David P. DiVincenzo, Barbara M. Terhal
Published 2000-08-11Version 1
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.
Comments: 9 pages, 4 figures; submitted to the Proceedings of the XIII International Congress on Mathematical Physics
Von Neumann and Luders postulates and quantum information theory
Measurement-induced nonlocality in arbitrary dimensions in terms of the inverse approximate joint diagonalization
Equivalence of Additivity Questions in Quantum Information Theory
