  It has recently been shown that all causal correlations between two parties
which output each one bit, a and b, when receiving each one bit, x and y, can
be expressed as convex combinations of local correlations (i.e., correlations
that can be simulated with local random variables) and non-local correlations
of the form a+b=xy mod 2. We show that a single instance of the latter
elementary non-local correlation suffices to simulate exactly all possible
projective measurements that can be performed on the singlet state of two
qubits, with no communication needed at all. This elementary non-local
correlation thus defines some unit of non-locality, which we call a nl-bit.
