SciPost Submission Page
Les Houches Lecture Notes on Tensor Networks
by Bram Vancraeynest-De Cuiper, Weronika Wiesiolek, Frank Verstraete
Submission summary
| Authors (as registered SciPost users): | Frank Verstraete |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2512.24390v2 (pdf) |
| Date submitted: | Jan. 28, 2026, 1:17 p.m. |
| Submitted by: | Frank Verstraete |
| Submitted to: | SciPost Physics Lecture Notes |
| for consideration in Collection: |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entanglement structure and its associated (generalised) symmetries. In essence, tensor networks provide a compressed, holographic description of the complicated vacuum fluctuations in strongly correlated systems, and as such they break down the infamous many-body exponential wall. These lecture notes provide a concise overview of the most important conceptual, computational and mathematical aspects of this theory.
Current status:
In refereeing