EPR导引边界来自一个普适谱方程
EPR-steering boundaries from a universal spectral equation
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- Nankai University（南开大学）
- National University of Singapore（新加坡国立大学）
- National Institute of Education, Nanyang Technological University（南洋理工大学国立教育学院）
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中文总结 AI 辅助
通过普适谱方程求解隐态系综，确定任意有限维双粒子系统的EPR导引边界，并给出量子比特的精确公式及Bowles态的单向区间。
中文摘要 AI 辅助
我们从一个普适谱方程确定了EPR导引边界，该方程适用于远程条件制备背后的共同隐态系综。在任意有限维双粒子系统中，其解给出系综权重，极限质量等于导引尺度。对于量子比特，代数和积分公式消除了测量变量并解析了结果划分，使得投影和广义测量尺度在所有参数下都能精确评估。进一步的解析解在偏置、各向异性态域上重构了最优隐态分布。沿一个显式族，投影导引容忍的白噪声减半，而边界负性保持在$1/8$。对于原始Bowles态，我们获得了任意测量下的完整单向区间。
英文摘要
We determine EPR-steering boundaries from a universal spectral equation for the common hidden-state ensemble underlying remote conditional preparations. In arbitrary finite-dimensional bipartite systems, its solution gives the ensemble weights, with limiting mass equal to the steering scale. For qubits, algebraic and integral formulas eliminate measurement variables and resolve outcome partitions, making both projective and generalized-measurement scales exactly evaluable at all parameters. Further analytical solution reconstructs the optimal hidden-state distribution on a domain of biased, anisotropic states. Along an explicit family, the white noise tolerated by projective steering halves while the boundary negativity stays at $1/8$. For the original Bowles states, we obtain the complete one-way interval under arbitrary measurements.
