发表机构
MasonQ; Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen（MasonQ; 哥本哈根大学尼尔斯·玻尔研究所混合量子网络中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出远程图态制备（RGSP）框架，直接从单个高维光子量子比特制备任意图态，减少服务器端纠缠操作，并在噪声下保持拓扑无关保真度，显著降低量子比特开销，实现资源高效的盲量子计算。
AI 中文摘要
基于测量的量子计算（MBQC）依赖于纠缠图态，然而现有的远程态制备（RSP）协议仅制备可分离态，需要在远程服务器上执行后续的纠缠门操作。在此，我们引入远程图态制备（RGSP），该框架可直接从单个高维光子量子比特（qudit）制备任意图态。通过将多个量子比特及其图连接编码到光子的结构化相位分布中，RGSP可以减少或（对于小型计算）完全消除服务器端量子比特间的纠缠操作需求。我们证明，在合理的噪声模型下，所得态保真度与图拓扑无关。在累积光纤相位漂移下，我们证明该保真度可通过“最高权重优先”模式重排序策略显著增强。最后，我们展示RGSP能够在任意拓扑上实现减少SWAP的通用盲量子计算，例如，对于六量子比特量子傅里叶变换，将标准砖墙拓扑所需的420个RSP量子比特减少至48个RSP量子比特。这些结果确立了RGSP作为量子安全云计算中资源高效、拓扑不变的基元。
英文摘要
Measurement-based quantum computation (MBQC) relies on entangled graph states, yet existing remote state preparation (RSP) protocols prepare only separable states, requiring subsequent entangling gates on the remote server. Here, we introduce Remote Graph State Preparation (RGSP), a framework that prepares arbitrary graph states directly from a single high-dimensional photonic qudit. By encoding multiple qubits and their graph connectivity into the photon's structured phase profile, RGSP can reduce or, for small computations, completely eliminate the need for server-side entangling operations among qubits. We show that under a reasonable noise model the resulting state fidelity is independent of the graph topology. Under cumulative fiber phase drift, we demonstrate that this fidelity is significantly enhanced by a ``highest-weight-first'' mode reordering strategy. Finally, we show that RGSP enables reduced-SWAP universal blind quantum computing on arbitrary topologies, reducing qubit overhead e.g., for a six-qubit Quantum Fourier Transform from $420$ RSP qubits with a standard brickwork topology to $48$ RSP qubits. These results establish RGSP as a resource-efficient, topology-invariant primitive for quantum-secured cloud computing.
