Physics – Quantum Physics
Scientific paper
2009-03-27
New J. Phys. 11 (2009) 063040
Physics
Quantum Physics
46 pages, 1 table, contains a review of finite dimensional quasi-probability functions
Scientific paper
10.1088/1367-2630/11/6/063040
Building on earlier work, we further develop a formalism based on the mathematical theory of frames that defines a set of possible phase-space or quasi-probability representations of finite-dimensional quantum systems. We prove that an alternate approach to defining a set of quasi-probability representations, based on a more natural generalization of a classical representation, is equivalent to our earlier approach based on frames, and therefore is also subject to our no-go theorem for a non-negative representation. Furthermore, we clarify the relationship between the contextuality of quantum theory and the necessity of negativity in quasi-probability representations and discuss their relevance as criteria for non-classicality. We also provide a comprehensive overview of known quasi-probability representations and their expression within the frame formalism.
Emerson Joseph
Ferrie Christopher
No associations
LandOfFree
Framed Hilbert space: hanging the quasi-probability pictures of quantum theory 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 Framed Hilbert space: hanging the quasi-probability pictures of quantum theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Framed Hilbert space: hanging the quasi-probability pictures of quantum theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-21761