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The brain and artificial neural networks are related through research into consciousness and information processing, where quantum information theory [1] and electromagnetic field theories [2] are used to model neural mechanisms, while quantum models of consciousness [3] explore how these biological structures function.

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Quantum Models of Consciousness from a Quantum Information ... arxiv.org arXiv 2 facts
claimAccording to the Conscious Electromagnetic Information (CEMI) Field Theory, information processed in local neural networks can be transferred to the brain’s electromagnetic field, creating disturbances that reflect that information.
referenceQuantum models of consciousness can be categorized into three groups based on the level at which quantum mechanics operates in the brain: models suggesting consciousness arises from electron delocalization within neuronal microtubules, models proposing consciousness emerges from the electromagnetic field surrounding the neural network, and models positing consciousness originates from interactions between individual neurons governed by neurotransmitter molecules.
Quantum Theory of Consciousness - Scirp.org. scirp.org Gangsha Zhi, Rulin Xiu · Scientific Research Publishing 1 fact
claimThe authors of the Quantum Theory of Consciousness paper propose applying quantum information theory, specifically insights regarding quantum entanglement and quantum error correction codes, to study neural networks in the brain to better understand mechanisms such as memory.