Planar algebras, quantum information theory and subfactors

Kodiyalam, Vijay ; Sruthymurali, . ; Sunder, V. S. (2019) Planar algebras, quantum information theory and subfactors International Journal of Mathematics, 31 (4). ISSN 0129-167X

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Official URL: http://doi.org/10.1142/S0129167X20501244

Related URL: http://dx.doi.org/10.1142/S0129167X20501244

Abstract

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 and unitary error bases are all given by biunitary elements in the spin planar algebra. We show that there are natural subfactor planar algebras associated with biunitary elements.

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ID Code:123870
Deposited On:19 Oct 2021 07:49
Last Modified:19 Oct 2021 07:49

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