基于部分随机测量的可扩展真正多体纠缠测试
Scalable Test of Genuine Multipartite Entanglement via Partially Randomized Measurements
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中文总结 AI 辅助
本文提出基于部分随机测量的关联张量子 sector 长度判据，避免测量数目随量子比特数指数增长，在离子阱量子计算机上成功认证真正五体纠缠。
中文摘要 AI 辅助
量子系统中真正多体纠缠的认证所需测量数目随系统规模呈指数增长。本文提出一种基于关联张量子 sector 长度（限制于局域测量平面）的判据，证明其可通过部分随机测量评估，无需随量子比特数呈指数依赖。推导了 k 可分态的对应边界，用典型多体纠缠态族说明该判据，最终在离子阱量子计算机上验证了该方法的实用性，成功认证真正五体纠缠。
英文摘要
Certifying genuine multipartite entanglement in quantum systems can require a number of measurements that grows exponentially with the system size. Here we introduce a criterion based on correlation-tensor subsector lengths restricted to local measurement planes and show that it can be evaluated using partially randomized measurements without an explicit exponential dependence on the number of qubits. We derive the corresponding bounds for $k$-separable states and illustrate the criterion using representative families of multipartite entangled states. Finally, we demonstrate the practical applicability of the method on an ion-trap quantum computer by certifying genuine five-partite entanglement.
