[5][6] His PhD on “Simulation of Constrained Fermions in Low-Dimensional Systems” was completed under Diethelm Wurtz and Thomas Maurice Rice, earning the ETH medal for outstanding doctoral thesis [7] Following earning his PhD he spent three years as a fellow of the Japanese Society for the Promotion of Sciences at the Institute for Solid State Physics.

Philipp Werner, Armin Comanac, Luca de’ Medici, Matthias Troyer, and Andrew J. Millis.

97, 076405 (2006) Emanuel Gull, Andrew J. Millis, Alexander I. Lichtenstein, Alexey N. Rubtsov, Matthias Troyer, and Philipp Werner.

Troels F. Rønnow, Zhihui Wang, Joshua Job, Sergio Boixo, Sergei V. Isakov, David Wecker, John M. Martinis, Daniel A. Lidar, Matthias Troyer.

“Defining and detecting quantum speedup.” Science 345, 420 (2014) Bettina Heim, Troels F. Rønnow, Sergei V. Isakov, and Matthias Troyer.

“Quantum versus Classical Annealing of Ising Spin Glasses.” Science 348, 215 (2015) A.A. Soluyanov, D. Gresch, Z. Wang, Q.S., Wu, M. Troyer, Xi Dai, and B.

“Solving the Quantum Many-Body Problem with Artificial Neural Networks.” Science 355, 580 (2017) Giacomo Torlai, Guglielmo Mazzola, Juan Carrasquilla, Matthias Troyer, Roger Melko & Giuseppe Carleo.

“Disentangling Hype from Practicality: On Realistically Achieving Quantum Advantage.” Communications of the ACM 66, 5, 82-87 (2023) In 2019, Troyer received the Hamburg Prize for Theoretical Physics.