Classical Reductions and Converse Bounds in Quantum Hypothesis Testing
- 👤 Speaker: Dr Gonzalo Vazquez-Vilar, Universidad Carlos III de Madrid
- 📅 Date & Time: Wednesday 06 May 2026, 14:00 - 15:00
- 📍 Venue: MR5, CMS Pavilion A
Abstract
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.
Series This talk is part of the Information Theory Seminar series.
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Dr Gonzalo Vazquez-Vilar, Universidad Carlos III de Madrid
Wednesday 06 May 2026, 14:00-15:00