Quantum Teleportation and Grover’s Algorithm Without the Wavefunction

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Foundations of Physics, ISSN: 0015-9018, Vol: 47, Issue: 2, Page: 274-293

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Niestegge, Gerd
Springer Nature; Springer
Physics and Astronomy
article description
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.