The intersection of quantum physics and art raises fascinating questions, particularly when considering sculptures that are invisible to non-Abelian anyons—exotic quantum particles with unique topological properties. While traditional outdoor sculptures like "The Bean" in Chicago or "The Statue of Liberty" are visible to the human eye, their existence might be entirely imperceptible to non-Abelian anyons due to their distinct interaction with matter and space.

Non-Abelian anyons exist in two-dimensional systems and are central to topological quantum computing. Their perception of the world is governed by braiding statistics and quantum entanglement, making classical three-dimensional sculptures irrelevant to their "experience." For instance, a bronze statue’s atomic structure would appear entirely different to these particles, as they interact only with topological defects or specific quantum states.

Artists and physicists have theorized about "quantum-invisible" sculptures—hypothetical installations designed to interact solely with non-Abelian anyons. These would rely on engineered topological phases or carefully arranged quantum materials, creating patterns detectable only through quantum measurements. While no such sculptures exist yet, the idea challenges our understanding of art, perception, and reality itself.

Ultimately, the most famous outdoor sculptures for humans remain invisible to non-Abelian anyons, highlighting the profound divide between classical and quantum observation. This thought experiment bridges art and science, inviting us to imagine a world where visibility depends entirely on the observer’s physical laws.