The Open UniversitySkip to content
 

Mutually unbiased bases for continuous variables

Weigert, Stefan and Wilkinson, Michael (2008). Mutually unbiased bases for continuous variables. Physical Review A, 78(2) 020303.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1103/PhysRevA.78.020303
Google Scholar: Look up in Google Scholar

Abstract

The concept of mutually unbiased bases is studied for N pairs of continuous variables. To find mutually unbiased bases reduces, for specific states related to the Heisenberg-Weyl group, to a problem of symplectic geometry. Given a single pair of continuous variables, three mutually unbiased bases are identified while five such bases are exhibited for two pairs of continuous variables. For N=2, the golden ratio occurs in the definition of these mutually unbiased bases suggesting the relevance of number theory not only in the finite-dimensional setting.

Item Type: Journal Article
ISSN: 1050-2947
Keywords: geometry; Hilbert spaces; number theory; quantum theory
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 15744
Depositing User: Colin Smith
Date Deposited: 14 Apr 2009 15:24
Last Modified: 02 Dec 2010 20:26
URI: http://oro.open.ac.uk/id/eprint/15744
Share this page:

Altmetrics

Scopus Citations

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340   general-enquiries@open.ac.uk