We clarify the connections between the erasure scheme of probabilistic CNOT gate implementation recently proposed by Pittman, Jacobs and Franson [Phys. Rev. A 64, 062311 (2001)] and quantum teleportation.

Describing and explaining are two very different engagements, and yet development experts routinely write as though to describe were to explain. If this were not the case, it would be hard to understand why they have found it necessary to repeatedly describe the lives of the world’s poorest over the past 30 years. Consider the following sentence constructed from numerous writings—for example, b...

We construct N-soliton solutions to the equation called Q3 in the recent Adler-Bobenko-Suris classification. An essential ingredient in the construction is the relationship of (Q3) δ=0 to the equation proposed by Nijhoff, Quispel and Capel in 1983 (the NQC equation). This latter equation has two extra parameters, and depending on their sign choices we get a 4-to-1 relationship from NQC to (Q3) ...