ON THE PROTECTION AGAINST NOISE FOR MEASUREMENT-BASED QUANTUM COMPUTATION

In this paper we establish conditions for some pairs of quantum logic gates which operate on one qubit to be protected against crosstalk. We represent these logic gates by self-adjoint operators acting on an unitary plane, consider the resembling bipartite quantum systems, and extend the operators naturally to a commuting pair. Thus the corresponding two measurements can be considered as simultaneous and we can define them as events in a classical probability space. In particular, we are able to study their dependence, the information noise thus produced, and to find necessary and sufficient conditions for being informationally independent events.