Product Bases in Quantum Information Theory
David Peter Divincenzo, Barbara M. Terhal · arXiv (Cornell University) · 2000
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.