Density matrix

en

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Density matrix

Quality:

Density matrix - matrix describing a quantum system in a pure or mixed state, a statistical mixture of quantum states. Article “Density matrix” in English Wikipedia has 58 points for quality (as of July 1, 2026). The article contains 49 references and 13 sections.

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

In June 2026 the article “Density matrix” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Density matrix”, its content was written by 168 registered users of English Wikipedia and edited by 652 registered Wikipedia users in all languages.

The article is cited 587 times in English Wikipedia and cited 2297 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2542 in February 2003
  • Global: #6134 in February 2003

The highest popularity rank from 2008:

  • Local (English): #72703 in January 2019
  • Global: #96565 in January 2019

There are 25 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, 2026 (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
1Chinese (zh)
密度矩陣
69.6337
2English (en)
Density matrix
58.0379
3German (de)
Dichteoperator
38.216
4Swedish (sv)
Täthetsmatris
25.3669
5Japanese (ja)
密度行列
22.6302
6Spanish (es)
Estado mixto
21.0224
7Italian (it)
Operatore densità
20.4194
8Hebrew (he)
אופרטור הצפיפות
17.6486
9Romanian (ro)
Operator statistic
16.7823
10Russian (ru)
Матрица плотности
14.158
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 "Density matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Density matrix
2 050 789
2German (de)
Dichteoperator
315 235
3Russian (ru)
Матрица плотности
158 321
4Japanese (ja)
密度行列
146 417
5Chinese (zh)
密度矩陣
102 069
6Spanish (es)
Estado mixto
98 633
7French (fr)
Matrice densité
88 674
8Italian (it)
Operatore densità
67 724
9Polish (pl)
Macierz gęstości
60 666
10Korean (ko)
밀도 행렬
21 647
More...

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

Most popular in June 2026

The most popular language versions of the article "Density matrix" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Density matrix
6 829
2Japanese (ja)
密度行列
522
3German (de)
Dichteoperator
491
4Chinese (zh)
密度矩陣
486
5Russian (ru)
Матрица плотности
388
6French (fr)
Matrice densité
263
7Italian (it)
Operatore densità
161
8Spanish (es)
Estado mixto
119
9Polish (pl)
Macierz gęstości
112
10Hebrew (he)
אופרטור הצפיפות
47
More...

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

The highest AI

Language versions of the article "Density matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Density matrix
168
2German (de)
Dichteoperator
94
3Italian (it)
Operatore densità
50
4Chinese (zh)
密度矩陣
47
5French (fr)
Matrice densité
43
6Russian (ru)
Матрица плотности
43
7Spanish (es)
Estado mixto
35
8Japanese (ja)
密度行列
35
9Polish (pl)
Macierz gęstości
24
10Hungarian (hu)
Sűrűségmátrix
15
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 2026

Language versions of the article "Density matrix" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Density matrix
1
2Portuguese (pt)
Matriz densidade
1
3Chinese (zh)
密度矩陣
1
4Arabic (ar)
مصفوفة الكثافة
0
5Catalan (ca)
Matriu densitat
0
6Czech (cs)
Operátor hustoty
0
7German (de)
Dichteoperator
0
8Spanish (es)
Estado mixto
0
9Basque (eu)
Matriz dentsitate
0
10Persian (fa)
ماتریس چگالی
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 "Density matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Density matrix
587
2Chinese (zh)
密度矩陣
230
3Portuguese (pt)
Matriz densidade
203
4Arabic (ar)
مصفوفة الكثافة
183
5Korean (ko)
밀도 행렬
166
6French (fr)
Matrice densité
161
7Persian (fa)
ماتریس چگالی
131
8Romanian (ro)
Operator statistic
107
9Italian (it)
Operatore densità
78
10German (de)
Dichteoperator
71
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مصفوفة الكثافة
caCatalan
Matriu densitat
csCzech
Operátor hustoty
deGerman
Dichteoperator
enEnglish
Density matrix
esSpanish
Estado mixto
euBasque
Matriz dentsitate
faPersian
ماتریس چگالی
fiFinnish
Tiheysmatriisi
frFrench
Matrice densité
heHebrew
אופרטור הצפיפות
huHungarian
Sűrűségmátrix
hyArmenian
Խառը վիճակ
idIndonesian
Matriks densitas
itItalian
Operatore densità
jaJapanese
密度行列
koKorean
밀도 행렬
nlDutch
Dichtheidsmatrix
plPolish
Macierz gęstości
ptPortuguese
Matriz densidade
roRomanian
Operator statistic
ruRussian
Матрица плотности
svSwedish
Täthetsmatris
ukUkrainian
Матриця густини
zhChinese
密度矩陣

Popularity rank trends

Best Rank English:
#72703
01.2019
Global:
#96565
01.2019

AI rank trends

Best Rank English:
#2542
02.2003
Global:
#6134
02.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Density matrix from Wikipedia articles about Quantum state, Lev Landau, Von Neumann entropy, Statistical mechanics and Liouvilles theorem. Whereas reading the article about Density matrix people most often go to Wikipedia articles on Quantum state, Quantum state purification, Definite matrix, Quantum entanglement and Liouvilles theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information