Quantum spin liquid state can be represented and efficiently characterized within the symmetric Projected Entangled Pair State (PEPS) framework. A prototypical example is the nearest neighbor (NN) resonating valence bond (RVB) state, which has been thoroughly studied on various lattices with PEPS. Here I will show, through suitable deformation of the local tensor of NN RVB state on square lattice, we can introduce long-range singlets into the wave function and drive the state into a topological Z_2 phase. This approach turns out to be quite general for quantum spin liquid problem, which I will briefly explain. Then I will present our recent work about SU(3) chiral spin liquid using this approach, where characteristic feature of SU(3)_1 chiral topological order is observed from PEPS entanglement spectrum.

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