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University of Cambridge > Talks.cam > Computer Laboratory Wednesday Seminars > Graphical Reasoning in Symmetric Monoidal Categories

## Graphical Reasoning in Symmetric Monoidal CategoriesAdd to your list(s) Download to your calendar using vCal - Lucas Dixon - University of Edinburgh
- Wednesday 27 January 2010, 14:15-15:15
- Lecture Theatre 1, Computer Laboratory.
If you have a question about this talk, please contact Mateja Jamnik. Symmetric monoidal categories capture the basic structure of a variety of important domains, including quantum computations. An important feature is that they have a natural visual presentation that is similar to traditional circuit diagrams. Additional structure specific to a domain, such as quantum information, is sometimes captured as equations between diagrams. Informally, such equations may involve ‘ellipses’-notation (as in the “1 … n” notation used for a list of numbers from 1 to n). I will describe how such notation in graphs can be made amenable to computer-aided manipulation, why this is important, and the interesting structural properties that result. I will illustrate the graphical language applied to quantum computations and boolean circuits. Finally, I will show how this can be used to perform a graphical version of symbolic proof and computation. This talk is part of the Computer Laboratory Wednesday Seminars series. ## This talk is included in these lists:- All Talks (aka the CURE list)
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- Lecture Theatre 1, Computer Laboratory
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