Jakub Stavina: An introduction to quantum information geometry
| Dates: | 9 November 2026 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Speaker: | Jakub Stavina (Manchester) |
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Abstract:
In this talk, we present the framework of quantum information geometry. We first review key concepts in quantum statistical mechanics, focusing on the Hamiltonian, thermal states, and quantum relative entropy. We then introduce the exponential family as a prototypical quantum statistical manifold and apply Eguchi’s construction to derive its information-geometric structure and associated family of alpha-connections. We next examine the relations between Petz’s classification of monotone quantum metrics and Chentsov’s classical uniqueness theorem. Finally, we outline selected applications of the framework.
Speaker
Jakub Stavina (Manchester)
Travel and Contact Information
Find event
Frank Adams room 1
Alan Turing Building
Manchester
