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Being Arranged in Advance - Quantum Entanglement and Biological Feedback

The categorical semantics of quantum protocols proposed by Abramsky and Coecke reveals that a prearranged quantum entanglement brings a strange quantum information flow in the quantum teleportation protocol. Their formal argument leads us to the distinction between an information flow sequence and a causal sequence on the same event. If this distinction is applied to information processing biological networks, we can claim that a prearranged biological feedback can play the same role as the quantum entanglement on the emergence of a specific local structure of networks. The aim of this paper is to provide a first step toward formal arguments on changes in biology without the external time parameter.