Eloy Moreno-Nadales

Research Interests

Mathematical Physics, Quantum Mechanics, Quantum Information, Quantum Trajectories, and their interactions with Probability Theory, Noise and Disorder, Random Matrix Theory, Concentration Inequalities

Part of my research is inspired by the Theory of Ergodic Quantum Processes from R. Movassagh and J. Schenker; dealing with the random matrix aspects of the density matrices
Still inside the broad field of disordered open quantum systems, two of the articles below analyze the effect that randomness has on quantum trajectories and on repeated measurements in general noisy environments

(Work with my advisor and part of my thesis)
Random Matrix Properties and Asymptotic Freeness in IID Haar Quantum Processes
E. Moreno-Nadales and J. Schenker (In Progress)

Parent Hamiltonians of Ergodic Matrix Product States
O. Ekblad, E. Moreno-Nadales, E. Roon, and J. Schenker (July 2026) (arXiv:2607.01446)
Submitted

Ergodic Theorems for Quantum Trajectories under Disordered Generalized Measurements
O. Ekblad, E. Moreno-Nadales, and L. Pathirana (January 2025) (arXiv:2501.18014)
Published - Journal of Physics A (May 2026)
Asymptotic Purification of Quantum Trajectories under Random Generalized Measurements
O. Ekblad, E. Moreno-Nadales, L. Pathirana, and J. Schenker (June 2024) (arXiv:2404.03168)
Published - Annales Henri Poincaré (November 2025)

(Upcoming) Marchenko-Pastur Distribution and Freeness in IID Haar Quantum Channels
(October 2026) AMS 2026 Fall Eastern Sectional
George Washington University, Washington DC
Asymptotic Gaussianity and Freeness for the Joint Distribution of a Sequence of Random Matrices obtained from IID Haar Quantum Channels
(June 2026) Great Lakes Mathematical Physics Meeting
University of Dayton, Ohio
Random Indirect Measurements and Quantum Trajectories: What is Effect?
(May 2026) Analysis Day 2026
University of Michigan, Dearborn
Asymptotic Gaussianity and Freeness for the Joint Distribution of a Sequence of Random Matrices obtained from IID Haar Quantum Channels
(April 2026) Free Probability, Random Matrices, and Applications
University of Houston, Texas
Ergodic Theorems for Quantum Trajectories under Disordered Generalized Measurements
(April 2025) AMS 2025 Spring Eastern Sectional
Connecticut Convention Center, Hartford
Quantum Trajectories in Random Environments
(Sept 2024) AMS 2024 Fall Central Sectional
University of Texas, San Antonio
Asymptotic Purification of Quantum Trajectories Under Random Generalized Measurements
(June 2024) Great Lakes Mathematical Physics Meeting
Michigan State University
History of Mathematics: The Bernoulli Family
(March 2023) PGO Seminar - Department of Physics and Astronomy
(December 2022) GAUSS Seminar - Department of Mathematics
Michigan State University

(February 2025) Workshop - Free Entropy Theory and Random Matrices
Institute for Pure and Applied Mathematics (IPAM)
University of California, Los Angeles
(Sept 2024) Early Career Workshop in Mathematical Physics
Texas A&M University, College Station
(August 2023) Summer School - Current Topics in Mathematical Physics
University of Warsaw (Poland)
(June 2022) Great Lakes Mathematical Physics Meeting
Michigan State University