Quantum Teleportation and Grover’s Algorithm Without the Wavefunction

Foundations of Physics 47 (2):274-293 (2017)
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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.

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Algorithms for quantum computation: Discrete logarithms and factoring.P. Shor - 1994 - Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science:124-134.
A Generalized Quantum Theory.Gerd Niestegge - 2014 - Foundations of Physics 44 (11):1216-1229.

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