发表机构
University of Johannesburg（约翰内斯堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该协议利用预共享纠缠和黑盒设备，通过欧拉与卡坦分解组合基本操作，实现无需经典描述的任意两量子比特酉操作的盲远程执行。
AI 中文摘要
我们提出了一种利用预共享纠缠远程实现任意两量子比特酉操作的协议。在我们的协议中，Bob拥有一个未知的两量子比特态，而Alice使用校准的黑盒设备执行所需操作。Alice不需要知道这些操作的参数，Bob的未知态也从未离开他的实验室。该协议基于单量子比特酉操作的欧拉分解和两量子比特酉操作的卡坦分解。首先，我们利用预共享的贝尔态构建了单量子比特操作$U = R_z(\gamma)R_x(\beta)R_z(\alpha)$的远程实现协议。然后，我们利用单个预共享贝尔态构建了两量子比特操作$R_{zz}(\theta)$的协议，并通过局域酉变换将其扩展到$R_{xx}(\theta)$和$R_{yy}(\theta)$。这些基本协议最终被组合起来以实现任意两量子比特酉操作。第三方Charlie在协议开始前确定所需的分解，并向Alice提供相应的黑盒设备。因此，Alice和Bob都不需要该酉操作的经典描述。
英文摘要
We propose a protocol for the remote implementation of an arbitrary two-qubit unitary operation using pre-shared entanglement. In our protocol, Bob possesses an unknown two-qubit state, while Alice implements the required operations using calibrated black-box devices. Alice does not need to know the parameters of these operations, and Bob's unknown state never leaves his laboratory. The protocol is based on the Euler decomposition of single-qubit unitary operations and the Cartan decomposition of two-qubit unitary operations. First, we construct protocols for the remote implementation of the single-qubit operation $U = R_z(γ)R_x(β)R_z(α)$ using pre-shared Bell states. We then construct a protocol for the two-qubit operation $R_{zz}(θ)$ using a single pre-shared Bell state and extend it to $R_{xx}(θ)$ and $R_{yy}(θ)$ through local unitary transformations. These elementary protocols are finally combined to implement an arbitrary two-qubit unitary operation. A third party, Charlie, determines the required decomposition and provides Alice with the corresponding black-box devices before the protocol begins. Thus, neither Alice nor Bob requires the classical description of the unitary operation.
