Comparison of information structures and completely positive maps
Comparison of information structures and completely positive maps
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信息结构与完全正图的比较
DOI：
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发表时间：
2004
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通讯作者：
E. Shmaya
中科院分区：
文献类型：
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作者：
E. Shmaya
本文给出了经典统计中Blackwell关于信息结构比较的一个定理，作为量子概率论中的一个类比。该定理为保迹完全正映射提供了一个操作解释，这是经典随机映射的自然量子模拟。该定理的证明依赖于凸集分离定理和量子隐形传态。
A theorem of Blackwell about comparison between information structures in classical statistics is given as an analogue in the quantum probabilistic set-up. The theorem provides an operational interpretation for trace-preserving completely positive maps, which are the natural quantum analogue of classical stochastic maps. The proof of the theorem relies on the separation theorem for convex sets and on quantum teleportation.