https://github.com/vprusso/qubit-upb
A search and catalog of qubit UPB (unextendible product bases)
https://github.com/vprusso/qubit-upb
Last synced: 7 months ago
JSON representation
A search and catalog of qubit UPB (unextendible product bases)
- Host: GitHub
- URL: https://github.com/vprusso/qubit-upb
- Owner: vprusso
- License: mit
- Created: 2023-03-11T13:29:17.000Z (over 2 years ago)
- Default Branch: master
- Last Pushed: 2023-04-07T12:54:25.000Z (over 2 years ago)
- Last Synced: 2025-01-28T20:42:16.119Z (8 months ago)
- Language: Python
- Size: 39.1 KB
- Stars: 0
- Watchers: 3
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# qubit upb
# Summary of UPBs
Table updated and adapted from [3].
Updated entries have been tagged with a superscript.
Number of qubits
Size
1
2
3
4
5
6
7
1
❌
❌
❌
❌
❌
❌
❌
2
✅
❌
❌
❌
❌
❌
❌
3
❌
❌
❌
❌
❌
❌
❌
4
❌
✅
✅
❌
❌
❌
❌
5
❌
❌
❌
❌
❌
❌
❌
6
❌
❌
❌
✅
✅
❌
❌
7
❌
❌
❌
✅
❌
❌
❌
8
❌
❌
✅
✅
✅
✅
✅
9
❌
❌
❌
✅
✅
✅
❌
10
❌
❌
❌
✅
✅
❓
✅1
11
❌
❌
❌
❌
❓
❓
❓
12
❌
❌
❌
✅
✅
✅
✅
13
❌
❌
❌
❌
✅
❓
❓
14
❌
❌
❌
❌
✅
✅
❓
15
❌
❌
❌
❌
✅
✅
❓
16
❌
❌
❌
✅
✅
✅
✅
17-18
❌
❌
❌
❌
✅
✅
✅
19
❌
❌
❌
❌
✅
✅
❓
20-26
❌
❌
❌
❌
✅
✅
✅
27
❌
❌
❌
❌
❌2
✅
✅
28
❌
❌
❌
❌
✅
✅
✅
29-31
❌
❌
❌
❌
❌
✅
✅
32
❌
❌
❌
❌
✅
✅
✅
33-58
❌
❌
❌
❌
❌
✅
✅
59
❌
❌
❌
❌
❌
❌2
✅
60
❌
❌
❌
❌
❌
✅
✅
61-63
❌
❌
❌
❌
❌
❌
✅
64
❌
❌
❌
❌
❌
✅
✅
65-122
❌
❌
❌
❌
❌
❌
✅
123
❌
❌
❌
❌
❌
❌
❌2
124
❌
❌
❌
❌
❌
❌
✅
125-127
❌
❌
❌
❌
❌
❌
❌
128
❌
❌
❌
❌
❌
❌
✅
## References
[1] Wang, Kai, and Lin Chen. "The construction of 7-qubit unextendible product bases of size ten." Quantum Information Processing 19 (2020): 1-17.
[2] Chen, Lin, and Dragomir Ž. Đoković. "Nonexistence of n-qubit unextendible product bases of size 2^ n-5 2 n-5." Quantum Information Processing 17 (2018): 1-10.
[3] Johnston, Nathaniel. The structure of qubit unextendible product bases." Journal of Physics A: Mathematical and Theoretical 47.42 (2014): 424034.