On the connection between mutually unbiased bases and orthogonal Latin squares

Autor(en)

Tomasz Paterek, Marcin Pawlowski, M Grassl, Caslav Brukner

Abstrakt

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(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

National University of Singapore (NUS), University of Gdańsk

Anzahl der Seiten

3

DOI

https://doi.org/10.1088/0031-8949/2010/T140/014031

Publikationsdatum

2010

ÖFOS 2012

103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/8f004035-1843-4b3a-9c0c-5a214051e602