%0 Journal Article %T Product Bases in Quantum Information Theory %A David P. DiVincenzo %A Barbara M. Terhal %J Physics %D 2000 %I arXiv %X We review the role of product bases in quantum information theory. We prove two conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely the existence of two sets of bipartite unextendible product bases, in arbitrary dimensions, which are based on a tile construction. We pose some questions related to complete product bases. %U http://arxiv.org/abs/quant-ph/0008055v1