Quantum Teleportation and Grover’s Algorithm Without the Wavefunction

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• 作者：Gerd Niestegge
• 关键词：Quantum teleportion ; Quantum algorithms ; Foundations of quantum theory ; Quantum probability ; Quantum logic
• 刊名：Foundations of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：47
• 期：2
• 页码：274-293
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：History and Philosophical Foundations of Physics; Quantum Physics; Classical and Quantum Gravitation, Relativity Theory; Statistical Physics and Dynamical Systems; Classical Mechanics; Philosophy of S
• 出版者：Springer US
• ISSN：1572-9516
• 卷排序：47

文摘

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.