Non UBC
DSpace
Albert Werner
2019-10-24T08:41:07Z
2019-04-26T10:18
Tensor network states provide successful descriptions of strongly correlated quantum systems with applications ranging from condensed matter physics to cosmology. Any family of tensor network states possesses an underlying entanglement structure given by a graph of maximally entangled states along the edges that identify the indices of the tensors to be contracted. Recently, more general tensor networks have been considered, where the maximally entangled states on edges are replaced by multipartite entangled states on plaquettes. Both the structure of the underlying graph and the dimensionality of the entangled states influence the computational cost of contracting these networks. Using the geometrical properties of entangled states, we provide a method to construct tensor network representations with smaller effective bond dimension. We illustrate our method with the resonating valence bond state on the kagome lattice.
https://circle.library.ubc.ca/rest/handle/2429/72043?expand=metadata
45.0 minutes
video/mp4
Author affiliation: University of Copenhagen
Banff (Alta.)
10.14288/1.0384629
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Quantum Theory, Mathematical Physics
Tensor network representations from the geometry of entangled states
Moving Image
http://hdl.handle.net/2429/72043