  We discuss Chiral Magnetic Effect from quantum theory of measurements point
of view for non-stationary measurements. The effect of anisotropy for
fluctuations of electric currents in magnetic field is addressed. It is shown
that anisotropy caused by nonzero axial chemical potential is indistinguishable
in this framework from anisotropy caused by finite measurement time or finite
lifetime of the magnetic field, and in all cases it is related to abelian
triangle anomaly. Possible P-odd effects for central heavy ions collisions
(where Chiral Magnetic Effect is absent) are discussed in this context.
