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Seminário de Teoria Quântica do Campo Topológica   RSS

09/10/2019, 11:30 — 12:15 — Sala P3.10, Pavilhão de Matemática
Roger Picken, Departamento de Matemática, Instituto Superior Técnico

Quantum theory via (higher) groupoids and quantum measures

The idea of this informal seminar is to present, in cherry-picking fashion, some fascinating work by Ciaglia, Ibort and Marmo, who formulate the Schwinger approach to quantum theory using the contemporary language of groupoids and $2$-groupoids. By bringing in the notion of quantum measures, due to Sorkin, they achieve an elegant description of examples like the qubit or the two-slit experiment.

The aim is for the seminar to be comprehensible also to students with some awareness of quantum theory, and hopefully will be followed up by future seminars around quantum maths topics such as topological quantum computation and entanglement.

Main references

Ciaglia, Ibort, Marmo: https://arxiv.org/abs/1905.12274, https://arxiv.org/abs/1907.03883, https://arxiv.org/abs/1909.07265


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Organizadores correntes: José MourãoRoger PickenMarko Stošić

Mathseminars

Projectos FCT PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.

CAMGSD FCT