- Author
- Quinten Mortier, Lukas Devos (UGent) , Lander Burgelman (UGent) , Bram Vanhecke, Nick Bultinck (UGent) , Frank Verstraete (UGent) , Jutho Haegeman (UGent) and Laurens Vanderstraeten (UGent)
- Organization
- Project
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- Strongly interacting electrons in synthetic superlattices
- Creating highly entangled quantum states in the NISQ era
- Tensor Tools for Taming the Curse
- Bridging the gap between density functional theory and quantum tensor networks to accurately model strongly correlated nanostructured materials
- Microscopic models for non-Abelian topological quantum error correction
- Abstract
- We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding the need of a Jordan-Wigner transformation or the explicit tracking of leg crossings by swap gates in 2D tensor networks. The graded Hilbert spaces can be readily integrated with other internal and lattice symmetries, and only require minor extensions to an existing tensor network software package. We review and benchmark the fermionic versions of common algorithms for matrix product states and projected entangled-pair states.
- Keywords
- ORDER
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SciPostPhys 18 1 012.pdf
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01JV201JMCZQ7NJ47VKBE9YG9T
- MLA
- Mortier, Quinten, et al. “Fermionic Tensor Network Methods.” SCIPOST PHYSICS, vol. 18, no. 1, 2025, doi:10.21468/scipostphys.18.1.012.
- APA
- Mortier, Q., Devos, L., Burgelman, L., Vanhecke, B., Bultinck, N., Verstraete, F., … Vanderstraeten, L. (2025). Fermionic tensor network methods. SCIPOST PHYSICS, 18(1). https://doi.org/10.21468/scipostphys.18.1.012
- Chicago author-date
- Mortier, Quinten, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, and Laurens Vanderstraeten. 2025. “Fermionic Tensor Network Methods.” SCIPOST PHYSICS 18 (1). https://doi.org/10.21468/scipostphys.18.1.012.
- Chicago author-date (all authors)
- Mortier, Quinten, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, and Laurens Vanderstraeten. 2025. “Fermionic Tensor Network Methods.” SCIPOST PHYSICS 18 (1). doi:10.21468/scipostphys.18.1.012.
- Vancouver
- 1.Mortier Q, Devos L, Burgelman L, Vanhecke B, Bultinck N, Verstraete F, et al. Fermionic tensor network methods. SCIPOST PHYSICS. 2025;18(1).
- IEEE
- [1]Q. Mortier et al., “Fermionic tensor network methods,” SCIPOST PHYSICS, vol. 18, no. 1, 2025.
@article{01JV201JMCZQ7NJ47VKBE9YG9T,
abstract = {{We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding the need of a Jordan-Wigner transformation or the explicit tracking of leg crossings by swap gates in 2D tensor networks. The graded Hilbert spaces can be readily integrated with other internal and lattice symmetries, and only require minor extensions to an existing tensor network software package. We review and benchmark the fermionic versions of common algorithms for matrix product states and projected entangled-pair states.}},
articleno = {{012}},
author = {{Mortier, Quinten and Devos, Lukas and Burgelman, Lander and Vanhecke, Bram and Bultinck, Nick and Verstraete, Frank and Haegeman, Jutho and Vanderstraeten, Laurens}},
issn = {{2542-4653}},
journal = {{SCIPOST PHYSICS}},
keywords = {{ORDER}},
language = {{eng}},
number = {{1}},
pages = {{77}},
title = {{Fermionic tensor network methods}},
url = {{http://doi.org/10.21468/scipostphys.18.1.012}},
volume = {{18}},
year = {{2025}},
}
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