Consistent assignment of quantum probabilities

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 this paper in conjunction with Gleason's theor...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2012-02, Vol.45 (7), p.75304-13
Main Authors: Patra, Manas K, van der Meyden, Ron
Format: Article
Language:English
Subjects:
consistent quantum probability
Exact sciences and technology
Mathematical analysis
measurement bases
Optimization
Physics
Probabilistic methods
Probability theory
secret-sharing protocol
Theorems
Tomography
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Summary: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 this paper in conjunction with Gleason's theorem. Some potential applications to state tomography and probabilistic quantum secret-sharing scheme are discussed.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/45/7/075304