---
title: "A Zoology of Quantum Turing Patterns"
authors: ["Kazuki Ikeda"]
year: 2026
venue: "arXiv:quant-ph"
arxiv: "2608.20151"
doi: null
source: "https://arxiv.org/abs/2608.20151"
topics: [curiosity, cellular-automata-falling-sand]
seed_rank: 1456
seed_batch: "curiosity-2026-08-29"
reviewed: "2026-08-29"
pool: "maths-foundations"
relevance_score: 8
lineage: reaction-diffusion
---

# A Zoology of Quantum Turing Patterns

## One-sentence takeaway

One Lindblad equation hosts a morphology atlas of quantum Turing patterns (stripes, spots, holes, labyrinths, defects), and morphology can survive after Gaussian witness margins have already crossed zero.

## Why it's lovely

Why you might love this: classical Turing morphogenesis gets a quantum zoo — and the stripe 'species' keeps being visible after the usual witnesses say the instability died.

## Problem

Quantum open-system pattern formation needs a morphology taxonomy and a quantitative split between what imaging sees and what Gaussian witnesses report.

## Design

- Morphology atlas from a single Lindblad lattice: stripes/spots/holes/labyrinths/defects.
- Stable stripe case: morphology threshold vs Gaussian witness thresholds separate; witness thresholds ~ N^{-1}, stripe nematic threshold stays finite.
- Imaging and momentum-resolved covariance probe different sectors.

## Evidence

Parametric separation with explicit scaling in lattice size N; controlled stripe species as the quantitative case.

## Limitations

Specialist open quantum systems; not a Noita/CA engine recipe. Classical RD pattern papers not reminted.

## Implications for Broadside

Curiosity biology/physics card that rhymes with Broadside's CA/falling-sand interest: patterns as species, witnesses as imperfect taxonomists.

## Bottom line

Mint the quantum Turing zoo. Morphology outlives its witnesses.

## Links

- arXiv abs: https://arxiv.org/abs/2608.20151
- PDF: https://arxiv.org/pdf/2608.20151.pdf