Computation of a Quantum Mechanics-like Wave in a Simulated Brain Neuron

Vladimir G. Ivancevic, Tijana T. Ivancevic

Jincheng Zhang

Biological neuronal networks represent a fundamental component of complex systems, including the brain. Simulating these networks accurately and efficiently is a significant challenge, largely due to the intricate, non-linear interactions between neurons. Traditional simulation methods, often relying on numerical integration techniques like the Hodgkin-Huxley model, are computationally intensive, particularly when scaling to large networks. This paper proposes a novel approach to neuronal network simulation inspired by quantum mechanics, specifically leveraging concepts of superposition and entanglement. We introduce a framework that utilizes quantum-inspired algorithms to represent and evolve neuronal states, aiming to dramatically reduce computational overhead. The core idea involves mapping neuronal dynamics onto a quantum system, where neurons are represented by qubits, and synaptic connections are modeled as quantum gates. The simulation process then utilizes quantum algorithms to evolve the system, effectively capturing the parallel and interconnected nature of neuronal networks. We present a mathematical formulation of the simulation process, focusing on the evolution equation for neuronal states. We explore key concepts like wave function collapse and measurement in the context of neuronal network simulation, offering a potential pathway for more realistic and efficient modeling of biological neural systems. The ultimate goal is to provide a computationally tractable method for simulating large-scale neuronal networks, leading to improved understanding of brain function and potentially facilitating the development of advanced neurotechnologies. The presented framework offers a distinct alternative to conventional methods, promising significant advantages in terms of speed and scalability.

Andrei Yu. Khrennikov

Nicolas Francisco Lori, José Machado

Abstract An assessment is made of the role of quantum entanglement in biological neuronal circuitry, in agreement with previous experimental evidence, which indicated that quantum tunneling plays an essential role in the occurrence of the sense of smell. It is here described how that can be physically realistic. Then, it is analyzed how the occurrence of quantum entanglement in multiple scales allows for the occurrence of consciousness in biological systems. We obtain that quantum mechanics (QM) allows for coherence to be maintained in living brains for regions in the scale of the minicollumn, but not much more. The QM waves can then be amplified into classical waves along the brain that transmit information, which existed in the quantum wave at minicollumn scale. For the quantum wave to be able to exist at the minicollumn scale at the temperature of a living brain, several physiological constraints need to occur within the neuronal circuitry. Here, we assess what those constraints are and propose forms for realistically theorizing that those constraints can occur in a living brain at the minicollumn scale. This analysis of the effects of quantum entanglement in biological neuronal circuitry assists in suggesting a new approach to neuronal nets, which we call a multidepth quantum neural net. We then analyze in what way it is likely that in the future a multidepth quantum neural net will be capable of achieving consciousness.

Dan A. Ventura, Tony R. Martinez

H. Valian, Hassan Bassereh, A. Barkhordari +1 more

One of the answers to the measurement problem in quantum theory is given by the Copenhagen-Interpretation of quantum theory (i.e. orthodox quantum theory) in which the wave function collapse happens in (by) the mind of observer. In fact, at first, great scientists like Von Neumann, London, Bauer and Wigner (initially) believed that the wave function collapse occurs in the brain or is caused by the consciousness of observer. However, this issue has been stayed yet very controversial. In fact, there are many challenging discussions about the survival of quantum effects in microscopic structures of the human brain, which is mainly because of quick decoherence of quantum states due to hot, wet and noisy environment of the brain that forbids long life coherence for brain processing. Nevertheless, there are also several arguments and evidences that emergence of large coherent states is feasible in the brain. In this paper, our approach is based on the latter in which macroscopic quantum states are probable in the human brain. Here, we simulate the delayed luminescence of photons in neurons with a Brassard-like teleportation circuit, i.e. equivalent to the transfer of quantum states of photons through the visual pathways from retina to the visual cortex. Indeed, our simulation considers both classical and quantum mechanical aspects of processing in neurons. As a result and based on our simulation, it is possible for our brain to receive the exact quantum states of photons in the visual cortex to be collapsed by our consciousness, which supports the Copenhagen-Interpretation of measurement problem in quantum theory.