AI 中文总结
该研究确定了量子态合并纠缠成本的强逆指数，推导了纯化距离下部分平滑条件极小熵的强逆指数，明确了其与不同条件Rényi熵的关联。
AI 中文摘要
我们确定了量子态合并纠缠成本的强逆指数，表明其由优化后的α-z条件Rényi熵（z=α/2∈[1/2,1]）刻画，这与量子信息理论中通常支配强逆指数的夹层条件Rényi熵形成对比。由此，我们推导了纯化距离下部分平滑条件极小熵的强逆指数，该指数由俱乐部夹层条件熵支配，而全局平滑则会产生夹层表达式。
英文摘要
We determine the strong converse exponent for the entanglement cost of quantum state merging, showing that it is characterized by the optimized $α$-$z$ conditional Rényi entropies with $z=α/2\in[1/2,1]$. This contrasts with the sandwiched conditional Rényi entropies that typically govern strong converse exponents in quantum information theory. As a consequence, we derive the strong converse exponent of the partially smoothed conditional min-entropy in purified distance. This exponent is governed by club-sandwiched conditional entropies, whereas global smoothing leads to a sandwiched expression.
