Planar algebras, quantum information theory and subfactors

被引：4

作者：

Kodiyalam, Vijay ^{[1
]}

Sruthymurali ^{[1
,2
]}

Sunder, V. S. ^{[1
]}

机构：

[1] Homi Bhabha Natl Inst, Inst Math Sci, Mumbai, Maharashtra, India

[2] Chennai Math Inst, Chennai, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2020年 / 31卷 / 14期

关键词：

Planar algebra; quantum information theory; subfactor; biunitary; spin planar algebra;

D O I：

10.1142/S0129167X20501244

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define generalized 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.

引用

页数：21

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