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arXiv 0704.0046quant-phcs.ITmath.IT
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熵与单位代价信道容量的极限关系

A limit relation for entropy and channel capacity per unit cost

I. Csiszar, F. Hiai, D. Petz

摘要:

在量子力学模型中,Diosi、Feldmann和Kosloff提出了一个猜想,即当系统大小达到无穷大时,某些混合物的熵极限是相对熵。本文对密度矩阵证明了这个猜想。第一个证明是解析的,使用了量子大数定律。第二部分阐明了经典量子信道的单位成本信道容量的关系。这两个证明导致推广的猜想。

英文摘要:

In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that the limit of the entropy of certain mixtures is the relative entropy as system size goes to infinity. The conjecture is proven in this paper for density matrices. The first proof is analytic and uses the quantum law of large numbers. The second one clarifies the relation to channel capacity per unit cost for classical-quantum channels. Both proofs lead to generalization of the conjecture.

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。

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