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 57.4 points for quality (as of July 1, 2025). The article contains 47 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 2025 the article "Density matrix" was edited by 3 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article "Density matrix", its content was written by 166 registered users of English Wikipedia and edited by 637 registered Wikipedia users in all languages.

The article is cited 565 times in English Wikipedia and cited 2212 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2546 in February 2003
  • Global: #6141 in February 2003

The highest popularity rank from 2008:

  • Local (English): #72307 in January 2019
  • Global: #96297 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, 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
1Chinese (zh)
密度矩陣
69.7495
2English (en)
Density matrix
57.3734
3German (de)
Dichteoperator
38.4601
4Swedish (sv)
Täthetsmatris
26.4496
5Japanese (ja)
密度行列
22.7959
6Spanish (es)
Estado mixto
21.3111
7Italian (it)
Operatore densità
20.7249
8Hebrew (he)
אופרטור הצפיפות
18.1639
9Romanian (ro)
Operator statistic
16.8099
10Russian (ru)
Матрица плотности
14.1374
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
1 945 116
2German (de)
Dichteoperator
306 294
3Russian (ru)
Матрица плотности
147 620
4Japanese (ja)
密度行列
139 812
5Chinese (zh)
密度矩陣
96 637
6Spanish (es)
Estado mixto
96 163
7French (fr)
Matrice densité
84 692
8Italian (it)
Operatore densità
64 696
9Polish (pl)
Macierz gęstości
59 325
10Korean (ko)
밀도 행렬
21 011
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 "Density matrix" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Density matrix
10 255
2Japanese (ja)
密度行列
749
3German (de)
Dichteoperator
744
4Russian (ru)
Матрица плотности
669
5Chinese (zh)
密度矩陣
552
6French (fr)
Matrice densité
320
7Italian (it)
Operatore densità
289
8Spanish (es)
Estado mixto
186
9Korean (ko)
밀도 행렬
94
10Polish (pl)
Macierz gęstości
90
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
166
2German (de)
Dichteoperator
93
3Italian (it)
Operatore densità
49
4Chinese (zh)
密度矩陣
45
5Russian (ru)
Матрица плотности
43
6French (fr)
Matrice densité
42
7Spanish (es)
Estado mixto
34
8Japanese (ja)
密度行列
34
9Polish (pl)
Macierz gęstości
24
10Hungarian (hu)
Sűrűségmátrix
14
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 "Density matrix" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Density matrix
3
2Armenian (hy)
Խառը վիճակ
2
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
565
2Chinese (zh)
密度矩陣
211
3Portuguese (pt)
Matriz densidade
185
4Arabic (ar)
مصفوفة الكثافة
184
5French (fr)
Matrice densité
157
6Korean (ko)
밀도 행렬
131
7Persian (fa)
ماتریس چگالی
126
8Romanian (ro)
Operator statistic
109
9Italian (it)
Operatore densità
80
10German (de)
Dichteoperator
74
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
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:
#72307
01.2019
Global:
#96297
01.2019

AI rank trends

Best Rank English:
#2546
02.2003
Global:
#6141
02.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Density matrix from Wikipedia articles about Lev Landau, Quantum state, 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, Born rule, Quantum state purification, Definite matrix 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):

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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