The uncertainty relation expressed by means of a new entropic function

• Authors: Vladimir Majerník
• Languages of publication: EN

Abstracts

EN

In this article we use a new entropic function, derived from an f-divergence between two probability distributions, for the construction of an alternative entropic uncertainty relation. After a brief review of some existing f-divergences, a new f-divergence and the corresponding entropic function, derived from it, is introduced and its useful characteristics are presented. This entropic function is then applied to construct an alternative uncertainty relation of two non-commuting observables in quantum physics. An explicit expression for such an uncertainty relation is found for the case of two observables which are the x- and z-components of the angular momentum of the spin-1/2 system.

Keywords

EN

f-divergence; uncertainty relation; complementary observables

Discipline

• 03.65.Ta: Foundations of quantum mechanics; measurement theory(for optical tests of quantum theory, see 42.50.Xa)
• 02.50.-r: Probability theory, stochastic processes, and statistics(see also section 05 Statistical physics, thermodynamics, and nonlinear dynamical systems)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 2
• Pages: 363-371

Dates

published

1 - 6 - 2008

online

26 - 3 - 2008

Contributors

author

Vladimir Majerník

• Institute of Mathematics, Slovak Academy of Sciences, SK-814 73, Bratislava, Štefánikova 49, Slovak Republic

References

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Identifiers

DOI

10.2478/s11534-008-0057-6