Monday 11 December 2023

Building Bridges between Synchronization and Quantum Entanglement in Networks



The similarities between so-called classical synchronization and quantum entanglement is not lost on some of the emergent, self-similar behavior, that exists in these systems. This can be seen in the systems themselves, separately. Perturbations in quantum systems lead to discontinuities that can lead to decoherence however systems of entangled quantum oscillators can also display error-correction in certain topological states, such as toric and/or surface codes. Classical systems meanwhile display so-called chimera states that exist as a "phase state" between order and disorder to an extent that these states can actually steer a self-organised system back from a chaotic edge and maintain itself durable. I have explored these concepts in a previous video: However here I wish to showcase some of the actual simulations I've done with software and hardware which does not necessarily take us into using the exotic systems found in a quantum optics lab. Metaheuristic algorithms meanwhile that port and parse some of the measurement spaces found in quantum systems, i.e. the Poincare/Bloch/Riemann Sphere and represent them as "squashed" pseudo-quantum states represented as HSV values say can nevertheless display some of the "quantumness" which can be described using, among other things, the path integral formalism of quantum mechanics and even resembles the behavior of real-world quantum states of matter such as entangled networks, Bose-Einstein condensates, currents and flows of Cooper pairs in superconductors etc. From all of this we could very well as, are all of these variations on a common physical theme? Another question we could ask in this research is, at what scale does entanglement end and synchronization begin and vice versa?

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