Abstract
We prove boundedness results for the injectivity regions for projected entangled pair states. Our result is a higher-dimensional generalization of the quantum Wielandt inequality.
| Original language | English |
|---|---|
| Pages (from-to) | 1125-1130 |
| Number of pages | 6 |
| Journal | SIAM Journal on Matrix Analysis and Applications |
| Volume | 40 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2019 |
| MoE publication type | A1 Journal article-refereed |
Funding
The work of the first author was supported by Polish National Science Center project 2013/08/A/ST1/00804 affiliated with the University of Warsaw.
Keywords
- PEPS
- quantum Wielandt
- tensor
- injectivity radius
- nonlinear algebra