  Quantum phase slips (QPS) may produce non-equilibrium voltage fluctuations in
current-biased superconducting nanowires. Making use of the Keldysh technique
and employing the phase-charge duality arguments we investigate such
fluctuations within the four-point measurement scheme and demonstrate that shot
noise of the voltage detected in such nanowires may essentially depend on the
particular measurement setup. In long wires the shot noise power decreases with
increasing frequency $\Omega$ and vanishes beyond a threshold value of $\Omega$
at $T \to 0$
