Hidden Coherence and Controlled Quasihole Motion in a Fermionic Laughlin State on a Superconducting Quantum Processor

arXiv:2611.10687v1 Announce Type: new Abstract: Fractional quantum Hall (FQH) states support fractionalized excitations and geometric phases, yet experimentally resolving the many-body coherence encoded in their wave functions remains challenging. Here, we prepare a three-electron $\nu=1/3$ Laughlin state on the Haldane sphere using seven superconducting qubits and reconstruct its many-body density matrix. Through Read's composite-boson construction, we reveal vortex-dressed coherence that remains appreciable over a larger separation range than electron coherence. The extended profile is suppressed in a Fock-diagonal reference constructed from the measured populations, demonstrating its dependence on off-diagonal many-body coherence.