发表机构
Department of Electrical Engineering, Faculty of Engineering, Islamic University of Madinah（麦地那伊斯兰大学工程学院电气工程系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过结合PPT准则与结构映射，精确刻画了二分量子比特束缚纠缠的几何边界与可行域，并证明该族推广了Horodecki态，其束缚纠缠区域占PPT叶面积的14.76%。
AI 中文摘要
我们通过结合正部分转置（PPT）准则与一个结构性的非完全正映射，刻画了二分量子比特系统中的束缚纠缠。聚焦于一个全面的三参数二分量子比特族 $\rho_{a,b,c}$，我们给出了物理状态空间单纯形的精确解析与几何划分。我们推导出控制叶状PPT区域的闭式二次边界 $(a^2+ab+b^2-b \leq 0)$，其定义域为 $0 < a \leq \frac{1}{3}$，并确定了刻画PPT束缚纠缠子区域的精确线性阈值 $(a > c)$。该族严格推广了著名的Horodecki束缚纠缠态，后者仅作为三维叶的一个切片出现。将结构映射应用于此分解，我们证明它在整个阈值区域内认证束缚纠缠，占全部PPT叶面积的$14.76\\%$。
英文摘要
We characterize bound entanglement in bipartite qutrit systems by combining the Positive Partial Transpose (PPT) criterion with a structural, non-completely positive map. Focusing on a comprehensive three-parameter bipartite qutrit family $ρ_{a,b,c}$, we present an exact analytical and geometric partitioning of the physical state space simplex. We derive the closed-form quadratic boundary governing the leaf-like PPT region $(a^2+ab+b^2-b \leq 0)$ over the domain $0 < a \leq \frac{1}{3}$, and identify the exact linear threshold $(a > c)$ that characterizes the PPT bound entangled sub-region. This family strictly generalizes the well-known Horodecki bound entangled states, which appear as a single slice of the three-dimensional leaf. Applying the structural map to this decomposition, we show that it certifies bound entanglement throughout the entire threshold region, accounting for $14.76\%$ of the total PPT leaf area.
Comments14 pages, 2 figures, comments welcome
