 [pdf]*Quantum channels with polytopic images*– MPQ Quantum Coffee, Munich – November 2014*On qubit-qudit entanglement*– TUM group retreat, Walting – September 2014*Positive and completely positive maps via free additive powers of probability measures*– 16th workshop on non-commutative harmonic analysis, Bedlewo – July 2014 [pdf]*Positive and completely positive maps via free additive powers of probability measures*– Random matrix theory: foundations and applications, Cracow – July 2014 [pdf]*Random matrices and their use in Quantum Information Theory*– 14th Annual Canadian Summer School on Quantum Information, Guelph – June 2014*Positive and completely positive maps via free additive powers of probability measures*– Operator Algebra Seminar, Tokyo – June 2014*Positive and completely positive maps via free additive powers of probability measures*– Operator Algebra Seminar, Kyoto – May 2014*Entanglement of generic quantum states*– IRSAMC Seminar, Toulouse – May 2014 [pdf]

**2013**

*Optimization over random subspaces of matrices and free compression norms*– Free Probability seminar, Saarbrücken – October 2013*Random matrix theory with a view towards free probability, and connections to quantum information*– New Mathematical Directions for Quantum Information workshop, Newton Institute, Cambridge – September 2013 [pdf, video 1, video 2]*Invitation to (almost) Hadamard matrices*– TUM group retreat, Zell am See – July 2013*Entanglement of random subspaces*– Advances on Open Quantum Systems summer school, Autrans – July 2013 [pdf]*On the additivity of the minimum entropy of certain subspaces of tensor products*– Workshop on Operator Spaces, Harmonic Analysis and Quantum Probability, Madrid – June 2013*Intrication pour les états bipartis mélangés*– Cogit meeting, Rouen – June 2013*Random Subspaces of a Tensor Product and the Additivity Problem*– UPT seminar, Timisaora – April 2013 [pdf]*Positive and completely positive maps via free additive powers of probability measures*– EMS-DMF joint mathematical weekend, Aarhus – April 2013 [pdf]*Positive and completely positive maps via free additive powers of probability measures*– Colloquium talk, St. John’s – January 2013 [pdf]

**2012**

*Sur les valeurs singulières d’un ensemble de matrices rectangulaires*– Séminaire d’Analyse, Lyon – October 2012*Positive and completely positive maps via free additive powers of probability measures*– Operator Spaces and Quantum Information Theory workshop, Lyon – October 2012*Random subspaces of a tensor product and the additivity problem*– DMV Annual Meeting 2012, Saarland University – September 2012 [pdf]*Random subspaces of a tensor product and the additivity problem*– TUM seminar, München – September 2012 [pdf]*Random subspaces of a tensor product and the additivity problem*– XIème Colloque Franco-Roumain de Mathématiques Appliquées, Bucuresti – August 2012 [pdf]*Random subspaces of a tensor product and the additivity problem*– Operator Spaces, Quantum Probability and Applications Workshop, Wuhan – June 2012 [pdf]*Random Subspaces of a Tensor Product and the Additivity Problem*– Probabilistic Methods in Quantum Mechanics Workshop, Lyon – May 2012 [pdf]*Block-modified Wishart matrices and applications to entanglement theory*– Random matrices and integrable systems winter school, Les Houches – March 2012*Operations algebriques sur des matrices de Wishart par blocs et applications à la mecanique quantique*– Seminaire Matrices Aleatoires – February 2012*Statistical properties of random quantum channels*– Invited lecture, CIRM workshop on the Geometry of Quantum Entanglement – January 2012

**2011**

*Block-modified Wishart matrices and applications to entanglement theory*– GDR IQFA Workshop, Paris – November 2011 [pdf]*Block-modified Wishart matrices and applications to entanglement theory*– Joint EMS-RMSE Mathematical Weekend, Bilbao – October 2011 [pdf]*Block-modified Wishart matrices and applications to entanglement theory*– 14th Non-commutative harmonic analysis Workshop, Bedlewo – September 2011 [pdf]*Positivity in Quantum Information Theory*– Positivity Workshop, Fields Institute, Toronto – August 2011 [pdf]*Asymptotic eigenvalues of block-transposed Wishart matrices*– Analysis seminar, University of Ottawa – June 2011*Additivité de la capacité des canaux quantiques, ou comment l’intrication peut aider la transmission de l’information*– Annual meeting between the Mathematics and Physics departments at the Univeristy of Toulouse – April 2011 [pdf]*Random subspaces of a tensor product and the additivity problem*– Quantum Information Theory Seminar, Madrid – March 2011*Valeurs et vecteurs propres associés aux sous-espaces aléatoires d’un produit tensoriel*– Séminaire de probabilités, Toulouse – February 2011*Propriétés statistiques des états quantiques aléatoires*– Séminaire de probabilités, Cergy – February 2011 [pdf]

**2010**

*Random quantum states*– Open Quantum Systems conference, Grenoble – November 2010 [pdf]*Graphical calculus for random quantum channels*– Mittag-Leffler program on QIT, Stockholm – November 2010 [pdf]*Entanglement of random subspaces*– Workshop on Groups and Group Actions in Operator Theory, Ottawa – July 2010*Random graph states and area laws*– Random Matrix Techniques in Quantum Information Theory workshop, Waterloo – July 2010 [pdf]*Random graph states, maximum flow on networks and the Fuss-Catalan ensembles of density matrices*– IQC Colloquium, Waterloo – March 2010 [pdf]*Random matrix techniques in quantum information theory*– Analysis seminar, Saskatoon – March 2010*Free probability techniques in quantum information theory*– QIP 2010 Rump Session, Zurich – January 2010 [pdf]*Applications des probabilités libres à la théorie quantique de l’information*– Séminaire des matrices aléatoires, Toulouse – January 2010*Free probability techniques in quantum information theory*– Analysis seminar, Waterloo University – January 2010

**2009**

*Random matrix models in quantum information theory*– invited talk at the Canadian Mathematical Society Winter Meeting, Windsor – December 2009*Products of random quantum channels*– McGill Cryptography and Quantum Information seminar, Montréal – September 2009 [pdf]*Random matrix models in quantum information theory*– Free probability seminar, Kingston – September 2009*Random quantum channels: graphical calculus*– Fields Workshop on Operator Structures in Quantum Information, Toronto – July 2009 [pdf]*Majorization, entanglement catalysis, stochastic domination and l_p norms*– Fields Workshop on Operator Structures in Quantum Information, Toronto – July 2009 [pdf]*Canaux quantiques aléatoires et le problème d’additivité*– Random Matrix Seminar, Institut de Mathématiques de Toulouse – June 2009 [pdf]*A graphical calculus for random quantum channels in quantum information theory*– atelier Décohérence et information quantique, Grenoble – June 2009*Random repeated quantum interactions and random invariant states*– Journées Systèmes Ouverts, Grenoble – March 2009 [pdf]*A new diagrammatic approach to matrix integrals with applications to quantum information theory*– Student talk at the winter school Geneva-Lyon on mathematical physics, Les Diablerets – February 2009

**2006-2008**

*A permutation model for free random variables*– Special talk at the mini-workshop “Introduction to infinite-dimensional topological groups”, Ottawa – September 2008 [pdf]*Transformations de l’intrication quantique*– Colloque “Aspects théoriques de l’information quantique”, Aspet – June 2007 (text in french) [pdf]- Transformations de l’intrication quantique – Séminaire du Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, Cergy – May 2007 (text in french) [pdf]
- Transformations de l’intrication quantique – Journées Informatique Quantique, Grenoble – May 2007 (text in french) [pdf]
- Random density matrices – Open Quantum Systems Days, Marseille – November 2006 [pdf]
- Matrices densités aléatoires – Séminaire de physique mathamatique, Institut Camille Jordan, Lyon – October 2006 [pdf]

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