Physics – Quantum Physics
Scientific paper
2010-05-21
Journal of Russian Laser Research 31 (2010) 211-231
Physics
Quantum Physics
22 pages, 1 figure, LaTeX, partially presented at the Workshop "Nonlinearity and Coherence in Classical and Quantum Systems" h
Scientific paper
10.1007/s10946-010-9139-1
Symmetric informationally complete positive operator valued measures (SIC-POVMs) are studied within the framework of the probability representation of quantum mechanics. A SIC-POVM is shown to be a special case of the probability representation. The problem of SIC-POVM existence is formulated in terms of symbols of operators associated with a star-product quantization scheme. We show that SIC-POVMs (if they do exist) must obey general rules of the star product, and, starting from this fact, we derive new relations on SIC-projectors. The case of qubits is considered in detail, in particular, the relation between the SIC probability representation and other probability representations is established, the connection with mutually unbiased bases is discussed, and comments to the Lie algebraic structure of SIC-POVMs are presented.
Filippov Sergey N.
Man'ko Vladimir I.
No associations
LandOfFree
Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics 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 Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric informationally complete positive operator valued measure and probability representation of quantum mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-412612