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- Document type:
- Bachelorarbeit
- Author(s):
- Zekai Li
- Title:
- Decomposition Methods for Tensor Networks
- Translated title:
- Zerlegunsgmethoden für Tensornetzwerke
- Abstract:
- We introduce and evaluate a modified Time Evolution Block Decimation (TEBD) algorithm employing a truncation method based on QR decomposition instead of Singular Value Decomposition (SVD). This modification significantly reduces the computational complexity from d^3 to d&2 , where d represents the dimension of the physical Hilbert space. In a benchmark study involving a global quench simulation in a d-state quantum clock model, we found that compared to the SVD-based TEBD algorithm, the approach based on QR decomposition provides a considerable speedup.
- Supervisor:
- Christian B. Mendl
- Advisor:
- Philipp Seitz
- Year:
- 2024
- Quarter:
- 1. Quartal
- Year / month:
- 2024-03
- Month:
- Mar
- Language:
- en
- University:
- Technical University of Munich
- Faculty:
- TUM School of Computation, Information and Technology
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