Physics – Quantum Physics
Scientific paper
2010-01-26
Journal of Russian Laser Research 31 (2010) 32-54
Physics
Quantum Physics
23 pages, 4 figures, PDF LaTeX, submitted to the Journal of Russian Laser Research
Scientific paper
10.1007/s10946-010-9122-x
Using the tomographic probability representation of qudit states and the inverse spin-portrait method, we suggest a bijective map of the qudit density operator onto a single probability distribution. Within the framework of the approach proposed, any quantum spin-j state is associated with the (2j+1)(4j+1)-dimensional probability vector whose components are labeled by spin projections and points on the sphere. Such a vector has a clear physical meaning and can be relatively easily measured. Quantum states form a convex subset of the 2j(4j+3) simplex, with the boundary being illustrated for qubits (j=1/2) and qutrits (j=1). A relation to the (2j+1)^2- and (2j+1)(2j+2)-dimensional probability vectors is established in terms of spin-s portraits. We also address an auxiliary problem of the optimum reconstruction of qudit states, where the optimality implies a minimum relative error of the density matrix due to the errors in measured probabilities.
Filippov Sergey N.
Man'ko Vladimir I.
No associations
LandOfFree
Inverse spin-s portrait and representation of qudit states by single probability vectors 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 Inverse spin-s portrait and representation of qudit states by single probability vectors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse spin-s portrait and representation of qudit states by single probability vectors will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-238140