  We investigate the physics of projected d-wave pairing states using their
fermionic projected entangled pair state (fPEPS) representation. First, we
approximate a d-wave Bardeen-Cooper-Schrieffer state using the Gaussian fPEPS.
Next, we translate the resulting state into fPEPS tensors and implement the
Gutzwiller projection which removes double occupancy by modifying the local
tensor elements. The tensor network representation of the projected d-wave
pairing state allows us to evaluate physical quantities in the thermodynamic
limit without employing the Gutzwiller approximation. Despite having very few
variational parameters, such physically motivated tensor network states are
shown to exhibit competitive energies for the doped t-J model. We expect that
such construction offers useful initial states and guidance for variational
tensor network calculations.
