Quantum one-way versus classical two-way communication in XOR games

被引：0
|
作者：
Amr, Abderraman [1 ]
Villanueva, Ignacio [1 ,2 ]
机构：
[1] Univ Complutense Madrid, Dept Anal Matemat & Matemat Aplicada, Madrid, Spain
[2] Inst Ciencias Matemat ICMAT, Madrid, Spain
来源：
QUANTUM INFORMATION PROCESSING | 2021年 / 20卷 / 02期
关键词：
XOR games; Communication complexity; Tensor norms; VIOLATION;
D O I：
10.1007/s11128-021-03014-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we give an example of exponential separation between quantum and classical resources in the setting of XOR games assisted with communication. Specifically, we show an example of a XOR game for which O(n) bits of two-way classical communication are needed in order to achieve the same value as can be attained with log n qubits of one-way communication. We also find a characterization for the value of a XOR game assisted with a limited amount of two-way communication in terms of tensor norms of normed spaces.
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页数：17
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