Mutually unbiased bases, Heisenberg-Weyl orbits and the distance between them
2012 (English)Conference paper (Other academic)
There is a famous construction of mutually unbiased bases in prime dimensions that uses the eigenbases of cyclic subgroups of the Heisenberg-Weyl group. Less well-known perhaps is that orbits under the same group also form sets of mutually unbiased bases. Regarded as points in a Grassmannian space, we find that the individual bases from different sets of mutually unbiased bases lie at regular, repeating distances from one another and we conjecture an analytical expression for these distances based on their status as 2-designs.
Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2012. 359-364 p.
, AIP Conference Proceedings, ISSN 0094-243X ; 1508
Mutually unbiased bases, Heisenberg-Weyl group
IdentifiersURN: urn:nbn:se:su:diva-87986DOI: 10.1063/1.4773148OAI: oai:DiVA.org:su-87986DiVA: diva2:608589
Quantum Theory: Reconsideration of Foundations 6