  We present methods and results of shot-by-shot correlation of noisy
measurements to extract entangled state and process tomography in a
superconducting qubit architecture. We show that averaging continuous values,
rather than counting discrete thresholded values, is a valid tomographic
strategy and is in fact the better choice in the low signal-to-noise regime. We
show that the effort to measure $N$-body correlations from individual
measurements scales exponentially with $N$, but with sufficient signal-to-noise
the approach remains viable for few-body correlations. We provide a new
protocol to optimally account for the transient behavior of pulsed
measurements. Despite single-shot measurement fidelity that is less than
perfect, we demonstrate appropriate processing to extract and verify entangled
states and processes.
