Quantum states satisfying classical probability constraints
Quantum states satisfying classical probability constraints
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满足经典概率约束的量子态
DOI：
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发表时间：
2004
期刊：
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通讯作者：
Elena R. Loubenets
中科院分区：
文献类型：
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作者：
Elena R. Loubenets
对于量子产物的线性组合，在任意双方状态下的平均值，我们得出了新的量子钟形式和CHSH形式的不等式，其右侧是根据双方状态表达的。这使我们能够在一般设置的两分状态属性中指定，足以满足经典CHSH形式不平等的有效性以及原始铃铛不平等的完美相关形式，用于任何有限的量子可观察物。我们还针对二分状态和量子观测值引入了一种新的一般条件，以原始铃铛不平等的有效性，其完美的相关性或反相关形式。在这种普遍的足够条件下，两分量量子状态不一定表现出完美的相关性或反相关性。
For linear combinations of quantum product averages in an arbitrary bipartite state, we derive new quantum Bell-form and CHSH-form inequalities with the right-hand sides expressed in terms of a bipartite state. This allows us to specify in a general setting bipartite state properties sufficient for the validity of a classical CHSH-form inequality and the perfect correlation form of the original Bell inequality for any bounded quantum observables. We also introduce a new general condition on a bipartite state and quantum observables sufficient for the validity of the original Bell inequality, in its perfect correlation or anticorrelation forms. Under this general sufficient condition, a bipartite quantum state does not necessarily exhibit perfect correlations or anticorrelations.