Penrose graphical notation
In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose in 1971. A diagram in the notation consists of several shapes linked together by lines. The notation has been studied extensively by Predrag Cvitanović, who used it to classify the classical Lie groups. It has also been generalized using representation theory to spin networks in physics, and with the presence of matrix groups to trace diagrams in linear algebra. The notation widely appears in modern quantum theory, particularly in matrix product states and quantum circuits.
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Abstract index notationAngular momentum diagrams (quantum mechanics)Bob CoeckeBraided vector spaceCategorical quantum mechanicsDiagrammatic NotationEinstein notationGraphic notationHistory of mathematical notationIndex of physics articles (P)Kronecker deltaLanguage of mathematicsList of British innovations and discoveriesMathematical notationPenrose's graphical notationPenrose diagrammatic notationPredrag CvitanovićQuantum circuitQuantum teleportationRicci calculusRoger PenroseSpin networkTensorTensor diagram notationTrace diagramZX-calculus
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Penrose graphical notation
In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose in 1971. A diagram in the notation consists of several shapes linked together by lines. The notation has been studied extensively by Predrag Cvitanović, who used it to classify the classical Lie groups. It has also been generalized using representation theory to spin networks in physics, and with the presence of matrix groups to trace diagrams in linear algebra. The notation widely appears in modern quantum theory, particularly in matrix product states and quantum circuits.
has abstract
En matemáticas y física, la no ...... para redes de espín en física.
@es
In mathematics and physics, Pe ...... t states and quantum circuits.
@en
数学や物理学において、ペンローズのグラフ記法(Penrose ...... スダイアグラムに対する行列群の存在とともに一般化されてきた。
@ja
數學與物理學中,潘洛斯圖形符號(英語:Penrose gra ...... 法也被推廣至物理學中的自旋網路,以及線性代數中矩陣群相關的。
@zh
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994,965,086
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En matemáticas y física, la no ...... para redes de espín en física.
@es
In mathematics and physics, Pe ...... t states and quantum circuits.
@en
数学や物理学において、ペンローズのグラフ記法(Penrose ...... スダイアグラムに対する行列群の存在とともに一般化されてきた。
@ja
數學與物理學中,潘洛斯圖形符號(英語:Penrose gra ...... 法也被推廣至物理學中的自旋網路,以及線性代數中矩陣群相關的。
@zh
label
Notación gráfica de Penrose
@es
Penrose graphical notation
@en
Penrosesche graphische Notation
@de
ペンローズのグラフ記法
@ja
潘洛斯圖形符號
@zh