This repository is to reproduce results in the paper arxiv-link "Quantifying Subspace Entanglement with Geometric Measures"
PS: this folder previously located in project/entangled-subspace
of the github/numqi/numqi
repository.
- link
- github/tensorspace magma based
- completely entangled subspace (CES)
- maximal dimension in space
$\bigotimes_{i=1}^{k}\mathcal{H}_k$ :$d_1d_2\cdots d_k-(d_1+\cdots+d_k)+k-1$ doi-link
- maximal dimension in space
- perfectly entangled subspace
demo_schmidt_rank.py
, GenTiles1
dim | loss(1) |
loss(2) |
time (second) |
---|---|---|---|
4 |
0.82 |
||
8 |
2.5 |
||
16 |
3.4 |
||
32 |
20.0 |
||
64 |
352 |
draft_seesaw.py/demo_compare_with_seesaw_dicke()
(n,k) | analytical | err(GD) | err(seesaw) | err(PPT) | time(GD) | time(seesaw) | time(PPT) |
---|---|---|---|---|---|---|---|
(5,1) | 0.5904 | 0.103 | 0.0101 | 1.73 | |||
(5,2) | 0.6544 | 0.087 | 0.0091 | 1.64 | |||
(5,3) | 0.6544 | 0.084 | 0.0091 | 1.59 | |||
(6,1) | 0.5981 | 0.129 | 0.017 | 25.1 | |||
(6,2) | 0.6708 | 0.122 | 0.018 | 26.5 | |||
(6,3) | 0.6875 | 0.166 | 0.018 | 25.7 | |||
(7,1) | 0.6034 | None | 0.173 | 0.019 | None | ||
(7,2) | 0.6813 | None | 0.163 | 0.019 | None | ||
(7,3) | 0.7062 | None | 0.150 | 0.020 | None |