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- Dokumenttyp:
- Bachelorarbeit
- Autor(en):
- Zekai Li
- Titel:
- Decomposition Methods for Tensor Networks
- Übersetzter Titel:
- 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.
- Aufgabensteller:
- Christian B. Mendl
- Betreuer:
- Philipp Seitz
- Jahr:
- 2024
- Quartal:
- 1. Quartal
- Jahr / Monat:
- 2024-03
- Monat:
- Mar
- Sprache:
- en
- Hochschule / Universität:
- Technical University of Munich
- Fakultät:
- TUM School of Computation, Information and Technology
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