Quantum Coherence in Noisy Cellular Automata

TL;DR

This paper investigates how quantum coherence develops and diminishes in noisy one-dimensional cellular automata, highlighting the interplay between quantum and classical dynamics and their behavior in the pseudo-frequency domain.

Contribution

It provides a detailed analysis of coherence dynamics in noisy quantum cellular automata, revealing the effects of noise on quantum evolution and coherence loss.

Findings

Coherence is built and lost dynamically in noisy automata.

Noise influences the quantum-classical transition in automata.

Behavior in the pseudo-frequency domain offers insights into quantum coherence.

Abstract

Quantum cellular automata are important tools in understanding quantum dynamics, thanks to their simple and effective list of rules. Here we investigate explicitly how coherence is built and lost in the evolution of one-dimensional automata subject to noise. Our analysis illustrates the interplay between unitary and noisy dynamics, and draws considerations on their behaviour in the pseudo-frequency domain.