MPO-injectivity and Topologically Ordered PEPS

on YouTube ↗01h 02m

" summary

This talk explains how matrix product operator (MPO) injectivity is used to characterize topologically ordered projected entangled pair states (PEPS). It presents the MPO formalism for describing symmetry and topological order in PEPS, and discusses how MPO-injective PEPS encode anyonic excitations and ground-state degeneracy.

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" chapters (10)

1. 0:00MPO-injectivity and PEPS
2. 3:57Topological order in PEPS
3. 10:11PEPS properties and uses
4. 16:51MPO-injectivity and stability
5. 23:27Constructing PEPS with MPO-injectivity
6. 30:13Physical implications and examples
7. 38:35Experimental and computational approaches
8. 47:03Future perspectives and questions
9. 55:56Summary
10. 1:00:45Q&A

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