Unified framework to determine Gaussian states in continuous-variable systems

Fil: Nicacio, Fernando. Universidade Federal do Rio de Janeiro. Instituto de Física; Brazil.

Detalles Bibliográficos
Autores principales: Nicacio, Fernando, Valdés-Hernández, Andrea, Majtey, Ana Paula, Toscano, Fabricio
Otros Autores: https://orcid.org/0000-0002-9733-1521
Formato: publishedVersion article
Lenguaje:Inglés
Publicado: 2024
Materias:
Bosonic Gaussian states
Entanglement
Acceso en línea:http://hdl.handle.net/11086/551550
https://doi.org/10.1103/PhysRevA.96.042341
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-551550
record_format dspace
spelling I10-R141-11086-5515502024-04-25T12:51:12Z Unified framework to determine Gaussian states in continuous-variable systems Nicacio, Fernando Valdés-Hernández, Andrea Majtey, Ana Paula Toscano, Fabricio https://orcid.org/0000-0002-9733-1521 https://orcid.org/0000-0001-5447-8032 https://orcid.org/0000-0001-8398-8541 Bosonic Gaussian states Entanglement info:eu-repo/semantics/publishedVersion Fil: Nicacio, Fernando. Universidade Federal do Rio de Janeiro. Instituto de Física; Brazil. Fil: Valdés-Hernández, Andrea. Universidad Nacional Autónoma de México. Instituto de Física; México. Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Majtey, Ana Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro. Instituto de Física; Brazil. Gaussian states are the backbone of quantum information protocols with continuous-variable systems whose power relies fundamentally on the entanglement between the different modes. In the case of global pure states, knowledge of the reduced states in a given bipartition of a multipartite quantum system bears information on the entanglement in such bipartition. For Gaussian states, the reduced states are also Gaussian, so their determination requires essentially the experimental determination of their covariance matrix. Here we develop strategies to determine the covariance matrix of an arbitrary n-mode bosonic Gaussian state through measurement of the total phase acquired when appropriate metaplectic evolutions, associated with quadratic Hamiltonians, are applied. Simply one-mode metaplectic evolutions, such rotations, squeezing, and shear transformations, in addition to a single two-mode rotation, allows us to determine all the covariance matrix elements of an n-mode bosonic system. All the single-mode metaplectic evolutions are applied conditionally to a state in which an ancilla qubit is entangled with the n-mode system. The ancillary system provides, after measurement, the value of the total phase of each evolution. The proposed method is experimentally suited to implement in the most currently used continuous-variable systems. info:eu-repo/semantics/publishedVersion Fil: Nicacio, Fernando. Universidade Federal do Rio de Janeiro. Instituto de Física; Brazil. Fil: Valdés-Hernández, Andrea. Universidad Nacional Autónoma de México. Instituto de Física; México. Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Majtey, Ana Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro. Instituto de Física; Brazil. Otras Ciencias Físicas 2024-04-23T12:54:21Z 2024-04-23T12:54:21Z 2017 article Nicacio, F., Valdés-Hernández, A., Majtey, A. P. y Toscano, F. (2017). Unified framework to determine Gaussian states in continuous-variable systems. Physical Review A, 96 (4), 042341. https://doi.org/10.1103/PhysRevA.96.042341 http://hdl.handle.net/11086/551550 https://doi.org/10.1103/PhysRevA.96.042341 eng Attribution-NonCommercial-NoDerivs 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ e-ISSN 2469-9934 ISSN: 2469-9926
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Bosonic Gaussian states
Entanglement
spellingShingle Bosonic Gaussian states
Entanglement
Nicacio, Fernando
Valdés-Hernández, Andrea
Majtey, Ana Paula
Toscano, Fabricio
Unified framework to determine Gaussian states in continuous-variable systems
topic_facet Bosonic Gaussian states
Entanglement
description Fil: Nicacio, Fernando. Universidade Federal do Rio de Janeiro. Instituto de Física; Brazil.
author2 https://orcid.org/0000-0002-9733-1521
author_facet https://orcid.org/0000-0002-9733-1521
Nicacio, Fernando
Valdés-Hernández, Andrea
Majtey, Ana Paula
Toscano, Fabricio
format publishedVersion
article
author Nicacio, Fernando
Valdés-Hernández, Andrea
Majtey, Ana Paula
Toscano, Fabricio
author_sort Nicacio, Fernando
title Unified framework to determine Gaussian states in continuous-variable systems
title_short Unified framework to determine Gaussian states in continuous-variable systems
title_full Unified framework to determine Gaussian states in continuous-variable systems
title_fullStr Unified framework to determine Gaussian states in continuous-variable systems
title_full_unstemmed Unified framework to determine Gaussian states in continuous-variable systems
title_sort unified framework to determine gaussian states in continuous-variable systems
publishDate 2024
url http://hdl.handle.net/11086/551550
https://doi.org/10.1103/PhysRevA.96.042341
work_keys_str_mv AT nicaciofernando unifiedframeworktodeterminegaussianstatesincontinuousvariablesystems
AT valdeshernandezandrea unifiedframeworktodeterminegaussianstatesincontinuousvariablesystems
AT majteyanapaula unifiedframeworktodeterminegaussianstatesincontinuousvariablesystems
AT toscanofabricio unifiedframeworktodeterminegaussianstatesincontinuousvariablesystems
_version_ 1806948749856997376

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