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math.OA2019
Planar algebras, quantum information theory and subfactors
Vijay Kodiyalam, Sruthymurali, V. S. Sunder
We define generalised notions of biunitary elements in planar algebras and show that objects arising in quantum information theory such as Hadamard matrices, quantum latin squares…
math.OA2019
Commuting squares and planar subalgebras
Keshab Chandra Bakshi, Vijay Kodiyalam
We show a close relationship between non-degenerate smooth commuting squares of -factors with all inclusions of finite index and inclusions of subfactor planar algebras by sh…
math.OA2019
On a presentation of the spin planar algebra
Vijay Kodiyalam, Sohan Lal Saini, Sruthymurali +1
We define a certain abstract planar algebra by generators and relations, study various aspects of its structure, and then identify it with Jones' spin planar algebra.