Penrose graphical notation
Graphical notation for multilinear algebra calculations
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.
Nº Q2069216 ★
Common · Knowledge
Penrose graphical notation
Graphical notation for multilinear algebra calculations
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.
From Wikipedia
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 widely appears in modern quantum theory, particularly in matrix product states and quantum circuits. In particular, categorical quantum mechanics (which includes ZX-calculus) is a fully comprehensive reformulation of quantum theory in terms of Penrose diagrams. The notation has been studied extensively by Predrag Cvitanović, who used it, along with Feynman's diagrams and other related notations in developing "birdtracks", a group-theoretical diagram to classify the classical Lie groups. Penrose's notation 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.
Text: Wikipédia, CC BY-SA 4.0. ·
Related cards
-
ZX-calculus
Graphical language for quantum processes
Nº Q63888551 ★
Not listed
-
A
Abstract index notation
Mathematical notation for tensors and spinors
Nº Q1166872 ★
Not listed
-
R
Ricci calculus
Tensor index notation for tensor-based calculations
Nº Q7322955 ★
Not listed
-
O
Oliver Penrose
British physicist, mathematician
Nº Q339385 ★
Not listed
-
F
Fitch notation
Notational system for constructing formal proofs
Nº Q1142450 ★
Not listed
-
S
Shadows of the Mind
Essay by Roger Penrose
Nº Q2231619 ★★
Not listed