Quantum Hypothesis Testing

Ludovico Lami is an Assistant Professor at the Scuola Normale Superiore, Pisa, Italy. He received his PhD from UAB (Barcelona, Spain) under the supervision of Andreas Winter. From 2022 to 2024, he was an Assistant Professor at the University of Amsterdam and QuSoft. His research, for which he received an ERC Starting Grant, focuses on quantum Shannon theory and entanglement theory.

Ludovico Lami will take you on a tour of quantum hypothesis testing, from the basic ideas to how quantities like the relative entropy and the Rényi divergences naturally emerge through the quantum Stein’s lemma and the quantum Chernoff bound. In the second part, he will move on to more advanced topics such as composite hypothesis testing. Along the way, the tutorial will highlight how hypothesis testing underpins many central tasks in quantum information. The tutorial assumes only basic familiarity with density matrices and quantum measurements.