发表机构
Ivan Franko National University of Lviv（利沃夫伊万·弗兰科大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文基于自旋关联推导秩二混合多量子比特态纠缠的解析表达式，并针对特定混合态构建量子协议，在模拟器和真实量子计算机上验证了理论预测。
AI 中文摘要
基于纠缠几何度量与自旋关联的关系，研究了混合态的纠缠几何度量。我们在二维希尔伯特子空间内，推导了由任意多量子比特纯态组成的秩二混合态纠缠的解析表达式。通过解析方法和量子计算，研究了秩二混合多量子比特态的纠缠对表征混合物中任意纯态参数的依赖关系。针对一类特殊的混合态，即任意多量子比特态与薛定谔猫态等概率混合的态，我们基于纠缠几何度量与自旋关联的关系，构建了检测该纠缠几何度量的量子协议。我们使用AerSimulator和ibm_marrakesh量子计算机对纠缠进行了量化，并分析了量子计算误差的影响。仿真结果重现了解析依赖关系，而量子设备上的测量结果在估计误差范围内与理论预测表现出良好的一致性。
英文摘要
The geometric measure of entanglement of mixed states is investigated based on its relation to spin correlations. We derive an analytical expression for the entanglement of rank-2 mixed states composed of arbitrary multiqubit pure states within a two-dimensional Hilbert subspace. The dependence of the entanglement of rank-2 mixed multiqubit states on the parameters characterizing arbitrary pure states in the mixture is studied both analytically and using quantum computing. For a particular class of mixed states, namely, equal-probability mixtures of an arbitrary multiqubit state and the Schrödinger cat state, we construct quantum protocols for detecting the geometric measure of entanglement based on its relation to spin correlations. We quantify the entanglement using both the AerSimulator and the ibm_marrakesh quantum computer. The effects of quantum-computing errors are also analyzed. The simulation results reproduce the analytical dependencies, while measurements on the quantum device demonstrate good agreement with theoretical predictions within estimated error bounds.
Comments12 pages, 7 figures
