We calculate the dephasing rate of an electron state in a pinched quantum d
ot, due to Coulomb interactions between the electron in the dot and electro
ns in a nearby voltage-biased ballistic nanostructure. The dephasing is cau
sed by nonequilibrium time fluctuations of the electron density in the nano
structure, which create random electric fields in the dot. As a result, the
electron level in the dot fluctuates in time, and the coherent part of the
resonant transmission through the dot is suppressed.