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A generic approach to the quantum mechanical transition probability

Niestegge, Gerd (2022) A generic approach to the quantum mechanical transition probability. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478 (2260).

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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: Published Article or Volume
Creators:
CreatorsEmailORCID
Niestegge, Gerdgerd.niestegge@web.de0000-0002-3405-9356
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: 21 Apr 2022 04:04
Last Modified: 21 Apr 2022 04:04
Item ID: 20466
Journal or Publication Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
DOI or Unique Handle: 10.1098/rspa.2021.0821
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 13 April 2022
Volume: 478
Number: 2260
URI: http://philsci-archive.pitt.edu/id/eprint/20466

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