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Conditional Action and Imperfect Erasure of Qubits

We consider state changes in quantum theory due to “conditional action” and relate these to the discussion of entropy decrease due to interventions of “intelligent beings” and the principles of Szilard and Landauer/Bennett. The mathematical theory of conditional actions is a special case of the theo...

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Autor principal: Schmidt, Heinz-Jürgen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7996917/
https://www.ncbi.nlm.nih.gov/pubmed/33652928
http://dx.doi.org/10.3390/e23030289
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author Schmidt, Heinz-Jürgen
author_facet Schmidt, Heinz-Jürgen
author_sort Schmidt, Heinz-Jürgen
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description We consider state changes in quantum theory due to “conditional action” and relate these to the discussion of entropy decrease due to interventions of “intelligent beings” and the principles of Szilard and Landauer/Bennett. The mathematical theory of conditional actions is a special case of the theory of “instruments”, which describes changes of state due to general measurements and will therefore be briefly outlined in the present paper. As a detailed example, we consider the imperfect erasure of a qubit that can also be viewed as a conditional action and will be realized by the coupling of a spin to another small spin system in its ground state.
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spelling pubmed-79969172021-03-27 Conditional Action and Imperfect Erasure of Qubits Schmidt, Heinz-Jürgen Entropy (Basel) Article We consider state changes in quantum theory due to “conditional action” and relate these to the discussion of entropy decrease due to interventions of “intelligent beings” and the principles of Szilard and Landauer/Bennett. The mathematical theory of conditional actions is a special case of the theory of “instruments”, which describes changes of state due to general measurements and will therefore be briefly outlined in the present paper. As a detailed example, we consider the imperfect erasure of a qubit that can also be viewed as a conditional action and will be realized by the coupling of a spin to another small spin system in its ground state. MDPI 2021-02-26 /pmc/articles/PMC7996917/ /pubmed/33652928 http://dx.doi.org/10.3390/e23030289 Text en © 2021 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ).
spellingShingle Article
Schmidt, Heinz-Jürgen
Conditional Action and Imperfect Erasure of Qubits
title Conditional Action and Imperfect Erasure of Qubits
title_full Conditional Action and Imperfect Erasure of Qubits
title_fullStr Conditional Action and Imperfect Erasure of Qubits
title_full_unstemmed Conditional Action and Imperfect Erasure of Qubits
title_short Conditional Action and Imperfect Erasure of Qubits
title_sort conditional action and imperfect erasure of qubits
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7996917/
https://www.ncbi.nlm.nih.gov/pubmed/33652928
http://dx.doi.org/10.3390/e23030289
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