Quantum teleportation and Grover's algorithm without the wavefunction

Abstract

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.

21 pages, including annex, important typo in annex corrected in v2, Found Phys (2017)

References in corpus (3)

• Deriving Grover's lower bound from simple physical principles
• Non-Boolean probabilities and quantum measurement
• Non-classical conditional probability and the quantum no-cloning theorem

Cited by in corpus (1)

• Quantum key distribution without the wavefunction