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SUMMARY:Transcendental tools in quantum information theory - Vjosa Blakaj\
 , TU Munich
DTSTART:20250123T141500Z
DTEND:20250123T151500Z
UID:TALK227350@talks.cam.ac.uk
CONTACT:Subhayan Roy Moulik
DESCRIPTION:In this talk\, we explore challenges in quantum information th
 eory using ideas from transcendental number theory and real algebraic geom
 etry\, focusing on distinguishing semialgebraic structures from transcende
 ntal ones. We examine when asymptotic settings\, infinite resources\, or t
 ranscendental methods are necessary for quantum information processing\, a
 nd when single-letter formulas\, finite resources\, or algebraic technique
 s suffice. We consider the (im)possibility of single-letter formulas by an
 alyzing the properties of various entropy-constrained sets. Furthermore\, 
 we investigate the geometry of the set of reduced states of translation-in
 variant infinite quantum spin chains\, exploring whether an exact algebrai
 c characterization of this set exists.
LOCATION:MR2
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