|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Fast Time-Evolution of Matrix-Product States using the QR decomposition | | Jakob Unfried
; Johannes Hauschild
; Frank Pollmann
; | | Date: |
19 Dec 2022 | | Abstract: | We propose and benchmark a modified time evolution block decimation (TEBD)
algorithm that uses a truncation scheme based on the QR decomposition instead
of the singular value decomposition (SVD). The modification reduces the scaling
with the dimension of the physical Hilbert space $d$ from $d^3$ down to $d^2$.
Moreover, the QR decomposition has a lower computational complexity than the
SVD and allows for highly efficient implementations on GPU hardware. In a
benchmark simulation of a global quench in a quantum clock model, we observe a
speedup of up to three orders of magnitude comparing QR and SVD based updates
on an A100 GPU. | | Source: | arXiv, 2212.09782 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER