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SUMMARY:Classical Reductions and Converse Bounds in Quantum Hypothesis Tes
 ting - Dr Gonzalo Vazquez-Vilar\, Universidad Carlos III de Madrid
DTSTART:20260506T130000Z
DTEND:20260506T140000Z
UID:TALK246502@talks.cam.ac.uk
CONTACT:Dr Varun Jog
DESCRIPTION:Abstract:\nQuantum hypothesis testing is central to quantum in
 formation theory\, with applications in communication and error correction
 . In this talk\, we study the performance limits of quantum hypothesis tes
 ting in both non-asymptotic and asymptotic regimes. Using the Nussbaum–S
 zkoła mapping\, which reduces the quantum binary hypothesis testing probl
 em to a classical surrogate\, we derive non-asymptotic converse bounds tha
 t provide a unified treatment of small\, moderate\, and large deviations. 
 We also show that the M-ary hypothesis testing problem admits an exact bin
 ary formulation\, reducing its analysis to a single structured test. Overa
 ll\, this talk illustrates how classical methodologies can provide both in
 tuitive insight and powerful analytical tools for understanding quantum in
 formation processing tasks.
LOCATION:MR5\, CMS Pavilion A
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