  We present the theoretical model of the "quantum ammeter", a device that is
able to measure the full counting statistics of an electron current at quantum
time scales. It consists of an Ohmic contact, perfectly coupled to chiral
quantum Hall channels, and of a quantum dot attached to one of the outgoing
channels. At energies small compared to its charging energy, the Ohmic contact
fractionalizes each incoming electron and redistributes it between outgoing
channels. By monitoring the resonant tunneling current through the quantum dot,
one gets an access to the moment generator of the current in one of the
incoming channels at time scales comparable to its correlation time.
