Surveying points in the complex projective plane
- Submitting institution
-
Goldsmiths' College
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 2268
- Type
- D - Journal article
- DOI
-
10.1016/j.aim.2015.09.022
- Title of journal
- Advances in Mathematics
- Article number
- -
- First page
- 1017
- Volume
- 286
- Issue
- -
- ISSN
- 0001-8708
- Open access status
- Out of scope for open access requirements
- Month of publication
- January
- Year of publication
- 2015
- URL
-
http://research.gold.ac.uk/id/eprint/24507/
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
1
- Research group(s)
-
-
- Citation count
- 12
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This article establishes a fundamental uniqueness result in the theory of quantum measurement, of relevance to quantum tomography and quantum computational devices. The existence of SIC-POVMs (symmetric positive operator valued measures) in dimension three was shown by Renes, Blume-Kohout, Scott and Caves in 2004 but it remained an open question for many years, finally resolved in the present paper, as to whether there existed any other solutions than those found by Renes et al. The result forms an excellent example of a nontrivial computer-assisted proof of a theorem in geometry.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -