A Representation for Compound Quantum Systems as Individual Entities: Hard Acts of Creation and Hidden Correlations

摘要

We introduce an explicit definition for 'hidden correlations' on individualentities in a compound system: when one individual entity is measured, thisinduces a well-defined transition of the 'proper state' of the other individualentities. We prove that every compound quantum system described in the tensorproduct of a finite number of Hilbert spaces can be uniquely represented as acollection of individual(ized) (peudo-)entities between which there exist suchhidden correlations. We investigate the significance of these hiddencorrelation 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 thenotions of 'soft' and 'hard' 'acts of creation' and to the observation that ourapproach can be seen as a theory of (pseudo-)individuals when compared to thestandard quantum theory. (For a presentation of the ideas proposed in thispaper within a quantum logical setting, yielding a structural theorem for therepresentation of a compound quantum system in terms of the Hilbert spacetensor product, we refer to quant-ph/0008054.)