Quick Navigation
Topics
Quantum Simulation
Entanglement Theory Quantum Correlations
A Conjecture on Almost Flat SIC-POVMs
arXiv
Authors: Ingemar Bengtsson, Markus Grassl
Year
2025
Paper ID
36537
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
A well supported conjecture states that SIC-POVMs - maximal sets of complex equiangular lines - with anti-unitary symmetry give rise to an identity expressing some of its overlaps as squares of the (rescaled) components of a suitably chosen fiducial vector. In number theoretical terms the identity essentially expresses Stark units as sums of products of pairs of square roots of Stark units. We investigate whether the identity is enough to determine these Stark units. The answer is no, but the failure might be quite mild.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2025 reference point for readers tracking recent quantum research.
- A well supported conjecture states that SIC-POVMs - maximal sets of complex equiangular lines - with anti-unitary symmetry give rise to an identity expressing some of its...
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.