2016/12/21 by V. I. Manko, Manko, V. I., Z. Seilov +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1612.07145
11 pages, 5 figures. The conclusion and references are corrected. Paper is accepted by Journal of Russian Laser Research (2017)
arxiv created 2017/02/28 · arxiv updated 2017/03/01
We discuss the procedure of different partitions in the finite set of N integer numbers and construct generic formulas for a bijective map of real numbers sy, where y=1,2,…,N, N=∏ k=1n Xk, and Xk are positive integers, onto the set of numbers s(y(x1,x2,…,xn)). We give the functions used to present the bijective map, namely, y(x1,x2,...,xn) and xk(y) in an explicit form and call them the functions detecting the hidden correlations in the system. The idea to introduce and employ the notion of "hidden gates" for a single qudit is proposed. We obtain the entropic-information inequalities for an arbitrary finite set of real numbers and consider the inequalities for arbitrary Clebsch--Gordan coefficients as an example of the found relations for real numbers.