Cargando…
Transformations of superpositions by means of incoherent operations
In this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformati...
Autores principales: | , , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2020
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7237687/ https://www.ncbi.nlm.nih.gov/pubmed/32427959 http://dx.doi.org/10.1038/s41598-020-63661-w |
_version_ | 1783536379977793536 |
---|---|
author | Losada, Marcelo Bosyk, Gustavo M. Freytes, Hector Sergioli, Giuseppe |
author_facet | Losada, Marcelo Bosyk, Gustavo M. Freytes, Hector Sergioli, Giuseppe |
author_sort | Losada, Marcelo |
collection | PubMed |
description | In this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations. In this situation, we analyze conditions for the existence of superpositions of the initial states that can be transformed into superpositions of the final states. In particular, we consider superpositions formed by quantum states belonging to orthogonal subspaces. By appealing to the majorization theory, we obtain necessary and sufficient conditions for such transformations to be possible. Finally, we provide some examples that illustrate the difference between the obtained conditions and the necessary criterion based on the relative entropy of coherence. |
format | Online Article Text |
id | pubmed-7237687 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-72376872020-05-29 Transformations of superpositions by means of incoherent operations Losada, Marcelo Bosyk, Gustavo M. Freytes, Hector Sergioli, Giuseppe Sci Rep Article In this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations. In this situation, we analyze conditions for the existence of superpositions of the initial states that can be transformed into superpositions of the final states. In particular, we consider superpositions formed by quantum states belonging to orthogonal subspaces. By appealing to the majorization theory, we obtain necessary and sufficient conditions for such transformations to be possible. Finally, we provide some examples that illustrate the difference between the obtained conditions and the necessary criterion based on the relative entropy of coherence. Nature Publishing Group UK 2020-05-19 /pmc/articles/PMC7237687/ /pubmed/32427959 http://dx.doi.org/10.1038/s41598-020-63661-w Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Losada, Marcelo Bosyk, Gustavo M. Freytes, Hector Sergioli, Giuseppe Transformations of superpositions by means of incoherent operations |
title | Transformations of superpositions by means of incoherent operations |
title_full | Transformations of superpositions by means of incoherent operations |
title_fullStr | Transformations of superpositions by means of incoherent operations |
title_full_unstemmed | Transformations of superpositions by means of incoherent operations |
title_short | Transformations of superpositions by means of incoherent operations |
title_sort | transformations of superpositions by means of incoherent operations |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7237687/ https://www.ncbi.nlm.nih.gov/pubmed/32427959 http://dx.doi.org/10.1038/s41598-020-63661-w |
work_keys_str_mv | AT losadamarcelo transformationsofsuperpositionsbymeansofincoherentoperations AT bosykgustavom transformationsofsuperpositionsbymeansofincoherentoperations AT freyteshector transformationsofsuperpositionsbymeansofincoherentoperations AT sergioligiuseppe transformationsofsuperpositionsbymeansofincoherentoperations |