# Quantum-Circuit-Based Visual Fractal Image Generation in Qiskit and Analytics

arXiv: https://arxiv.org/abs/2508.18835 · HTML: https://mlsanity.com/paper/2508.18835/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 3 of its 36 references that are in the map.
- First posted on arXiv 26 Aug 2025.

## Builds on (most cited first, 3 of 3)

- [Learning Image Fractals Using Chaotic Differentiable Point Splatting](https://mlsanity.com/paper/2502.17230/) (2025)
- [OSC-Qasm: Interfacing Music Software with Quantum Computing](https://mlsanity.com/paper/2212.01615/) (2022)
- [Quantum computing inspired paintings: reinterpreting classical masterpieces](https://mlsanity.com/paper/2411.09549/) (2024)

## Built on by (most cited first, 1 of 1)

- [Quantum Random Synthetic Skyrmion Texture Generation, a Qiskit Simulation](https://mlsanity.com/paper/2509.18947/) (2025)

## Abstract (arXiv)

As nature is ascribed as quantum, the fractals also pose some intriguing appearance which is found in many micro and macro observable entities or phenomena. Fractals show self-similarity across sizes; structures that resemble the entire are revealed when zoomed in. In Quantum systems, the probability density or wavefunction may exhibit recurring interference patterns at various energy or length scales. Fractals are produced by basic iterative rules (such as Mandelbrot or Julia sets), and they provide limitless complexity. Despite its simplicity, the Schr"odinger equation in quantum mechanics produces incredibly intricate patterns of interference and entanglement, particularly in chaotic quantum systems. Quantum computing, the root where lies to the using the principles of quantum-mechanical phenomenon, when applied in fractal image generation, what outcomes are expected? The paper outlines the generation of a Julia set dataset using an approach coupled with building quantum circuit, highlighting the concepts of superposition, randomness, and entanglement as foundational elements to manipulate the generated dataset patterns. As Quantum computing is finding many application areas, the possibility of using quantum circuits for fractal Julia image generation posits a unique direction of future research where it can be applied to quantum generative arts across various ecosystems with a customised approach, such as producing an exciting landscape based on a quantum art theme.