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 | ||||||
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| 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: | https://philsci-archive.pitt.edu/id/eprint/20466 |
Available Versions of this Item
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A generic approach to the quantum mechanical transition
probability. (deposited 05 Nov 2021 03:47)
- A generic approach to the quantum mechanical transition probability. (deposited 21 Apr 2022 04:04) [Currently Displayed]
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