The Volume of Two-Qubit States by Information Geometry

Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the clas...

Descripción completa

Detalles Bibliográficos
Autores principales: Rexiti, Milajiguli, Felice, Domenico, Mancini, Stefano
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512640/
https://www.ncbi.nlm.nih.gov/pubmed/33265237
http://dx.doi.org/10.3390/e20020146
_version_ 1783586204867887104
author Rexiti, Milajiguli
Felice, Domenico
Mancini, Stefano
author_facet Rexiti, Milajiguli
Felice, Domenico
Mancini, Stefano
author_sort Rexiti, Milajiguli
collection PubMed
description Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the classical Fisher metric on phase space probability representation of quantum states gives the same qualitative results with respect to different versions of the quantum Fisher metric.
format Online
Article
Text
id pubmed-7512640
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-75126402020-11-09 The Volume of Two-Qubit States by Information Geometry Rexiti, Milajiguli Felice, Domenico Mancini, Stefano Entropy (Basel) Article Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavior of the volume of sub-manifolds of separable and entangled states with fixed purity. We show that the usage of the classical Fisher metric on phase space probability representation of quantum states gives the same qualitative results with respect to different versions of the quantum Fisher metric. MDPI 2018-02-24 /pmc/articles/PMC7512640/ /pubmed/33265237 http://dx.doi.org/10.3390/e20020146 Text en © 2018 by the authors. 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/).
spellingShingle Article
Rexiti, Milajiguli
Felice, Domenico
Mancini, Stefano
The Volume of Two-Qubit States by Information Geometry
title The Volume of Two-Qubit States by Information Geometry
title_full The Volume of Two-Qubit States by Information Geometry
title_fullStr The Volume of Two-Qubit States by Information Geometry
title_full_unstemmed The Volume of Two-Qubit States by Information Geometry
title_short The Volume of Two-Qubit States by Information Geometry
title_sort volume of two-qubit states by information geometry
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512640/
https://www.ncbi.nlm.nih.gov/pubmed/33265237
http://dx.doi.org/10.3390/e20020146
work_keys_str_mv AT rexitimilajiguli thevolumeoftwoqubitstatesbyinformationgeometry
AT felicedomenico thevolumeoftwoqubitstatesbyinformationgeometry
AT mancinistefano thevolumeoftwoqubitstatesbyinformationgeometry
AT rexitimilajiguli volumeoftwoqubitstatesbyinformationgeometry
AT felicedomenico volumeoftwoqubitstatesbyinformationgeometry
AT mancinistefano volumeoftwoqubitstatesbyinformationgeometry

Ejemplares similares