On the connection between mutually unbiased bases and orthogonal Latin squares
- Author(s)
- Tomasz Paterek, Marcin Pawlowski, M Grassl, Caslav Brukner
- Abstract
We offer a piece of evidence that the problems of finding the number of mutually unbiased bases (MUB) and mutually orthogonal Latin squares (MOLS) might not be equivalent. We study a particular procedure that has been shown to relate the two problems and generates complete sets of MUB in power-of-prime dimensions and three MUB in dimension six. For these cases, every square from an augmented set of MOLS has a corresponding MUB. We show that this no longer holds for certain composite dimensions.
- Organisation(s)
- Quantum Science
- External organisation(s)
- National University of Singapore (NUS), University of Gdańsk
- No. of pages
- 3
- DOI
- https://doi.org/10.1088/0031-8949/2010/T140/014031
- Publication date
- 2010
- Austrian Fields of Science 2012
- 103025 Quantum mechanics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/8f004035-1843-4b3a-9c0c-5a214051e602