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Product Bases in Quantum Information Theory

David P. DiVincenzo·Barbara M. Terhal
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Abstract

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.

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David P. DiVincenzo, Barbara M. Terhal. 2000-08-11. Product Bases in Quantum Information Theory. https://arxiv.org/abs/quant-ph/0008055

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