Transcendental tools in quantum information theory

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• Vjosa Blakaj, TU Munich
• Thursday 23 January 2025, 14:15-15:15
• MR2.

If you have a question about this talk, please contact Subhayan Roy Moulik.

In this talk, we explore challenges in quantum information theory using ideas from transcendental number theory and real algebraic geometry, focusing on distinguishing semialgebraic structures from transcendental ones. We examine when asymptotic settings, infinite resources, or transcendental methods are necessary for quantum information processing, and when single-letter formulas, finite resources, or algebraic techniques suffice. We consider the (im)possibility of single-letter formulas by analyzing the properties of various entropy-constrained sets. Furthermore, we investigate the geometry of the set of reduced states of translation-invariant infinite quantum spin chains, exploring whether an exact algebraic characterization of this set exists.

This talk is part of the CQIF Seminar series.

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