发表机构
Hunter College of the City University of New York; Graduate Center of the City University of New York（纽约城市大学亨特学院; 纽约城市大学研究生中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究在Charlie协助下，Alice和Bob对各自量子比特执行参数化双量子比特门，探讨直接发送与隐形传态两种纠缠方式，并分析局域校正操作的可行性条件。
AI 中文摘要
Alice和Bob各自拥有一个量子比特，他们希望在Charlie的协助下对这两个量子比特执行一个双量子比特门操作。该门的作用依赖于一个参数，这个参数要么是Charlie已知的，要么是稍后作为经典信息接收到的，要么是编码在程序状态中的。我们讨论了两种情况：一种是Alice和Bob将他们的量子比特发送给Charlie，Charlie将其与自己的状态纠缠；另一种是Alice和Bob利用隐形传态将他们的状态与Charlie的状态纠缠。所有这些过程都依赖于Alice和Bob能够应用依赖于Charlie测量结果的局域校正操作，我们讨论了在什么条件下这些操作是可行的。
英文摘要
Alice and Bob each have a qubit, and they would like to perform a two-qubit gate on them with the assistance of Charlie. The action of this gate depends on a parameter, which either Charlie knows, will receive later as classical information, or is encoded in a program state. We discuss both the case in which Alice and Bob send Charlie their qubits, which he entangles with his state, and the case where Alice and Bob use teleportation to entangle their states with Charlie's state. All of these procedures depend on the ability of Alice and Bob to apply local correction operations that depend on the results of measurements that Charlie makes, and we discuss under what conditions such operations are possible.
