Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels

Details Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels

2006-04-13

arxiv.org/abs/quant-ph/0604096v1

Phys. Rev. A 73, 050301(R) (2006).

Physics

Quantum Physics

REVTeX4, 4 pages

Scientific paper

10.1103/PhysRevA.73.050301

The Mean King's problem with mutually unbiased bases is reconsidered for arbitrary d-level systems. Hayashi, Horibe and Hashimoto [Phys. Rev. A 71, 052331 (2005)] related the problem to the existence of a maximal set of d-1 mutually orthogonal Latin squares, in their restricted setting that allows only measurements of projection-valued measures. However, we then cannot find a solution to the problem when e.g., d=6 or d=10. In contrast to their result, we show that the King's problem always has a solution for arbitrary levels if we also allow positive operator-valued measures. In constructing the solution, we use orthogonal arrays in combinatorial design theory.

Affiliated with

Also associated with

No associations

Rating

Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels 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 Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solution to the Mean King's problem with mutually unbiased bases for arbitrary levels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515243