The opportunity for verifying the basic principles of quantum theory and possible $q$-deformation appears in quantum cryptography (QC) – a new discipline of physics and information theory.The author, member of the group of cryptology of Praha, presents in this paper the possibility to verify the $q$-deformation of Heisenberg uncertainty relation $q$-deformed QM and possible discretization on the base of a model presented in the fourth section.In the seven sections, the author discusses these problems. First an introduction. The second section is on fractional supersymmetry and $q$-deformed quantum mechanics (QM). So he obtains fractional superspace. In section 3, he presents basic information on quantum cryptography (QC) used then for the verification of the $q$-deformation of QM in the null sector. In section 4, he presents a violation of quantum channel via $q$-deformation and in section 5 the $q$-deformed Heisenberg uncertainty relation in QC and a m!

EUDML-ID : urn:eudml:doc:220196
Mots clés:

@article{701582,
     title = {On the $Q$-deformed Heisenberg uncertainty relations and discrete time},
     booktitle = {Proceedings of the 15th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1996},
     pages = {[133]-152},
     mrnumber = {MR1463516},
     zbl = {0909.58003},
     url = {http://dml.mathdoc.fr/item/701582}
}

Hrubý, Jaroslav. On the $Q$-deformed Heisenberg uncertainty relations and discrete time, dans Proceedings of the 15th Winter School "Geometry and Physics", GDML_Books,  (1996), pp. [133]-152. http://gdmltest.u-ga.fr/item/701582/