Quick Navigation
Topics
Quantum Algorithms
The LU-LC conjecture is false
arXiv
Authors: Zhengfeng Ji, Jianxin Chen, Zhaohui Wei, Mingsheng Ying
Year
2007
Paper ID
49139
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
The LU-LC conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism. It states that two local unitary equivalent stabilizer states are also local Clifford equivalent. If this conjecture were true, the local equivalence of stabilizer states would be extremely easy to characterize. Unfortunately, however, based on the recent progress made by Gross and Van den Nest, we find that the conjecture is false.
Why This Paper Matters
- It adds a 2007 reference point for readers tracking recent quantum research.
- The LU-LC conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism.
Paper Tools
Become a member to use research tools
Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.
Show Paper arXiv Publisher Share
Cite This Paper
Copy URL
Compare
Copy DOI Add to Reading List
Category Correction Request
Category Correction Request
Help us improve classification quality by proposing a better category. Every request is reviewed by an admin.
Sign in to submit a category correction request for this paper.
Log In to SubmitReferences & Citation Signals
Community Reactions
Quick sentiment from readers on this paper.
Score:
0
Likes: 0
Dislikes: 0
Sign in to react to this paper.
Discussion & Reviews (Moderated)
Average Rating: 0.0 / 5 (0 ratings)
No written reviews yet.