Bisynchronous Games and Factorizable Maps
Bisynchronous Games and Factorizable Maps
复制标题
双向游戏和可因式分解地图
DOI：
10.1007/s00023-020-01003-2
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
M. Rahaman
中科院分区：
文献类型：
--
作者：
V. Paulsen;M. Rahaman
我们引入了一类新的非局部对策和相应的密度，我们称之为双同步。双同步对策是同步对策的一个子类，当考虑对策的代数时，双同步对策表现出许多有趣的对称性。我们发展了这些非局部博弈与最近在图同构博弈研究中出现的量子群理论之间的密切联系。当输入的数目等于输出的数目时，我们证明了量子置换群上的迹产生了双同步密度。每个双同步密度产生一个完全正映射，我们证明了这些映射是可因式分解的映射。
We introduce a new class of non-local games and corresponding densities, which we callbisynchronous. Bisynchronous games are a subclass of synchronous games and exhibit many interesting symmetries when the algebra of the game is considered. We develop a close connection between these non-local games and the theory of quantum groups which recently surfaced in studies of graph isomorphism games. When the number of inputs is equal to the number of outputs, we prove that a bisynchronous density arises from a trace on the quantum permutation group. Each bisynchronous density gives rise to a completely positive map, and we prove that these maps are factorizable maps.
影响因子：
1.7
作者：
V. Paulsen;S. Severini;D. Stahlke;I. Todorov;A. Winter
通讯作者：
V. Paulsen;S. Severini;D. Stahlke;I. Todorov;A. Winter