Abstract:
Quantum hypothesis testing is central to quantum information theory, with applications in communication and error correction. In this talk, we study the performance limits of quantum hypothesis testing in both non-asymptotic and asymptotic regimes. Using the Nussbaum–Szkoła mapping, which reduces the quantum binary hypothesis testing problem to a classical surrogate, we derive non-asymptotic converse bounds that provide a unified treatment of small, moderate, and large deviations. We also show that the M-ary hypothesis testing problem admits an exact binary formulation, reducing its analysis to a single structured test. Overall, this talk illustrates how classical methodologies can provide both intuitive insight and powerful analytical tools for understanding quantum information processing tasks.
