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We propose a scheme to generate photonic tensor network states by sequentialscattering of photons in waveguide QED systems. We show that sequentialscatterings can convert a series of unentangled photons into any type of matrixproduct states. We also demonstrate the possibility of generating projectedentangled pair states with arbitrary network representation by photonre-scattering.

Generate tensor network state by sequential single-photon scattering in waveguide QED systems