Quantum Teleportation and Grover’s Algorithm Without the Wavefunction

Citation data:

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

Publication Year:
2017
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Repository URL:
http://philsci-archive.pitt.edu/id/eprint/12737
DOI:
10.1007/s10701-016-0060-5
Author(s):
Niestegge, Gerd
Publisher(s):
Springer Nature; Springer
Tags:
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.