Completely positive map

en

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Completely positive map

Quality:

Completely positive map - C*-algebra mapping preserving positive elements. Article "Completely positive map" in English Wikipedia has 12.3 points for quality (as of July 1, 2025). The article contains 2 references and 5 sections. The article also contains quality flaw template, which reduce quality score.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Completely positive map", its content was written by 17 registered users of English Wikipedia and edited by 25 registered Wikipedia users in all languages.

The article is cited 38 times in English Wikipedia and cited 60 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #208446 in July 2015
  • Global: #527603 in July 2013

The highest popularity rank from 2008:

  • Local (English): #755734 in October 2022
  • Global: #1251704 in November 2023

There are 3 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Vollständig positiver Operator
28.4312
2Portuguese (pt)
Mapa completamente positivo
13.9001
3English (en)
Completely positive map
12.2568
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Completely positive map" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Completely positive map
96 961
2German (de)
Vollständig positiver Operator
6 847
3Portuguese (pt)
Mapa completamente positivo
302
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Completely positive map" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Completely positive map
942
2German (de)
Vollständig positiver Operator
21
3Portuguese (pt)
Mapa completamente positivo
9
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Completely positive map" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Completely positive map
17
2German (de)
Vollständig positiver Operator
7
3Portuguese (pt)
Mapa completamente positivo
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Completely positive map" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Vollständig positiver Operator
0
2English (en)
Completely positive map
0
3Portuguese (pt)
Mapa completamente positivo
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Completely positive map" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Completely positive map
38
2German (de)
Vollständig positiver Operator
18
3Portuguese (pt)
Mapa completamente positivo
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Vollständig positiver Operator
enEnglish
Completely positive map
ptPortuguese
Mapa completamente positivo

Popularity rank trends

Best Rank English:
#755734
10.2022
Global:
#1251704
11.2023

AI rank trends

Best Rank English:
#208446
07.2015
Global:
#527603
07.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Completely positive map from Wikipedia articles about Quantum channel, Quantum operation, Chois theorem on completely positive maps, Stinespring factorization theorem and No-communication theorem. Whereas reading the article about Completely positive map people most often go to Wikipedia articles on Chois theorem on completely positive maps, C*-algebra, Positive element, Stinespring factorization theorem and State.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information