## PresentationS

###### invited talks

March 2023 - Celebrating the Choi-JamioÅ‚kowski Isomorphism, online.

Title: A generic quantum Wielandt's inequality

November 2022 - Quantitative Linear Algebra meets Quantum Information Theory II, Chicago (United States).

Title: Continuity of quantum entropic quantities via almost convexity

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October 2022 - Workshop "Mathematics of Quantum Information and Many-Body Systems", Cambridge (United Kindgom).

Title: Continuity of quantum entropic quantities via almost convexity

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September 2022 - Workshop "Optimal Transport on Quantum Structures", Budapest (Hungary).

Title: Modified Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

July 2022 - Munich Conference in QST 2022, Bavarian Alps (Germany).

Title: When does a quantum dissipative evolution mix rapidly?

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June 2022 - Mathematics Colloquium at University of Tübingen, Tübingen (Germany).

Title: When does a quantum many-body system mix rapidly?

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June 2022 - Quantum Information Theory and Mathematical Physics 2022, Budapest (Hungary).

Title: Entropy decay for Davies semigroups of a one dimensional quantum lattice

March 2022 - DPG Spring Meeting of the Matter and Cosmos Section, Heidelberg (Germany), online.

Title: Rapid thermalization of spin chain commuting Hamiltonians

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October 2021 - Quantum Trajectories Fall School, Université Paul Sabatier, Toulouse (France).

Title: Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

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February 2021 - Entropy Inequalities, Quantum Information and Quantum Physics, Institute for Pure & Applied Mathematics, University of California Los Angeles, Los Angeles (United States), online.

Title: The modified logarithmic Sobolev inequality for quantum spin systems via approximate tensorization

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January 2020 - V Congreso de Jóvenes Investigadores de la RSME, Castelló (Spain).

Title: On the data processing inequality for the relative entropy between two quantum states

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October 2019 - Workshop in Quantum Innovators in Computer Science and Mathematics,

Institute for Quantum Computing of the University of Waterloo, Waterloo (Canada).

Title: On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

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May 2019 - Workshop 2 of the Thematic Research Program: "Operator Algebras, Groups and Applications to Quantum Information", Instituto de Ciencias Matemáticas, Madrid (Spain).

Title: Stability for the data processing inequality of the Belavkin-Staszewski relative entropy

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July 2018 - Beyond I.I.D. in information theory 2018, Isaac Newton Institute for Mathematical Sciences of the University of Cambridge, Cambridge (United Kingdom).

Title: Quantum conditional relative entropy and quasi-factorization of the relative entropy

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June 2018 - Workshop on Quantum Functional Inequalities, Institut de Mathématiques of the Université Paul Sabatier, Toulouse (France).

Title: Quasi-factorization of the relative entropy

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March 2014 - X Meeting of the Functional Analysis Network, Sevilla (Spain).

Title: Monge-Kantorovich problem

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April 2013 - IX Meeting of the Functional Analysis Network, Zafra (Spain).

Title: Applications of the Cantor set

###### contributed talks

September 2022 - Beyond IID in Information Theory 10, Shenzhen (China), online, given by coauthor.

Title: Continuity of quantum entropic quantities via almost convexity

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July 2022 - XVII Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2022), University of Illinois Urbana-Champaign, Riga (United States), given by coauthor.

Title: Rapid thermalization of 1D commuting Hamiltonians

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June 2022 - Quantum Information Theory and Mathematical Physics 2022, Budapest (Hungary).

Title: Entropy decay for Davies semigroups of a one dimensional quantum lattice

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May 2022 - ICE-7 Quantum Information in Spain, Granada (Spain).

Title: Exponential decay of mutual information for Gibbs states of local Hamiltonians

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March 2022 - 25th Annual Conference on Quantum Information Processing, Caltech, Pasadena (United States).

Title: Exponential decay of mutual information for Gibbs states of local Hamiltonians

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September 2021 - Beyond IID in Information Theory 9, Taipei (Taiwan), online, given by coauthor.

Title: Exponential decay of mutual information for Gibbs states of local Hamiltonians

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September 2021 - Beyond IID in Information Theory 9, Taipei (Taiwan), online.

Title: Entropy decay for Davies semigroups of a one dimensional quantum lattice

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August 2021 - International Workshop on Operator Theory and its Applications (IWOTA), Chapman University, California (United States), online.

Title: Functional inequalities in non-commutative Lp spaces for quantum many-body systems

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August 2021 - International Congress on Mathematical Physics (ICMP), Geneva (Switzerland).

Title: The modified logarithmic Sobolev inequality for quantum spin systems

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July 2021 - Young Researchers Symposium (YRS), Geneva (Switzerland).

Title: Approximate tensorization of the relative entropy for noncommuting conditional expectations

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July 2021 - IEEE International Symposium on Information Theory, Melbourne (Australia), online.

Title: Weak Quasi-Factorization for the Belavkin-Staszewski Relative Entropy

Slides (short), slides (long), video

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January 2021 - 24th Annual Conference on Quantum Information Processing (QIP 2021),

Technische Universität München and Munich Center for Quantum Science and Technology,

Munich (Germany), online, given by coauthor.

Title: On the entropic convergence of quantum Gibbs samplers

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December 2020 - 20th Asian Quantum Information Science Conference (AQIS 2020), University of Technology Sydney, Sydney (Australia), online.

Title: The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions

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November 2020 - Beyond I.I.D. in information theory 2020, Stanford University, Stanford (United States), online.

Title: A strengthened data processing inequality for the Belavkin-Staszewski relative entropy

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November 2020 - Beyond I.I.D. in information theory 2020, Stanford University, Stanford (United States), online, given by coauthor.

Title: The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions

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June 2020 - XV Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2020), University of Latvia, Riga (Latvia), online.

Title: On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

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November 2018 - Q-Turn: Changing paradigms in quantum science, Universidade Federal de Santa Catarina, Florianópolis (Brazil).

Title: Quantum conditional relative entropy and quasi-factorization of the relative entropy

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September 2018 - 18th Asian Quantum Information Science Conference (AQIS 2018), University of Nagoya, Nagoya (Japan).

Title: Quasi-factorization of the relative entropy

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July 2018 - XIII Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2018), Centre for Quantum Software and Information of the University of Technology Sydney, Sydney (Australia).

Title: Quantum conditional relative entropy and quasi-factorization of the relative entropy

###### seminars

November 2022 - QPequi Seminar, Federal University of Goiás, Goiânia (Brasil), online.

Title: Rapid thermalization of spin chain commuting Hamiltonians

January 2022 - Perimeter Institute Quantum Information Seminar, Perimeter Institute, Waterloo (Canada), online.

Title: Entropy decay for Davies semigroups of a one dimensional quantum lattice

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November 2021 - UNED Applied Mathematics Seminar, Universidad Nacional de Educación a Distancia, Madrid (Spain).

Title: Quantum Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

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March 2021 - Stochastic Analysis Group Seminar, Institute of Science and Technology, Klosterneuburg (Austria), online.

Title: Approximate tensorization for the relative entropy and exponential decay for the mutual information

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June 2020 - UCL Quantum Information Theory Seminar, University College London, London (United Kingdom), online.

Title: Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

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December 2019 - Junior Seminar ICMAT-UAM, Instituto de Ciencias Matemáticas, Madrid (Spain).

Title: Computación cuántica. En busca de la "supremacía cuántica"

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December 2019 - Departamento de Electromagnetismo y Física de la Materia Seminar, Universidad de Granada, Granada (Spain).

Title: Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

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October 2019 - Perimeter Institute Quantum Discussions, Perimeter Institute, Waterloo (Canada).

Title: Logarithmic Sobolev Inequalities for Quantum Many-Body Systems

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April 2019 - IQI Seminar, California Institute of Technology (Caltech), Pasadena (United States).

Title: Entropy decays for 1D quantum Gibbs samplers

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March 2019 - QuEDiver Seminar, Freie Universität Berlin, Berlin (Germany).

Title: Entropy decays for 1D quantum Gibbs samplers

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January 2019 - Quantum Information Theory Seminar, Technische Universität München, Munich (Germany).

Title: Entropy decays for 1D quantum Gibbs samplers

January 2019 - Quantum Information Seminar, Universidad Complutense de Madrid, Madrid (Spain).

Title: Entropy decays for 1D quantum Gibbs samplers

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August 2018 - Institute of Information Science Seminar, Academia Sinica, Taipei (Taiwan).

Title: Quasi-factorization of the quantum relative entropy

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May 2018 - QLunch Seminar, University of Copenhagen, Copenhagen (Denmark).

Title: Quasi-factorization of the quantum relative entropy

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April 2018 - CQIF Seminar, University of Cambridge, Cambridge (United Kingdom).

Title: Quasi-factorization of the quantum relative entropy

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April 2018 - Quantum Information Seminar, Universidad Complutense de Madrid, Madrid (Spain).

Title: Quantum conditional relative entropy

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November 2017 - Young researcher seminar during the thematic Trimester "Analysis in Quantum Information Theory", Institut Henri Poincaré, Paris (France).

Title: Superadditivity of Quantum Relative Entropy for General States

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April 2017 - Quantum Information Seminar, Universidad Complutense de Madrid, Madrid (Spain).

Title: Quasi-factorization of the quantum relative entropy

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March 2016 - Quantum Information Seminar, Universidad Complutense de Madrid, Madrid (Spain).

Title: Entropy inequalities for unbounded spin systems

February 2016 - Junior Seminar ICMAT-UAM, Universidad Autónoma de Madrid, Madrid (Spain).

Title: Bishop-Phelps problem

###### posters

November 2020 - Q-Turn: Changing paradigms in quantum science, online.

Title: Approximate tensorization of the relative entropy for noncommuting conditional expectations

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November 2020 - Quantum Alliance Community Event, Quantum Alliance, Germany, online.

Title: Approximate tensorization of the relative entropy for noncommuting conditional expectations

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January 2018 - 21th Annual Conference on Quantum Information Processing (QIP 2018), Delft University of Technology, Delft (The Netherlands).

Title: Superadditivity of Quantum Relative Entropy for General States

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December 2017 - Conference on "Quantum Information Theory", celebrated during the thematic trimestre "Analysis in Quantum information Theory", Institut Henri Poincaré, Paris (France).

Title: Superadditivity of Quantum Relative Entropy for General States

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June 2017 - XII Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2017), {Université Pierre et Marie Curie, Paris (France).

Title: Superadditivity of Quantum Relative Entropy for General States

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September 2016 - X Workshop of Young Researchers in Mathematics, Universidad Complutense de Madrid, Madrid (Spain).

Title: Quasi-factorization of the quantum relative entropy of two quantum states

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