  To verify the hypothesis about the common origin of the low frequency 1/f
noise and the quantum f noise recently measured in the Josephson charge qubits,
we study temperature dependence of the 1/f noise and decay of coherent
oscillations. T^2 dependence of the 1/f noise is experimentally demonstrated,
which supports the hypothesis. We also show that dephasing in the Josephson
charge qubits off the electrostatic energy degeneracy point is consistently
explained by the same low frequency 1/f noise that is observed in the transport
measurements.
