AI 中文总结
该研究采用AR q-条件熵，发现因果菱形的类Unruh热效应可增强费米子W态非可分性，费米子非可分性比玻色子更鲁棒，GHZ态非可分性与粒子数N无关，为相对论量子信息处理提供了见解。
AI 中文摘要
我们采用Abe-Rajagopal (AR) q-条件熵，研究因果菱形时空中多体玻色子和费米子GHZ态、W态的非可分性。观测者的有限寿命会形成因果菱形视界，引发类Unruh热效应，导致N部分系统的非可分性发生非平凡重构。主要结果表明，该热效应可增强费米子W态的净非可分性，这与相对论热化会导致玻色子非可分性单调退化的普遍预期形成鲜明对比。此外，我们发现，在因果菱形限制下，费米子非可分性通常比玻色子对应物更具鲁棒性；在相同因果条件下，GHZ态比W态表现出更强的非可分性和更大的鲁棒性。我们进一步证明，在因果菱形时空中，W态的非可分性随粒子数N的增加而降低，而GHZ态的非可分性与N无关。这些结果表明，粒子统计、纠缠结构和观测者寿命共同决定了因果受限时空中非可分性的持续性，为相对论量子信息处理提供了见解。
英文摘要
We investigate the nonseparability of multipartite bosonic and fermionic $GHZ$ and $W$ states in a causal diamond spacetime using the Abe-Rajagopal (AR) $q$-conditional entropy. The finite lifetime of the observer gives rise to a causal diamond horizon, which induces an Unruh-like thermal effect and leads to a nontrivial restructuring of nonseparability in $N$-partite systems. Our main result is that the thermal effect can enhance a net nonseparability of fermionic $W$ states, in sharp contrast to the general expectation that relativistic thermalization leads to a monotonic degradation of bosonic nonseparability. In addition, we find that fermionic nonseparability is generally more robust than its bosonic counterpart under causal diamond restrictions. Among different entangled resources, $GHZ$ states exhibit stronger nonseparability and greater robustness than $W$ states under identical causal conditions. We further show that the nonseparability of $W$ states decreases with increasing particle number $N$, whereas that of $GHZ$ states remains independent of $N$ in causal diamond spacetime. These results demonstrate that particle statistics, entanglement structure, and observer lifetime jointly determine the persistence of nonseparability in causally restricted spacetimes, providing insights for relativistic quantum information processing.
Comments28 pages, 4 figures
