AI 中文总结
研究利用超纠缠态实现量子远程控制，提出同时利用两比特超纠缠态的偏振和空间自由度的QRIO协议，通过线性光学元件等构建协议，分析测量误差影响并评估成功概率，结果显示该方案对混合量子通信等有应用潜力。
AI 中文摘要
量子远程控制，即量子操作的远程实现（QRIO），能通过在远处执行所需量子操作来远程操纵任意量子态。近期QRIO协议及其变体有显著进展。多数现有方案采用超纠缠态，其中纠缠在多个自由度（DOF）间共享，但通常一次仅利用一个自由度。本文提出一种QRIO协议，它同时利用两比特超纠缠态的偏振和空间自由度，在未知单光子两比特超态上远程实现任意混合算符。利用光子的偏振和空间模式实现共享超纠缠资源，用线性光学元件和交叉克尔非线性相互作用构建协议以促进有效的光子 - 光子耦合。此外，分析了有限相干态可区分性和相干态耗散引起的测量误差影响并评估了协议的相应成功概率。结果表明，适当选择交叉克尔相移和相干态幅度可显著提高协议性能，使该方案成为混合量子通信和分布式量子信息处理的有前景候选方案。
英文摘要
Quantum remote control, also known as quantum remote implementation of an operator (QRIO), enables the remote manipulation of an arbitrary quantum state by implementing a desired quantum operation at a distant location. Significant progress has recently been made in developing QRIO protocols and their variants. Most existing schemes employ hyperentangled states where entanglement is shared across multiple degrees of freedom (DOFs). However, these protocols typically exploit only one degree of freedom at a time. In this work, we propose a QRIO protocol that simultaneously utilizes the polarization and spatial DOFs of a two-qubit hyperentangled state to remotely implement an arbitrary hybrid operator on an unknown single-photon two-qubit hyperstate. The shared hyperentangled resource is realized using the polarization and spatial modes of photons, while the protocol is constructed using linear optical elements and cross-Kerr nonlinear interactions to facilitate effective photon-photon coupling. Furthermore, the effects of measurement errors arising from finite coherent state distinguishability and coherent state dissipation are analyzed and the corresponding success probability of the protocol is evaluated. The results demonstrate that an appropriate choice of the cross-Kerr phase shift and coherent state amplitude significantly enhances the protocol performance, making the proposed scheme a promising candidate for hybrid quantum communication and distributed quantum information processing.
Comments8 pages, 3 figures
