Consistent assignment of quantum probabilities
Quantum Physics
2015-05-30 v2 Mathematical Physics
math.MP
Abstract
We pose and solve a problem concerning consistent assignment of quantum probabilities to a set of bases associated with maximal projective measurements. We show that our solution is optimal. We also consider some consequences of the main theorem in the paper in conjunction with Gleason's theorem. Some potential applications to state tomography and probabilistic quantum secret-sharing scheme are discussed.
Cite
@article{arxiv.1109.1763,
title = {Consistent assignment of quantum probabilities},
author = {Manas K. Patra and Ron van der Meyden},
journal= {arXiv preprint arXiv:1109.1763},
year = {2015}
}
Comments
19 pages