Observable Implications of Unobservable Variables
Observable Implications of Unobservable Variables
复制标题
不可观察变量的可观察含义
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
H. Keisler
中科院分区：
文献类型：
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作者：
Adam Brandenburger;H. Keisler
从可观测（经验）变量空间上的概率测度e开始。我们能不能找到一个包含隐变量的扩展空间，在这个空间上有一个概率测度p，其中p需要满足一定的独立条件，这样e就可以从p得到？这个问题可以在经典或量子力学系统中提出。(In在典型的经典情况下，否定的答案可能告诉我们双方Ann和Bob具有通信信道。在典型的量子力学情况下，否定的答案可能告诉我们两个空间分离的粒子是纠缠的。）当观测空间是nite或可数的，我们给一个完整的答案的问题：我们dene一组不等式（可从一个更大的集合通过傅立叶-Motzkin消除），描述的概率措施e，可以这样分析。当观测量空间具有可数生成的-代数时，我们能够给出一个必要条件。
Start with a probability measure e on a space of observable (empirical) variables. Can we nd an extended space that includes hiddenvariables, and a probability measure p on this space, where p is required to satisfy certain independence conditions, so that e can be obtained from p? This question can be asked about either classical or quantum-mechanical systems. (In a typical classical case, a negative answer might tell us that two parties Ann and Bob have a communication channel. In a typical quantum-mechanical case, a negative answer might tell us that two spatially separated particles are entangled.) When the space of observables is nite or countable, we give a complete answer to the question: We dene a set of inequalities (obtainable from a larger set via Fourier-Motzkin elimination) that describes the probability measures e that can be so analyzed. When the space of observables has a countably generated -algabra, we are able to give a necessary condition.