We propose a scheme for a high-dimensional nonlocal controlled quantum computation network. A client with limited quantum technology can control a distributed computation between two quantum servers in a secure manner, such that the client's computational information remains private. We define a measure to quantify the client's control power when performing nonlocal quantum gates. We find that, given the same channel resources, the client's control power over nonlocal quantum gate operations between quantum servers is much greater than that of quantum state transfer between quantum servers. Our scheme prevents quantum servers in the network from stealing each other's information or jointly stealing the client's information. Our protocol provides new avenues for building quantum computing networks and methods to develop the resource theory of quantum channels.

中文翻译：

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高维受控非局部量子计算的控制力

我们提出了一种用于高维非局部控制量子计算网络的方案。具有有限量子技术的客户端可以安全方式控制两个量子服务器之间的分布式计算，从而使客户端的计算信息保持私有。我们定义一种措施，以量化执行非本地量子门时客户的控制能力。我们发现，在相同的信道资源的情况下，客户端对量子服务器之间非本地量子门操作的控制权远大于量子服务器之间的量子状态转移。我们的方案可以防止网络中的量子服务器窃取彼此的信息或共同窃取客户端的信息。