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Finite tight frames and some applications

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Nicolae Cotfas and Jean Pierre Gazeau

Editorial: IOP Publishing, Journal of Physics A: Mathematical and Theoretical, 43, p.193001, 2010.


A finite-dimensional Hilbert space is usually described in terms of an orthonormal basis, but in certain approaches or applications a description in terms of a finite overcomplete system of vectors, called a finite tight frame, may offer some advantages. The use of a finite tight frame may lead to a simpler description of the symmetry transformations, to a simpler and more symmetric form of invariants or to the possibility to define new mathematical objects with physical meaning, particularly in regard with the notion of a quantization of a finite set. We present some results concerning the use of integer coefficients and frame quantization, several examples and suggest some possible applications.

Cuvinte cheie: frame-uri finite,sisteme cuantice finite,quantificare // finite frame,frame quantization,finite quantum systems