The Frame Potential, on Average

Details The Frame Potential, on Average The Frame Potential, on Average

2008-08-21

arxiv.org/abs/0808.2947v2

Open Sys. & Information Dyn. 16 (2009) 145

Physics

Quantum Physics

15 pages. Major mistake corrected in version 2

Scientific paper

A SIC consists of N^2 equiangular unit vectors in an N dimensional Hilbert space. The frame potential is a function of N^2 unit vectors. It has a unique global minimum if the vectors form a SIC, and this property has been made use of in numerical searches for SICs. When the vectors form an orbit of the Heisenberg group the frame potential becomes a function of a single fiducial vector. We analytically compute the average of this function over Hilbert space. We also compute averages when the fiducial vector is placed in certain special subspaces defined by the Clifford group.

Affiliated with

Also associated with

No associations

Rating

The Frame Potential, on Average does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Frame Potential, on Average, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Frame Potential, on Average will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219818