  In classical mechanics, performing a measurement without reading the
measurement outcome is equivalent to not exploiting the measurement at all. A
non-selective measurement in the classical realm carries no information. Here
we show that the situation is remarkably different when quantum mechanical
systems are concerned. A non-selective measurement on one part of a maximally
entangled pair can allow communication between two parties. In the proposed
protocol, the signal is encoded in the choice of the measurement basis of one
of the communicating parties, while the outcomes of the measurement are
irrelevant for the communication and therefore may be discarded. Different
choices for the (non-selective) measurement basis correspond to different
signals. The scheme is studied in a Hilbert space of odd prime dimension
