  In this paper, we propose a method for implementing the interaction-free
measurement (IFM) with mesoscopic devices fabricated on a high mobility
GaAs/AlGaAs heterostructure, where a two-dimensional electron gas (2DEG) system
is buried, at low temperature. The IFM is amazing evidence of nonlocality of
the quantum mechanics because the IFM offers us the capability to detect the
existence of an object without interaction with it. A scheme of Kwiat et al.
for realizing the IFM lets a probability that we fail to recognize the presence
of the object be as small as we like, using the quantum Zeno effect.
Constructing an interferometer of Kwiat et al. for the IFM, we make use of
techniques of electron quantum optics and tunnelling microscopes for the 2DEG.
We examine a shot noise of an electric current flowing through the
interferometer. Our method for performing the IFM aims at achieving a milestone
of quantum information processing in mesoscopic systems.
