#  Seminar, Kaifeng Bu (Zhejiang University), de Finetti Theorems for Braiding Parafermions, J356 

 



####  calendar\_today Date and Time 

 **January 30, 2018** 

 04:00PM - 04:00PM EST 

####  pin\_drop Location 

 **Jefferson 356**  



 

 



 

   ![Kaifeng Bu](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/img_20171231_185517.jpg?itok=o1ZX78y0) 

 

 Title: de Finetti Theorems for Braiding Parafermions

 Abstract: The de Finetti theorem is a powerful tool relating symmetry under the permutation group and independence of random variables. It also plays a significant role in quantum information theory. We prove a new type of de Finetti theorem for the braid group acting on the parafermion algebra. We show that a braid-invariant state is extremal if and only if it is a product state. Furthermore, we provide an explicit characterization of braid-invariant states, such that the parafermion algebras generates a factor under the Gelfand-Naimark-Segal construction.

 ![bu](/sites/g/files/omnuum6611/files/mathpicture/files/bu.png)

 



 

 



 

 

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