In the same way as the quantum no-cloning theorem and quantum key
distribution in two preceding papers, entanglement-assisted quantum
teleportation and Grover's search algorithm are generalized by transferring
them to an abstract setting, including usual quantum mechanics as a special
case. This again shows that a much more general and abstract access to these
quantum mechanical features is possible than commonly thought. A non-classical
extension of conditional probability and, particularly, a very special type of
state-independent conditional probability are used instead of Hilbert spaces
and wavefunctions.Comment: 21 pages, including annex, important typo in annex corrected in v2,
Found Phys (2017
