复合量子系统作为个体实体的表示：创造的硬行为和隐藏的关联
A Representation for Compound Quantum Systems as Individual Entities: Hard Acts of Creation and Hidden Correlations
摘要：
我们介绍了一个明确的定义为“隐藏的相关性”在一个复合系统中的各个实体：当一个单独的实体进行测量，这会导致一个定义明确的过渡的“适当的状态”的其他个别实体。我们证明了在有限个希尔伯特空间的张量积中描述的每一个复合量子系统都可以唯一地表示为个体（化）（peudo-）实体的集合，在这些实体之间存在这样的隐藏关联。我们调查的意义，这些隐藏的相关表示在所谓的“创造发现的方法”，特别是他们的兼容性与“隐藏的测量形式主义”。这导致我们引入了“软”和“硬"的”创造行为“的概念，并观察到，与标准的量子理论相比，我们的方法可以被视为一种（伪）个体理论。(For本文在量子逻辑背景下提出的想法的介绍，产生了一个关于希尔伯特空间张量积的复合量子系统表示的结构定理，我们参考quant-ph/0008054。）
英文摘要：
We introduce an explicit definition for 'hidden correlations' on individual entities in a compound system: when one individual entity is measured, this induces a well-defined transition of the 'proper state' of the other individual entities. We prove that every compound quantum system described in the tensor product of a finite number of Hilbert spaces can be uniquely represented as a collection of individual(ized) (peudo-)entities between which there exist such hidden correlations. We investigate the significance of these hidden correlation representations within the so-called ``creation-discovery-approach'' and in particular their compatibility with the ``hidden measurement formalism''. This leads us to the introduction of the notions of 'soft' and 'hard' 'acts of creation' and to the observation that our approach can be seen as a theory of (pseudo-)individuals when compared to the standard quantum theory. (For a presentation of the ideas proposed in this paper within a quantum logical setting, yielding a structural theorem for the representation of a compound quantum system in terms of the Hilbert space tensor product, we refer to quant-ph/0008054.)
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