论文标题
逆转未知的QUBIT独立操作，确定性和准确
Reversing Unknown Qubit-Unitary Operation, Deterministically and Exactly
论文作者
论文摘要
我们报告了一个确定性和精确的协议，可以扭转任何未知的Qubit独立操作，该操作模拟了封闭量子系统的时间反转。为了避免在通用确定性确切的统一反转上进行的已知的NO-GO结果，我们考虑了在量子电路模型中转化未知单一操作的最通用的协议类别，其中输入单一操作以序列为顺序，并在呼叫之间插入固定的量子电路。在拟议的协议中，输入Qubit-Nittary操作称为4次以实现反操作，并且辅助系统中的输出状态可以在单一反转的另一项运行中重复使用为催化剂状态。我们还介绍了半决赛编程的简化，用于搜索M. T. Quintino和D. Ebler [Quantum $ \ textbf {6} $，679（2022）]的任意维度的最佳确定性单一反演协议。我们展示了一种减少代表所有可能协议的大搜索空间的方法，该方法为分析单一操作的高阶量子转换提供了有用的工具。
We report a deterministic and exact protocol to reverse any unknown qubit-unitary operation, which simulates the time inversion of a closed qubit system. To avoid known no-go results on universal deterministic exact unitary inversion, we consider the most general class of protocols transforming unknown unitary operations within the quantum circuit model, where the input unitary operation is called multiple times in sequence and fixed quantum circuits are inserted between the calls. In the proposed protocol, the input qubit-unitary operation is called 4 times to achieve the inverse operation, and the output state in an auxiliary system can be reused as a catalyst state in another run of the unitary inversion. We also present the simplification of the semidefinite programming for searching the optimal deterministic unitary inversion protocol for an arbitrary dimension presented by M. T. Quintino and D. Ebler [Quantum $\textbf{6}$, 679 (2022)]. We show a method to reduce the large search space representing all possible protocols, which provides a useful tool for analyzing higher-order quantum transformations for unitary operations.
