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Structural Characterization of Compoundness

Bob Coecke
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Abstract

We recover the rays in the tensor product of Hilbert spaces within a larger class of so called `states of compoundness', structured as a complete lattice with the `state of separation' as its top element. At the base of the construction lies the assumption that the cause of actuality of a property of one of the (as individual considered) entities in the compound system can be actuality of a property of the other one.

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Bob Coecke. 2001-05-19. Structural Characterization of Compoundness. https://arxiv.org/abs/quant-ph/0008054

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