  We revisit Ozawa's uncertainty principle (OUP) in the framework of
noncommutative (NC) quantum mechanics. We derive a matrix version of OUP
accommodating any NC structure in the phase-space, and compute NC corrections
to lowest order for two measurement interactions, namely the Backaction Evading
Quadrature Amplifier and Noiseless Quadrature Transducers. These NC corrections
alter the nature of the measurement interaction, as a noiseless interaction may
acquire noise, and an interaction of independent intervention may become
dependent of the object system. However the most striking result is that
noncommutativity may lead to a violation of the OUP itself. The NC corrections
for the Backaction Evading Quadrature Amplifier reveal a new term which may
potentially be amplified in such a way that the violation of the OUP becomes
experimentally testable. On the other hand, the NC corrections to the Noiseless
Quadrature Transducer shows an incompatibility of this model with NC quantum
mechanics. We discuss the implications of this incompatibility for NC quantum
mechanics and for Ozawa's uncertainty principle.
