Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models

Details Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models

2008-04-14

arxiv.org/abs/0804.2193v2

Phys. Rev. A 79, 012109 (2009)

Physics

Quantum Physics

Published version

Scientific paper

10.1103/PhysRevA.79.012109

Mutually unbiased bases encapsulate the concept of complementarity - the impossibility of simultaneous knowledge of certain observables - in the formalism of quantum theory. Although this concept is at the heart of quantum mechanics, the number of these bases is unknown except for systems of dimension being a power of a prime. We develop the relation between this physical problem and the mathematical problem of finding the number of mutually orthogonal Latin squares. We derive in a simple way all known results about the unbiased bases, find their lower number, and disprove the existence of certain forms of the bases in dimensions different than power of a prime. Using the Latin squares, we construct hidden-variable models which efficiently simulate results of complementary quantum measurements.

Affiliated with

Also associated with

No associations

Rating

Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models 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 Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-71745