Typical Support and Sanov Large Deviations of Correlated States
Typical Support and Sanov Large Deviations of Correlated States
复制标题
相关状态的典型支持度和萨诺夫大偏差
DOI：
10.1007/s00220-008-0440-6
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发表时间：
2007
影响因子：
2.4
通讯作者：
A. Szkola
中科院分区：
文献类型：
--
作者：
I. Bjelakovic;J. Deuschel;T. Krüger;R. Seiler;R. Siegmund;A. Szkola
离散的定常经典过程和量子晶格态都被渐近地限制在它们各自的典型支撑点上，其指数增长率由(最大遍历)熵给出。在IID情形下，根据Sanov定理，典型支撑体的可区分性可以用相对熵来渐近地描述。我们给出了相关情形的推广，涉及到新引入的一类HP-态。
Discrete stationary classical processes as well as quantum lattice states are asymptotically confined to their respective typical support, the exponential growth rate of which is given by the (maximal ergodic) entropy. In the iid case the distinguishability of typical supports can be asymptotically specified by means of the relative entropy, according to Sanov’s theorem. We give an extension to the correlated case, referring to the newly introduced class of HP-states.