Belavkin-Staszewski相对熵的弱拟因子分解
Weak quasi-factorization for the Belavkin-Staszewski relative entropy
摘要：
相对熵的拟因式分解不等式是量子自旋系统修正对数Sobolev不等式的现代证明中的基础。本文给出了Belavkin-Staszewski相对熵的弱拟因式分解的一些结果，即两个二分态之间的BS-熵的上界是由两个条件BS-熵之和表示的，直到某些乘性和加性因子.
英文摘要：
Quasi-factorization-type inequalities for the relative entropy have recently proven to be fundamental in modern proofs of modified logarithmic Sobolev inequalities for quantum spin systems. In this paper, we show some results of weak quasi-factorization for the Belavkin-Staszewski relative entropy, i.e. upper bounds for the BS-entropy between two bipartite states in terms of the sum of two conditional BS-entropies, up to some multiplicative and additive factors.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
