  Given a quantum system on many qubits split into a few different parties, how
many total correlations are there between these parties? Such a quantity, aimed
to measure the deviation of the global quantum state from an uncorrelated state
with the same local statistics, plays an important role in understanding
multipartite correlations within complex networks of quantum states. Yet, the
experimental access of this quantity remains challenging as it tends to be
non-linear, and hence often requires tomography which becomes quickly
intractable as dimensions of relevant quantum systems scale. Here, we introduce
a much more experimentally accessible quantifier of total correlations, which
can be estimated using only single-qubit measurements. It requires far fewer
measurements than state tomography and obviates the need to coherently
interfere multiple copies of a given state. Thus, we provide a tool for proving
multipartite correlations that can be applied to near-term quantum devices.
