论文标题
福利码代码的多玩家，多团队的非本地游戏
A multi-player, multi-team nonlocal game for the toric code
论文作者
论文摘要
非本地游戏对纠缠量子状态产生了异常的观点。这样的游戏的定义属性是，一组与古典物理学所允许的可能性更高的纠缠状态的玩家可以赢得该游戏的可能性。在这里，我们构建了一个非本地游戏，如果$ 2N $的玩家可以在许多量子位上访问紫杉代码的基础状态，则可以肯定地赢得$ 2N $。相比之下，在大$ n $限制中，古典玩家无法赢得一半以上的比赛。我们的游戏与以前的示例有所不同，因为它将玩家安排在晶格上，并允许他们在团队中进行量子操作，他们的组成是动态指定的。当试图表征非平凡多体状态的量子程度时，这是很自然的，这可能在物质阶段比复的守则更为多样化。我们将福利码游戏的概括性介绍给具有$ \ mathbb {z} _m $拓扑顺序的状态。
Nonlocal games yield an unusual perspective on entangled quantum states. The defining property of such games is that a set of players in joint possession of an entangled state can win the game with higher probability than is allowed by classical physics. Here we construct a nonlocal game that can be won with certainty by $2N$ players if they have access to the ground state of the toric code on as many qubits. By contrast, the game cannot be won by classical players more than half the time in the large $N$ limit. Our game differs from previous examples because it arranges the players on a lattice and allows them to carry out quantum operations in teams, whose composition is dynamically specified. This is natural when seeking to characterize the degree of quantumness of non-trivial many-body states, which potentially include states in much more varied phases of matter than the toric code. We present generalizations of the toric code game to states with $\mathbb{Z}_M$ topological order.
