链式典型子空间--Breiman定理的量子化形式
Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
摘要:
我们给出了经典Shannon-McMillan-Breiman定理的一个等价的有限性重新表述,该定理直接转化为遍历量子晶格系统的情形。这个版本的量子Breiman定理可以从我们以前的工作(数学DS/0207121)中提出的量子Shannon-McMillan定理的证明中推导出来。
英文摘要:
We give an equivalent finitary reformulation of the classical Shannon-McMillan-Breiman theorem which has an immediate translation to the case of ergodic quantum lattice systems. This version of a quantum Breiman theorem can be derived from the proof of the quantum Shannon-McMillan theorem presented in our previous work (math.DS/0207121).
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