  The statistical properties of photons are fundamental to investigating
quantum mechanical phenomena using light. In multi-photon, two-mode systems,
correlations may exist between outcomes of measurements made on each mode which
exhibit useful properties. Correlation in this sense can be thought of as
increasing the probability of a particular outcome of a measurement on one
subsystem given a measurement on a correlated subsystem. Here, we show a
statistical property we call "discorrelation," in which the probability of a
particular outcome of one subsystem is reduced to zero, given a measurement on
a discorrelated subsystem. We show how such a state can be constructed using
readily available building blocks of quantum optics, namely coherent states,
single photons, beam splitters and projective measurement. We present a variety
of discorrelated states, show that they are entangled, and study their
sensitivity to loss.
