We use the tensor network living on the Bruhat-Tits tree to give a concrete
realization of the recently proposed p-adic AdS/CFT correspondence (a
holographic duality based on the p-adic number field Qpβ). Instead
of assuming the p-adic AdS/CFT correspondence, we show how important features
of AdS/CFT such as the bulk operator reconstruction and the holographic
computation of boundary correlators are automatically implemented in this
tensor network.Comment: 59 pages, 18 figures; v3: improved presentation, added figures and
reference