Niestegge, Gerd (2021) A generic approach to the quantum mechanical transition probability. [Preprint]

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Abstract

In quantum theory, the modulus-square of the inner product of two normalized Hilbert space elements is to be interpreted as the transition probability between the pure states represented by these elements. A probabilistically motivated and more general definition of this transition probability was introduced in a preceding paper and is extended here to a general type of quantum logics: the orthomodular partially ordered sets. A very general version of the quantum no-cloning theorem, creating promising new opportunities for quantum cryptography, is presented and an interesting relationship between the transition probability and Jordan algebras is highlighted.

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Item Type:	Preprint
Creators:	Creators Email ORCID Niestegge, Gerd gerd.niestegge@web.de 0000-0002-3405-9356
Keywords:	quantum transition probability; no-cloning theorem; quantum logics; Jordan algebras; quantum cryptography; quantum information
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Gerd Niestegge
Date Deposited:	05 Nov 2021 03:47
Last Modified:	05 Nov 2021 03:47
Item ID:	19759
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	25 October 2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19759

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• A generic approach to the quantum mechanical transition probability. (deposited 05 Nov 2021 03:47) [Currently Displayed]
  • A generic approach to the quantum mechanical transition probability. (deposited 21 Apr 2022 04:04)

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