Real Mutually Unbiased Bases

Details Real Mutually Unbiased Bases Real Mutually Unbiased Bases

2005-02-03

arxiv.org/abs/quant-ph/0502024v2

Physics

Quantum Physics

13 pages

Scientific paper

We tabulate bounds on the optimal number of mutually unbiased bases in R^d. For most dimensions d, it can be shown with relatively simple methods that either there are no real orthonormal bases that are mutually unbiased or the optimal number is at most either 2 or 3. We discuss the limitations of these methods when applied to all dimensions, shedding some light on the difficulty of obtaining tight bounds for the remaining dimensions that have the form d=16n^2, where n can be any number. We additionally give a simpler, alternative proof that there can be at most d/2+1 real mutually unbiased bases in dimension d instead of invoking the known results on extremal Euclidean line sets by Cameron and Seidel, Delsarte, and Calderbank et al.

Affiliated with

Also associated with

No associations

Rating

Real Mutually Unbiased Bases 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 Real Mutually Unbiased Bases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Real Mutually Unbiased Bases will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-177556