Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
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DOI：
10.1103/physreva.93.012101
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发表时间：
2014-08
影响因子：
2.9
通讯作者：
F. Buscemi;N. Datta
中科院分区：
文献类型：
--
作者：
F. Buscemi;N. Datta
无记忆随机过程的关键特征是，关于其状态的任何信息只能随着系统的演化而减少。在这里，我们表明，这种减少的信息是相当于潜在的随机演化是可分的。主要的结果，对经典和量子随机过程都成立，依赖于经典统计学中所谓的Blackwell-Sherman-Stein定理的量子版本。
The crucial feature of a memoryless stochastic process is that any information about its state can only decrease as the system evolves. Here we show that such a decrease of information is equivalent to the underlying stochastic evolution being divisible. The main result, which holds for both classical and quantum stochastic processes, rely on a quantum version of the so-called Blackwell-Sherman-Stein theorem in classical statistics.