Within the last year, a number of new and unexpected applications of tensor networks have emerged in our group. This is

- slightly more conventionally, the simulation of strongly correlated two-dimensional thermal systems,

https://scirate.com/arxiv/1809.08258.

- They also serve as design principle to create mesoscopic architectures to realize topological phases of matter and computing schemes,

https://scirate.com/arxiv/1808.04529.

- Maybe the least expected, they can be used in recovering non-linear classical equations of motion from data, in a tomographic mindset,

https://arxiv.org/abs/1809.02448.

- They can be average-case hard to contract,

https://scirate.com/arxiv/1810.00738,

hence identifying a first type of problem that is provably average-case hard to quantum many-body physics.

- And they seem to provide new insights into an understanding of holographic models,

https://scirate.com/arxiv/1711.03109,
https://scirate.com/arxiv/1809.10156.