  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 Schr\"odinger picture to the
Heisenberg representation. In particular, we discuss this approach in reference
to photonic tomography. To make the measurement scheme realistic, timing
uncertainty is imposed 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 qubits.
Entanglement detection and precision of state reconstruction are quantified by
figures of merit and presented on graphs versus the amount of time uncertainty.
