Quantum Foundations in the Light of Quantum Information
Quantum Foundations in the Light of Quantum Information
复制标题
量子信息中的量子基础
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
C. Fuchs
中科院分区：
文献类型：
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作者：
C. Fuchs
本文报告了三个几乎微不足道的定理，但它们似乎对量子基础研究具有重要意义。 1) 量子概率定律的类似于格里森的推导，但基于正算子值测度作为测量的基本概念（另请参见 Busch，quant-ph/9909073）。值得注意的是，该定理也适用于二维向量空间和有理数上的向量空间，而标准格里森定理则失败了。 2）一种重写量子塌缩规则的方法，使其看起来与经典概率论中用于更新概率的贝叶斯规则几乎完全相同。 3）从类似于格里森的对二分系统局部测量和经典通信的考虑中推导出用于组合量子系统的张量积规则（以及量子纠缠的概念）。
This paper reports three almost trivial theorems that nevertheless appear to have significant import for quantum foundations studies. 1) A Gleason-like derivation of the quantum probability law, but based on the positive operator-valued measures as the basic notion of measurement (see also Busch, quant-ph/9909073). Of note, this theorem also works for 2-dimensional vector spaces and for vector spaces over the rational numbers, where the standard Gleason theorem fails. 2) A way of rewriting the quantum collapse rule so that it looks almost precisely identical to Bayes rule for updating probabilities in classical probability theory. And 3) a derivation of the tensor-product rule for combining quantum systems (and with it the very notion of quantum entanglement) from Gleason-like considerations for local measurements on bipartite systems along with classical communication.
DOI：
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发表时间：
2006
期刊：
影响因子：
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作者：
Sachio Ishioka;Kazuo Fujikawa(編集)
通讯作者：
Kazuo Fujikawa(編集)