Entanglement in Non-local Games and the Hyperlinear Profile of Groups

被引：10

作者：

Slofstra, William ^{[1
]}

Vidick, Thomas ^{[2
]}

机构：

[1] Univ Waterloo, Dept Pure Math, Inst Quantum Comp, Waterloo, ON, Canada

[2] CALTECH, Dept Comp & Math Sci, Pasadena, CA 91125 USA

来源：

ANNALES HENRI POINCARE | 2018年 / 19卷 / 10期

关键词：

BELL INEQUALITIES;

D O I：

10.1007/s00023-018-0718-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We relate the amount of entanglement required to play linear system non-local games near-optimally to the hyperlinear profile of finitely presented groups. By calculating the hyperlinear profile of a certain group, we give an example of a finite non-local game for which the amount of entanglement required to play -optimally is at least O(1/ k), for some k > 0. Since this function approaches infinity as approaches zero, this provides a quantitative version of a theorem of the first author.

引用

页码：2979 / 3005

页数：27

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