Difference between revisions of "Monoidal category"
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{{WikiEntry|key=Monoidal Category|qCode=1945014}} is a category that admits [[tensor product]]s. It is an important construct that has significant applications in various fields. In particularly, [[Bob Coecke]]'s work on [[Picturing Quantum Processes]] and [[Quantum Natural Language Processing]] make extensive use of [[Monoidal Category]]. That means it has direct application to compilation and interpretation of complex information systems, that covers almost any engineered system of practical interesting. Richard Berchard has a video on [[Monoidal Category]]<ref>{{:Video/Categories 6 Monoidal categories}}</ref>: | {{WikiEntry|key=Monoidal Category|qCode=1945014}} is a category that admits [[tensor product]]s. It is an important construct that has significant applications in various fields. In particularly, [[Bob Coecke]]'s work on [[Book/Picturing Quantum Processes|Picturing Quantum Processes]]<ref>{{:Book/Picturing Quantum Processes}}</ref> and [[Quantum Natural Language Processing]]<ref>{{:Video/Quantum Natural Language Processing}}</ref> make extensive use of [[Monoidal Category]]. That means it has direct application to compilation and interpretation of complex information systems, that covers almost any engineered system of practical interesting. Richard Berchard has a video on [[Monoidal Category]]<ref>{{:Video/Categories 6 Monoidal categories}}</ref>: | ||
There are a few variations of monoidal categories: | There are a few variations of monoidal categories: | ||
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=Braided Monoidal Category= | =Braided Monoidal Category= | ||
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[[Category:Category Theory]] | |||
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Revision as of 08:25, 20 March 2022
Monoidal Category(Q1945014) is a category that admits tensor products. It is an important construct that has significant applications in various fields. In particularly, Bob Coecke's work on Picturing Quantum Processes[1] and Quantum Natural Language Processing[2] make extensive use of Monoidal Category. That means it has direct application to compilation and interpretation of complex information systems, that covers almost any engineered system of practical interesting. Richard Berchard has a video on Monoidal Category[3]:
There are a few variations of monoidal categories:
Symmetrical Monoidal Category
Braided Monoidal Category
References
- ↑ Coecke, Bob; Kissinger, Aleks (2017). Picturing Quantum Processes. local page: Cambridge University Press. ISBN 978-1316219317.
- ↑ Video/Quantum Natural Language Processing
- ↑ Borcherds, Richard (Oct 10, 2021). Categories 6 Monoidal categories. local page: Richard E. BORCHERDS.