When our parents didn't like the way we dressed or behaved with other kids, we used to answer with: "One can't beat the fashion!". Coming out of teens, in my college years, the Moiré patterns came to be a choice of fashionable colored shirts to wear. I can't remember now noticing if they came back to fashion again. Instead, it came to my attention the application of the Moiré patterning in 2D graphene technologies and quantum computing. Confirming, in a way, that a "fashion goes in waves". In a manufacturing business, at least.

Scale-space wave information propagation

The paradigm of coupled wave information propagation shows a new way of looking at complex systems dynamics in neuroscience and physics. Properties of a physical system in its relativistic space-time domain are derived from the network of synergistically coupled oscillators.

In addition, the theory of stochastic resonance synergetics lays down a quantum computing approach to the analysis and application of networked data structures.

Self-assembling qubits with Moiré patterns

A displacement potential of Moiré patterns has been studied with generalized random stereograms1. The 5-dimensional decomposition and bonding information quanta via coordinate transformations are proposed2.

The scale-space computing paradigm is described by a wave motion through the scale-space. Mirroring a holographic representation with the quadrupole symmetries of conserved properties.

Twisting light in quantum circuits

Twisting superfluidity in 2D is a promising approach to build topological quantum computing. It has been proven viable both, technologically and supported in theory.

A common way to express exploration of configuration space in the quantum system is by its path integral. In the theory of stochastic resonance synergies, the coupled network dynamics connect the largest and the smallest structures in a partition function. The mathematical formulation of the path integral describes computation from an initial to a final configuration, in the scale-space.

Making quantum computing available at room temperature is an active research area. Major obstacles come from the so-called quantum decoherence problem. It requires both, spatial and temporal resilience to noise.

Time-crystals and quantum computing

And the colors are much brighter now
It's like they really want to tell the truth
We give our testimony
To the end of the summer
It's the end of the summer
You can spin the light to gold.

(End of Summer, Dar Williams)

Time translational symmetry has been observed in nature in addition to spatial. Taken together, these crystals' properties have been initially studied for technological approaches to quantum computing.

Naturally evolving periodic crystals appear more resilient to noise. Arguably, the controllable temporal coherence of time crystals makes a good choice for future quantum memories.

The scale-space wave information propagation comes with the path integral formulation to quantum computing and spintronics. We foresee a vibrational dynamics approach would make it a controllable quantum network, as well.

Notes

1 Jovovic, M., A Markov random fields model for describing inhomogeneous textures: generalized random stereograms. IEEE Workshop Proceedings on Visualization and Machine Vision, and IEEE Workshop Proceedings on Biomedical Image Analysis, Seattle, 1994.
2 Jovovic, M., Stochastic Resonance Synergetics. Quantum Information Theory for Multidimensional Scaling, Journal of Quantum Information Science, 5/2:47-57, 2015.