Würzburg 2018 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantum Field Theory II

MP 7.2: Talk

Wednesday, March 21, 2018, 17:15–17:35, Z6 - SR 1.012

Fermionic tensor networks: A functorial approach — •Pascal Fries — Fakultät für Physik und Astronomie, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

I give an overview on how fermionic tensor networks can be understood in terms of symmetric monoidal categories. In this setting, the meaning of second quantization as a functor of diagrams is made precise.

The results can be used to derive quantum circuits from arbitrary spectral decompositions and thus provide a systematic Ansatz for obtaining new analytic classes of tensor networks.