  In this paper, we demonstrate the generation of high-performance entangled
photon-pairs in different degrees of freedom from a single piece of fiber
pigtailed periodically poled LiNbO$_3$ (PPLN) waveguide. We utilize cascaded
second-order nonlinear optical processes, i.e. second-harmonic generation (SHG)
and spontaneous parametric down conversion (SPDC), to generate photon-pairs.
Previously, the performance of the photon pairs is contaminated by Raman noise
photons from the fiber pigtails. Here by integrating the PPLN waveguide with
noise rejecting filters, we obtain a coincidence-to-accidental ratio (CAR)
higher than 52,600 with photon-pair generation and detection rate of 52.3 kHz
and 3.5 kHz, respectively. Energy-time, frequency-bin and time-bin entanglement
is prepared by coherently superposing correlated two-photon states in these
degrees of freedom, respectively. The energy-time entangled two-photon states
achieve the maximum value of CHSH-Bell inequality of S=2.708$\pm$0.024 with a
two-photon interference visibility of 95.74$\pm$0.86%. The frequency-bin
entangled two-photon states achieve fidelity of 97.56$\pm$1.79% with a spatial
quantum beating visibility of 96.85$\pm$2.46%. The time-bin entangled
two-photon states achieve the maximum value of CHSH-Bell inequality of
S=2.595$\pm$0.037 and quantum tomographic fidelity of 89.07$\pm$4.35%. Our
results provide a potential candidate for quantum light source in quantum
photonics.
