  In this article, we introduce a framework for entanglement characterization
by time-resolved single-photon counting with measurement operators defined in
the time domain. For a quantum system with unitary dynamics, we generate
time-continuous measurements by shifting from the Schrodinger picture to the
Heisenberg representation. In particular, we discuss this approach in reference
to photonic tomography. To make the measurement scheme realistic, we impose
timing uncertainty on photon counts along with the Poisson noise. Then, the
framework is tested numerically on quantum tomography of qubits. Next, we
investigate the accuracy of the model for polarization-entangled photon pairs.
Entanglement detection and precision of state reconstruction are quantified by
figures of merit and presented on graphs versus the amount of time uncertainty.
