论文标题
安全的多方量子计算与几个Qubit
Secure multi-party quantum computation with few qubits
论文作者
论文摘要
我们考虑在量子网络上安全多方分布式量子计算的任务。我们建议基于量子误差校正的协议，以减少必要的Qubits的数量。也就是说，我们协议中的每个$ n $节点都需要一个$ n^2+θ（s）n $ Qubits的操作工作空间，而不是先前显示的$ω\ big（（（n^3+n^2s^2s^2）\ log n \ big）$ s $是安全参数。为了实现通用计算，我们开发了一个分布式程序，用于基于魔术状态蒸馏和随机选择状态的统计测试来验证魔术状态。这使我们能够应用分布式$ t $门，并且可能具有独立的利益。我们在一个7节点网络的小示例上展示了我们的协议。
We consider the task of secure multi-party distributed quantum computation on a quantum network. We propose a protocol based on quantum error correction which reduces the number of necessary qubits. That is, each of the $n$ nodes in our protocol requires an operational workspace of $n^2+Θ(s) n$ qubits, as opposed to previously shown $Ω\big((n^3+n^2s^2)\log n\big)$ qubits, where $s$ is a security parameter. To achieve universal computation, we develop a distributed procedure for verifying magic states based on magic state distillation and statistical testing of randomly selected states. This allows us to apply distributed $T$ gate and which may be of independent interest. We showcase our protocol on a small example for a 7-node network.
