[Alta-Logic] Peripatetic Seminar

[Benjamin MacAdam]

Speaker: Priyaa Srinivasan

Date and time: Saturday, October 12th, 2019 at 15:00

Location: ICT 616

Title: Dagger linear monoids in dagger LDCs

Abstract: Categorical quantum mechanics describes quantum observable as dagger Frobenius Algebra with extra properties in the category of finite-dimensional Hilbert Spaces. In this talk, I will generalize the notion of dagger Frobenius Algebras to dagger linearly distributive categories (dagger-LDCs). We call the dagger Frobenius Algebras in this setting as dagger linear monoids. We observe that in the setting symmetric dagger LDCs,  a dagger linear dual gives rise to endomorphism monoids (usually referred to as the pants monoid) for which the multiplication is anti-isomorphic to the dagger of the comultiplication. Finally, we examine the conditions under which the anti-isomorphic pants monoid coincides with the usual pants monoid in a unitary category.

http://peripatetic-seminar.cpsc.ucalgary.ca/wp/


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