Finite geometries and Finite quantum systems: Duality between lines in phase space and mutually unbiased bases in Hilbert space
1 Department of Computing, University of Bradford, Bradford BD7 1DP, United Kingdom
* Corresponding author: abdsemiu@yahoo.com
* Corresponding author: abdsemiu@yahoo.com
Abstract
In this work, we focus on finite quantum systems with variables in Zd and finite geometry Gd where d is a prime integer. In it, we confirmed the existence of duality between mutually unbiased bases in Hilbert space of a finite quantum system and lines in phase space.
Keywords
Mutually unbiased bases
finite geometries
finite quantum systems
How to Cite
O., O. S., T., O., & M., B. A. (2016). Finite geometries and Finite quantum systems: Duality between lines in phase space and mutually unbiased bases in Hilbert space. Nigerian Journal of Mathematics and Applications, 25(1), 1-7. https://doi.org/10.67897/njma.2016.d54eyoj7
O. S. O., O. T., and B. A. M., "Finite geometries and Finite quantum systems: Duality between lines in phase space and mutually unbiased bases in Hilbert space," Nigerian Journal of Mathematics and Applications, vol. 25, no. 1, pp. 1-7, June 2016. doi: 10.67897/njma.2016.d54eyoj7
